Category Archives: Quantum Physics

What is Quantum? – Qiskit

To cover quantum phenomena, we need to first remind ourselves of 'classical' probabilities. In this sense, 'classical' just means pre-quantum, i.e. the normal probability trees you should have seen in school. If you're already familiar with this material, you should move through it quickly. If you're not so hot on this then don't worry- we'll only cover some of the simplest probability problems possible.

You will hopefully remember probability trees from school. The idea is simple - we use a drawing to map out every possible eventuality and from this, we can calculate the chance of it happening.

Say we have a coin, and to start, we place it in the state Heads. If we then toss this fair coin and look at it, there is a 50% chance we will see Heads again, and a 50% chance of seeing Tails instead. We can plot this on a probability tree like so:

We draw the outcomes on the end of each branch, and the probabilities of each occurrence on the branches. Similarly, if we started in the state Tails and tossed the coin, we would have a 50% chance of seeing Heads and a 50% chance of seeing tails.

We can test this works by trying it. You can physically get a coin out, flip it many times, and record each result; you will eventually see roughly 50% of your results are Heads and 50% tails. Around 500 to 1000 tosses should be enough to get reliable results.

Too lazy to try this? Dont worry! You can simulate the coin-tossing experiment by pressing the Toss Coin button below to simulate a coin toss and store the results. You can change the initial state to 'Heads' or 'Tails', or increase the number of coins (No. of Coins) slider to get many results quickly. Click Reset to discard your results and start again.

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What is Quantum? - Qiskit

About Quantum | Quantum

Yesterday, data was simply stored and managed. Today, data is an essential differentiator. At Quantum, we believe it's time to shift the focus from accumulating data to making it work much harder. Its a new data reality thats endlessly alive. Its massively growing, widely distributed, unstructured, and its gaining value at every turn. Your video and unstructured data not only needs to be fully protected, but it is also full of possibility. Quantum partners with you so you can shape it, use it, and transform it into the information you need to drive forward. With Quantum, you can enrich, orchestrate, protect, and archive your video and unstructured data, securely and at scalenow and for decades to come.

Its not only about managing data. Its about making sure you can extract value from it to gain a competitive edge. Between 80-90% of data collected today is unstructured. Locked inside these video and audio files, photos, security camera footage, sensor data, scientific data, and satellite imagery is a wealth of information that holds the key to informed decision-making.

We enable a world where data is alive. We make it right-time, right-place data so its available, discoverable, and safe. With Quantum, you have the insights you need to drive new opportunities, explore new paths, or accelerate the next groundbreaking discovery. Our bold, innovative, end-to-end data solutions allow forward-thinking organizationslike yoursto harness the enriched world of living data.

Solutions to Securely Scale Your Organization

Quantum allows you to focus on growing your business, not on managing your data. With the security of onsite data and the ease of the cloud, our software, subscriptions, and services help to power your data infrastructure. You no longer must choose how much of your valuable data to saveour edge-to-core-to-cloud solutions are designed with smart economics in mind. And, since we build in security at the foundation of our data solutions, you never have to sacrifice flexibility for data safety.

An End-to-End Platform to Support Data Growth

This isnt inflexible, one-size-fits-all data management. Its innovative technology that supports your business, your needs, and your budget through the entire lifecyclefrom where data is captured to where its stored to where its used. From the worlds fastest file system for video to OPEX-friendly software subscriptions and as-a-Service options, Quantum solutions support your business every step of the way. Whether your business is helping to keep the world safe, making breakthrough discoveries, or creating entertainment, our end-to-end data solutions are built for living data.

The Tools You Need to Add Value to Your Data

Quantum builds in data enrichment at the foundation of our solutions, so getting valuable information from your data is not an afterthought. With complete, ecosystem-friendly solutions, you can store as much data as you neednow and in the futureand leverage rich information about your business. Quantum solutions allow you to avoid overprovisioning your data infrastructure through scalable on-prem solutions and subscription-based models. So, with Quantum, your data works for you.

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About Quantum | Quantum

The Primacy of Doubt: From Quantum Physics to Climate Change, How the Science of Uncertainty Can Help Us Understand Our Chaotic World – Next Big Idea…

The Primacy of Doubt: From Quantum Physics to Climate Change, How the Science of Uncertainty Can Help Us Understand Our Chaotic World  Next Big Idea Club Magazine

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The Primacy of Doubt: From Quantum Physics to Climate Change, How the Science of Uncertainty Can Help Us Understand Our Chaotic World - Next Big Idea...

What Has Quantum Mechanics Ever Done For Us? – Forbes

In a different corner of the social media universe, someone left comments on a link to Tuesday's post about quantum randomness declaring that they weren't aware of any practical applications of quantum physics. There's a kind ofLife of Brian absurdity to posting this on the Internet, which is a giant world-spanning, life-changing practical application of quantum mechanics. But just to make things a little clearer, here's a quick look at some of the myriad everyday things that depend on quantum physics for their operation.

Computers and Smartphones

Intel Corp. CEO Paul Otellini show off chips on a wafer built on so-called 22-nanometer technology... [+] at the Intel Developers' Forum in San Francisco, Tuesday, Sept. 22, 2009. Those chips are still being developed in Intel's factories and won't go into production until 2011. Each chip on the silicon "wafer" Otellini showed off has 2.9 billion transistors. (AP Photo/Paul Sakuma)

At bottom, the entire computer industry is built on quantum mechanics. Modern semiconductor-based electronics rely on the band structure of solid objects. This is fundamentally a quantum phenomenon, depending on the wave nature of electrons, and because we understand that wave nature, we can manipulate the electrical properties of silicon. Mixing in just a tiny fraction of the right other elements changes the band structure and thus the conductivity; we know exactly what to add and how much to use thanks to our detailed understanding of the quantum nature of matter.

Stacking up layers of silicon doped with different elements allows us to make transistors on the nanometer scale. Millions of these packed together in a single block of material make the computer chips that power all the technological gadgets that are so central to modern life. Desktops, laptops, tablets, smartphones, even small household appliances and kids' toys are driven by computer chips that simply would not be possible to make without our modern understanding of quantum physics.

Lasers and Telecommunications

Green LED lights and rows of fibre optic cables are seen feeding into a computer server inside a... [+] comms room at an office in London, U.K., on Tuesday, Dec. 23, 2014. Vodafone Group Plc will ask telecommunications regulator Ofcom to guarantee that U.K. wireless carriers, which rely on BT's fiber network to transmit voice and data traffic across the country, are treated fairly when BT sets prices and connects their broadcasting towers. Photographer: Simon Dawson/Bloomberg

Unless my grumpy correspondent was posting from the exact server hosting the comment files (which would be really creepy), odds are very good that comment took a path to me that also relies on quantum physics, specifically fiber optic telecommunications. The fibers themselves are pretty classical, but the light sources used to send messages down the fiber optic cables are lasers, which are quantum devices.

The key physics of the laser is contained in a 1917 paper Einstein wrote on the statistics of photons (though the term "photon" was coined later) and their interaction with atoms. This introduces the idea of stimulated emission, where an atom in a high-energy state encountering a photon of the right wavelength is induced to emit a second photon identical to the first. This process is responsible for two of the letters in the word "laser," originally an acronym for "Light Amplification by Stimulated Emission of Radiation."

Any time you use a laser, whether indirectly by making a phone call, directly by scanning a UPC label on your groceries, or frivolously to torment a cat, you're making practical use of quantum physics.

Atomic Clocks and GPS

TO GO WITH AN AFP STORY BY ISABELLE TOUSSAINT A woman holds her smartphone next to her dog wearing a... [+] GPS system on its collar in La Celle-Saint-Cloud on July 1, 2015. The Global Positioning System (GPS) collar help owners to track their pets remotely. AFP PHOTO / MIGUEL MEDINA (Photo credit should read MIGUEL MEDINA/AFP/Getty Images)

One of the most common uses of Internet-connected smart phones is to find directions to unfamiliar places, another application that is critically dependent on quantum physics. Smartphone navigation is enabled by the Global Positioning System, a network of satellites each broadcasting the time. The GPS receiver in your phone picks up the signal from multiple clocks, and uses the different arrival times from different satellites to determine your distance from each of those satellites. The computer inside the receiver then does a bit of math to figure out the single point on the surface of the Earth that is that distance from those satellites, and locates you to within a few meters.

This trilateration relies on the constant speed of light to convert time to distance. Light moves at about a foot per nanosecond, so the timing accuracy of the satellite signals needs to be really good, so each satellite in the GPS constellation contains an ensemble of atomic clocks. These rely on quantum mechanics-- the "ticking" of the clock is the oscillation of microwaves driving a transition between two particular quantum states in a cesium atom (or rubidium, in some of the clocks).

Any time you use your phone to get you from point A to point B, the trip is made possible by quantum physics.

Magnetic Resonance Imaging

Leila Wehbe, a Ph.D. student at Carnegie Mellon University in Pittsburgh, talks about an experiment... [+] that used brain scans made in this brain-scanning MRI machine on campus, Wednesday, Nov. 26, 2014. Volunteers where scanned as each word of a chapter of "Harry Potter and the Sorcerer's Stone" was flashed for half a second onto a screen inside the machine. Images showing combinations of data and graphics were collected. (AP Photo/Keith Srakocic)

The transition used for atomic clocks is a "hyperfine" transition, which comes from a small energy shift depending on how the spin of an electron is oriented relative to the spin of the nucleus of the atom. Those spins are an intrinsically quantum phenomenon (actually, it comes in only when you include special relativity with quantum mechanics), causing the electrons, protons, and neutrons making up ordinary matter behave like tiny magnets.

This spin is responsible for the fourth and final practical application of quantum physics that I'll talk about today, namely Magnetic Resonance Imaging (MRI). The central process in an MRI machine is called Nuclear Magnetic Resonance (but "nuclear" is a scary word, so it's avoided for a consumer medical process), and works by flipping the spins in the nuclei of hydrogen atoms. A clever arrangement of magnetic fields lets doctors measure the concentration of hydrogen appearing in different parts of the body, which in turn distinguishes between a lot of softer tissues that don't show up well in traditional x-rays.

So any time you, a loved one, or your favorite professional athlete undergoes an MRI scan, you have quantum physics to thank for their diagnosis and hopefully successful recovery.

So, while it may sometimes seem like quantum physics is arcane and remote from everyday experience (a self-inflicted problem for physicists, to some degree, as we often over-emphasize the weirder aspects when talking about quantum mechanics), in fact it is absolutely essential to modern life. Semiconductor electronics, lasers, atomic clocks, and magnetic resonance scanners all fundamentally depend on our understanding of the quantum nature of light and matter.

But, you know, other than computers, smartphones, the Internet, GPS, and MRI, what has quantum physics ever done for us?

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What Has Quantum Mechanics Ever Done For Us? - Forbes

Introduction to Quantum physics – Quantum Technology

Quantum computers will make enormous computing power available to solve certain problem classes. They are built from quantum bits (individual atoms, ions, photons or quantum electronic circuits) and exploit superposition and entanglement, to solve problems we could never solve otherwise. That includes, for example, processing vast amounts of data faster than ever before to search databases, solve equations, and recognise patterns. They may even have the potential to train artificial intelligence systems, e.g. for digital assistants that help doctors to diagnose diseases and suggest the most promising therapy, or to optimise the routes of all cars in a city simultaneously to avoid traffic jams and reduce emissions.

Closely related to quantum computers are quantum simulators. They will be key to the design of new chemicals, from drugs to fertilisers for future medicine and agriculture, and of new materials, such as high-temperature superconductors for energy distribution without losses. Closely related to quantum computers are quantum simulators. They will be key to the design of new chemicals, from drugs to fertilisers for future medicine and agriculture, and of new materials, such as high-temperature superconductors for energy distribution without losses. Some quantum simulators are specialised quantum computers. Others imitate the idea of a wind tunnel: while there, small models are used to understand the aerodynamics cars or planes, some quantum simulators use simple model quantum systems (such as an array of single atoms) to understand systems that would be even more difficult to experiment with.

Quantum communication will help protect the increasing amounts of citizens data transmitted digitally, for instance health records and financial transactions. A typical implementation of quantum networks uses single photons. If anything intercepts a single photon it will be noticed, meaning that with quantum technology we can achieve the most secure form of communication known, impossible to intercept without detection. For point-to-point communication, this is already on the market today and will be developed further into a quantum internet.

Besides Quantum Communication, Quantum sensors will arguably be the basis for the first applications of Quantum Technologies. They provide the most accurate measurements and will drastically increase the performance of consumer devices and services, from medical diagnostics and imaging to high-precision navigation, to future applications in the Internet of Things. Quantum sensors use similar technologies as quantum computers and networks: they detect the tiniest disturbances because they are based on e.g., single electrons, the smallest possible charges and magnets. Quantum metrology uses quantum sensors to define the standards for e.g. time-keeping or electrical measurements.

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Introduction to Quantum physics - Quantum Technology

In Quantum Physics, Even Humans Act As Waves – Forbes

Light is well known to exhibit both wave-like and particle-like properties, as imaged here in this ... [+] 2015 photograph. What's less well appreciated is that matter particles also exhibit those wave-like properties. Even something as massive as a human being should have wave properties as well, although measuring them will be difficult.

Is it a wave or is it a particle? Never has such a simple question had such a complicated answer as in the quantum realm. The answer, perhaps frighteningly, depends on how you ask the question. Pass a beam of light through two slits, and it acts like a wave. Fire that same beam of light into a conducting plate of metal, and it acts like a particle. Under appropriate conditions, we can measure either wave-like or particle-like behavior for photons the fundamental quantum of light confirming the dual, and very weird, nature of reality.

This dual nature of reality isnt just restricted to light, either, but has been observed to apply to all quantum particles: electrons, protons, neutrons, even significantly large collections of atoms. In fact, if we can define it, we can quantify just how wave-like a particle or set of particles is. Even an entire human being, under the right conditions, can act like a quantum wave. (Although, good luck with measuring that.) Heres the science behind what that all means.

This illustration, of light passing through a dispersive prism and separating into clearly defined ... [+] colors, is what happens when many medium-to-high energy photons strike a crystal. If we struck this prism with a single photon and space were discrete, the crystal could only possibly move a discrete, finite number of spatial steps, but only a single photon would either reflect or transmit.

The debate over whether light behaves as a wave or a particle goes all the way back to the 17th century, when two titanic figures in physics history took opposite sides on the issue. On the one hand, Isaac Newton put forth a corpuscular theory of light, where it behaved the same way that particles did: moving in straight lines (rays) and refracting, reflecting, and carrying momentum just as any other kind of material would. Newton was able to predict many phenomena this way, and could explain how white light was composed of many other colors.

On the other hand, Christiaan Huygens favored the wave theory of light, noting features like interference and diffraction, which are inherently wave-like. Huygens work on waves couldnt explain some of the phenomena that Newtons corpuscular theory could, and vice versa. Things started to get more interesting in the early 1800s, however, as novel experiments began to truly reveal the ways in which light was intrinsically wave-like.

The wave-like properties of light, originally hypothesized by Christiaan Huygens, became even better ... [+] understood thanks to Thomas Young's two-slit experiments, where constructive and destructive interference effects showed themselves dramatically.

If you take a tank filled with water and create waves in it, and then set up a barrier with two slits that allow the waves on one side to pass through to the other, youll notice that the ripples interfere with one another. At some locations, the ripples will add up, creating larger magnitude ripples than a single wave alone would permit. At other locations, the ripples cancel one another out, leaving the water perfectly flat even as the ripples go by. This combination of an interference pattern with alternating regions of constructive (additive) and destructive (subtractive) interference is a hallmark of wave behavior.

That same wave-like pattern shows up for light, as first noted by Thomas Young in a series of experiments performed over 200 years ago. In subsequent years, scientists began to uncover some of the more counterintuitive wave properties of light, such as an experiment where monochromatic light shines around a sphere, creating not only a wave-like pattern on the outside of the sphere, but a central peak in the middle of the shadow as well.

The results of an experiment, showcased using laser light around a spherical object, with the actual ... [+] optical data. Note the extraordinary validation of Fresnel's wave theory of light prediction: that a bright, central spot would appear in the shadow cast by the sphere, verifying the "absurd" prediction of the wave theory of light. The original experiment was performed by Francois Arago.

Later in the 1800s, Maxwells theory of electromagnetism allowed us to derive a form of charge-free radiation: an electromagnetic wave that travels at the speed of light. At last, the light wave had a mathematical footing where it was simply a consequence of electricity and magnetism, an inevitable result of a self-consistent theory. It was by thinking about these very light waves that Einstein was able to devise and establish the special theory of relativity. The wave nature of light was a fundamental reality of the Universe.

But it wasnt a universal one. Light also behaves as a quantum particle in a number of important ways.

Those developments and realizations, when synthesized together, led to arguably the most mind-bending demonstration of quantum weirdness of all.

Double slit experiments performed with light produce interference patterns, as they do for any wave ... [+] you can imagine. The properties of different light colors is understood to be due to the differing wavelengths of monochromatic light of various colors. Redder colors have longer wavelengths, lower energies, and more spread-out interference patterns; bluer colors have shorter wavelengths, higher energies, and more closely bunched maxima and minima in the interference pattern.

If you take a photon and fire it at a barrier that has two slits in it, you can measure where that photon strikes a screen a significant distance away on the other side. If you start adding up these photons, one-at-a-time, youll start to see a pattern emerge: an interference pattern. The same pattern that emerged when we had a continuous beam of light where we assumed that many different photons were all interfering with one another emerges when we shoot photons one-at-a-time through this apparatus. Somehow, the individual photons are interfering with themselves.

Normally, conversations proceed around this experiment by talking about the various experimental setups you can make to attempt to measure (or not measure) which slit the photon goes through, destroying or maintaining the interference pattern in the process. That discussion is a vital part of exploring the nature of the dual nature of quanta, as they behave as both waves and particles depending on how you interact with them. But we can do something else thats equally fascinating: replace the photons in the experiment with massive particles of matter.

Electrons exhibit wave properties just as well as photons do, and can be used to construct images or ... [+] probe particle sizes just as well as light can. (And in some cases, they can even do a superior job.) This wave-like nature extends to all matter particles, even composite particles and, in theory, macroscopic ones.

Your initial thought might go something along the lines of, okay, well photons can act as both waves and particles, but thats because photons are massless quanta of radiation. They have a wavelength, which explains the wave-like behavior, but they also have a certain amount of energy that they carry, which explains the particle-like behavior. And therefore, you might expect, that these matter particles would always act like particles, since they have mass, they carry energy, and, well, theyre literally defined as particles!

But in the early 1920s, physicist Louis de Broglie had a different idea. For photons, he noted, each quantum has an energy and a momentum, which are related to Planck's constant, the speed of light, and the frequency and wavelength of each photon. Each quantum of matter also has an energy and a momentum, and also experiences the same values of Plancks constant and the speed of light. By rearranging terms in the exact same way as theyd be written down for photons, de Broglie was able to define a wavelength for both photons and matter particles: the wavelength is simply Plancks constant divided by the particles momentum.

When electrons are fired at a target, they will diffract off at an angle. Measuring the electrons' ... [+] momenta enables us to determine whether their behavior is wave-like or particle-like, and the 1927 Davisson-Germer experiment was the first experimental confirmation of de Broglie's "matter wave" theory.

Mathematical definitions are nice, of course, but the real test of physical ideas always comes from experiments and observations: you have to compare your predictions with actual tests of the Universe itself. In 1927, Clinton Davisson and Lester Germer fired electrons at a target that produced diffraction for photons, and the same diffraction pattern resulted. Contemporaneously. George Paget fired electrons at thin metal foils, also producing diffraction patterns. Somehow, the electrons themselves, definitively matter particles, were also behaving as waves.

Subsequent experiments have revealed this wave-like behavior for many different forms of matter, including forms that are significantly more complicated than the point-like electron. Composite particles, like protons and neutrons, display this wave-like behavior as well. Neutral atoms, which can be cooled down to nanokelvin temperatures, have demonstrated de Broglie wavelengths that are larger than a micron: some ten thousand times larger than the atom itself. Even molecules with as many as 2000 atoms have been demonstrated to display wave-like properties.

In 2019. scientists achieved a quantum superposition of the largest molecule ever: one with over ... [+] 2000 individual atoms and a total mass of more than 25,000 atomic mass units. Here, the delocalization of the massive molecules used in the experiment is illustrated.

Under most circumstances, the momentum of a typical particle (or system of particles) is sufficiently large that the effective wavelength associated with it is far too small to measure. A dust particle moving at just 1 millimeter per second has a wavelength thats around 10-21 meters: about 100 times smaller than the smallest scales humanitys ever probed at the Large Hadron Collider.

For an adult human being moving at the same speed, our wavelength is a minuscule 10-32 meters, or just a few hundred times larger than the Planck scale: the length scale at which physics ceases to make sense. Yet even with an enormous, macroscopic mass and some 1028 atoms making up a full-grown human the quantum wavelength associated with a fully formed human is large enough to have physical meaning. In fact, for most real particles, only two things determine your wavelength:

Matter waves, at least in theory, can be used to amplify or impede certain signals, which could bear ... [+] fruit for a number of interesting applications, including the potential for rendering certain objects effectively invisible. This is one potential approach towards a real-life cloaking device.

In general, that means there are two things you can do to coax matter particles into behaving as waves. One is that you can reduce the mass of the particles to as small a value as possible, as lower-mass particles will have larger de Broglie wavelengths, and hence larger-scale (and easier to observe) quantum behaviors. But another thing you can do is reduce the speed of the particles youre dealing with. Slower speeds, which are achieved at lower temperatures, translate into smaller values of momentum, which means larger de Broglie wavelengths and, again, larger-scale quantum behaviors.

This property of matter opens up a fascinating new area of feasible technology: atomic optics. Whereas most of the imaging we conduct is strictly done with optics i.e., light we can use slow-moving atomic beams to observe nanoscale structures without disrupting them in the ways that high-energy photons would. As of 2020, there is an entire sub-field of condensed matter physics devoted to ultracold atoms and the study and application of their wave behavior.

The 2009 invention of the quantum gas microscope enabled the 2015 measurement of fermionic atoms in ... [+] a quantum lattice, which could lead to breakthroughs in superconductivity and other practical applications.

There are many pursuits in science that seem so esoteric that most of us have a hard time envisioning how theyd ever become useful. In todays world, many fundamental endeavors for new highs in particle energies; for new depths in astrophysics; for new lows in temperature seem like purely intellectual exercises. And yet, many technological breakthroughs that we take for granted today were unforeseeable by those who laid the scientific foundations.

Heinrich Hertz, who created and sent radio waves for the first time, thought he was merely confirming Maxwells electromagnetic theory. Einstein never imagined that relativity could enable GPS systems. The founders of quantum mechanics never considered advances in computation or the invention of the transistor. But today, were absolutely certain that the closer we get to absolute zero, the more the entire field of atomic optics and nano-optics will advance. Perhaps, someday, well even be able to measure quantum effects for entire human beings. Before you volunteer, though, you might be happier to put a cryogenically frozen human to the test instead!

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In Quantum Physics, Even Humans Act As Waves - Forbes

Did physicists create a wormhole in a quantum computer? – Nature.com

  1. Did physicists create a wormhole in a quantum computer?  Nature.com
  2. Wormhole study may unite quantum physics, general relativity  Space.com
  3. Quantum physics: A holographic wormhole in a quantum computer | Nature  Nature Middle East
  4. Physicists Say They Made a Mini-Wormhole in the Quantum Realm  Gizmodo
  5. First simulation of a wormhole opens new door to understanding the universe  EL PAS USA
  6. View Full Coverage on Google News

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Did physicists create a wormhole in a quantum computer? - Nature.com

Observer effect (physics) – Wikipedia

Fact that observing a situation changes it

In physics, the observer effect is the disturbance of an observed system by the act of observation.[1][2] This is often the result of instruments that, by necessity, alter the state of what they measure in some manner. A common example is checking the pressure in an automobile tire; this is difficult to do without letting out some of the air, thus changing the pressure. Similarly, seeing non-luminous objects requires light hitting the object, and causing it to reflect that light. While the effects of observation are often negligible, the object still experiences a change. This effect can be found in many domains of physics, but can usually be reduced to insignificance by using different instruments or observation techniques.

A notable example of the observer effect occurs in quantum mechanics, as demonstrated by the double-slit experiment. Physicists have found that observation of quantum phenomena can change the measured results of this experiment. Despite the "observer effect" in the double-slit experiment being caused by the presence of an electronic detector, the experiment's results have been misinterpreted by some to suggest that a conscious mind can directly affect reality.[3] The need for the "observer" to be conscious is not supported by scientific research, and has been pointed out as a misconception rooted in a poor understanding of the quantum wave function and the quantum measurement process.[4][5][6]

An electron is detected upon interaction with a photon; this interaction will inevitably alter the velocity and momentum of that electron. It is possible for other, less direct means of measurement to affect the electron. It is also necessary to distinguish clearly between the measured value of a quantity and the value resulting from the measurement process. In particular, a measurement of momentum is non-repeatable in short intervals of time. A formula (one-dimensional for simplicity) relating involved quantities, due to Niels Bohr (1928) is given by

The measured momentum of the electron is then related to vx, whereas its momentum after the measurement is related to vx. This is a best-case scenario.[7]

In electronics, ammeters and voltmeters are usually wired in series or parallel to the circuit, and so by their very presence affect the current or the voltage they are measuring by way of presenting an additional real or complex load to the circuit, thus changing the transfer function and behavior of the circuit itself. Even a more passive device such as a current clamp, which measures the wire current without coming into physical contact with the wire, affects the current through the circuit being measured because the inductance is mutual.

In thermodynamics, a standard mercury-in-glass thermometer must absorb or give up some thermal energy to record a temperature, and therefore changes the temperature of the body which it is measuring.

The theoretical foundation of the concept of measurement in quantum mechanics is a contentious issue deeply connected to the many interpretations of quantum mechanics. A key focus point is that of wave function collapse, for which several popular interpretations assert that measurement causes a discontinuous change into an eigenstate of the operator associated with the quantity that was measured, a change which is not time-reversible.

More explicitly, the superposition principle ( = nann) of quantum physics dictates that for a wave function , a measurement will result in a state of the quantum system of one of the m possible eigenvalues fn , n = 1, 2, ..., m, of the operator F which in the space of the eigenfunctions n , n = 1, 2, ..., m.

Once one has measured the system, one knows its current state; and this prevents it from being in one of its other statesit has apparently decohered from them without prospects of future strong quantum interference.[8][9][10] This means that the type of measurement one performs on the system affects the end-state of the system.

An experimentally studied situation related to this is the quantum Zeno effect, in which a quantum state would decay if left alone, but does not decay because of its continuous observation. The dynamics of a quantum system under continuous observation are described by a quantum stochastic master equation known as the Belavkin equation.[11][12][13] Further studies have shown that even observing the results after the photon is produced leads to collapsing the wave function and loading a back-history as shown by delayed choice quantum eraser.[14]

When discussing the wave function which describes the state of a system in quantum mechanics, one should be cautious of a common misconception that assumes that the wave function amounts to the same thing as the physical object it describes. This flawed concept must then require existence of an external mechanism, such as a measuring instrument, that lies outside the principles governing the time evolution of the wave function , in order to account for the so-called "collapse of the wave function" after a measurement has been performed. But the wave function is not a physical object like, for example, an atom, which has an observable mass, charge and spin, as well as internal degrees of freedom. Instead, is an abstract mathematical function that contains all the statistical information that an observer can obtain from measurements of a given system. In this case, there is no real mystery in that this mathematical form of the wave function must change abruptly after a measurement has been performed.

A consequence of Bell's theorem is that measurement on one of two entangled particles can appear to have a nonlocal effect on the other particle. Additional problems related to decoherence arise when the observer is modeled as a quantum system, as well.

The uncertainty principle has been frequently confused with the observer effect, evidently even by its originator, Werner Heisenberg.[15] The uncertainty principle in its standard form describes how precisely we may measure the position and momentum of a particle at the same time if we increase the precision in measuring one quantity, we are forced to lose precision in measuring the other.[16]An alternative version of the uncertainty principle,[17] more in the spirit of an observer effect,[18] fully accounts for the disturbance the observer has on a system and the error incurred, although this is not how the term "uncertainty principle" is most commonly used in practice.

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Observer effect (physics) - Wikipedia

Quantum mechanics – Simple English Wikipedia, the free encyclopedia

Quantum mechanics explains how the universe works at a scale smaller than atoms. It is also called quantum physics or quantum theory. Mechanics is the part of physics that explains how things move and quantum is the Latin word for 'how much'. A quantum of energy is the least amount possible (or the least extra amount), and quantum mechanics describes how that energy moves or interacts.

Atoms were long considered the smallest pieces of matter, but modern science has shown that there are even smaller subatomic particles, like protons, neutrons and electrons. Quantum mechanics describes how the particles that make up atoms work.

Quantum mechanics also tells us how electromagnetic waves (like light) work. Waveparticle duality means that particles behave like waves and waves behave like particles. (They are not two kinds of thing, they are something like both: this is their duality.) Much of modern physics and chemistry can be described and understood using the mathematical rules of quantum mechanics.

The mathematics used to study subatomic particles and electromagnetic waves is very complex because they act in very strange ways.

Photons are particles that are point-sized, tinier than atoms. Photons are like "packets" or packages of energy. Light sources such as candles or lasers produce light in bits called photons.

The more photons a lamp produces, the brighter the light. Light is a form of energy that behaves like the waves in water or radio waves. The distance between the top of one wave and the top of the next wave is called a 'wavelength'. Each photon carries a certain amount, or 'quantum', of energy depending on its wavelength.

A light's color depends on its wavelength. The color violet (the bottom or innermost color of the rainbow) has a wavelength of about 400nm ("nanometers") which is 0.00004 centimeters or 0.000016 inches. Photons with wavelengths of 10-400nm are called ultraviolet (or UV) light. Such light cannot be seen by the human eye. On the other end of the spectrum, red light is about 700nm. Infrared light is about 700nm to 300,000nm. Human eyes are not sensitive to infrared light either.

Wavelengths are not always so small. Radio waves have longer wavelengths. The wavelengths for an FM radio can be several meters in length (for example, stations transmitting on 99.5 FM are emitting radio energy with a wavelength of about 3 meters, which is about 10 feet). Each photon has a certain amount of energy related to its wavelength. The shorter the wavelength of a photon, the greater its energy. For example, an ultraviolet photon has more energy than an infrared photon.

Wavelength and frequency (the number of times the wave crests per second) are inversely proportional, which means a longer wavelength will have a lower frequency, and vice versa. If the color of the light is infrared (lower in frequency than red light), each photon can heat up what it hits. So, if a strong infrared lamp (a heat lamp) is pointed at a person, that person will feel warm, or even hot, because of the energy stored in the many photons. The surface of the infrared lamp may even get hot enough to burn someone who may touch it.Humans cannot see infrared light, but we can feel the radiation in the form of heat. For example, a person walking by a brick building that has been heated by the sun will feel heat from the building without having to touch it.

The mathematical equations of quantum mechanics are abstract, which means it is impossible to know the exact physical properties of a particle (like its position or momentum) for sure. Instead, a mathematical function called the wavefunction provides information about the probability with which a particle has a given property. For example, the wavefunction can tell you what the probability is that a particle can be found in a certain location, but it can't tell you where it is for sure. Because of this uncertainty and other factors, you cannot use classical mechanics (the physics that describe how large objects move) to predict the motion of quantum particles.

Ultraviolet light is higher in frequency than violet light, such that it is not even in the visible light range. Each photon in the ultraviolet range has a lot of energy, enough to hurt skin cells and cause a sunburn. In fact, most forms of sunburn are not caused by heat; they are caused by the high energy of the sun's UV rays damaging your skin cells. Even higher frequencies of light (or electromagnetic radiation) can penetrate deeper into the body and cause even more damage. X-rays have so much energy that they can go deep into the human body and kill cells. Humans cannot see or feel ultraviolet light or x-rays. They may only know they have been under such high frequency light when they get a radiation burn. Areas where it is important to kill germs often use ultraviolet lamps to destroy bacteria, fungi, etc. X-rays are sometimes used to kill cancer cells.

Quantum mechanics started when it was discovered that if a particle has a certain frequency, it must also have a certain amount of energy. Energy is proportional to frequency (Ef). The higher the frequency, the more energy a photon has, and the more damage it can do. Quantum mechanics later grew to explain the internal structure of atoms. Quantum mechanics also explains the way that a photon can interfere with itself, and many other things never imagined in classical physics.

Max Planck discovered the relationship between frequency and energy. Nobody before had ever guessed that frequency is directly proportional to energy (this means that as one of them doubles, the other does, too). Under what are called natural units, then the number representing the frequency of a photon would also represent its energy. The equation would then be:

meaning energy equals frequency.

But the way physics grew, there was no natural connection between the units that were used to measure energy and the units commonly used to measure time (and therefore frequency). So the formula that Planck worked out to make the numbers all come out right was:

or, energy equals h times frequency. This h is a number called Planck's constant after its discoverer.

Quantum mechanics is based on the knowledge that a photon of a certain frequency means a photon of a certain amount of energy. Besides that relationship, a specific kind of atom can only give off certain frequencies of radiation, so it can also only give off photons that have certain amounts of energy.

Isaac Newton thought that light was made of very small things that we would now call particles (he referred to them as "Corpuscles"). Christiaan Huygens thought that light was made of waves. Scientists thought that a thing cannot be a particle and a wave at the same time.

Scientists did experiments to find out whether light was made of particles or waves. They found out that both ideas were right light was somehow both waves and particles. The Double-slit experiment performed by Thomas Young showed that light must act like a wave. The Photoelectric effect discovered by Albert Einstein proved that light had to act like particles that carried specific amounts of energy, and that the energies were linked to their frequencies. This experimental result is called the "wave-particle duality" in quantum mechanics. Later, physicists found out that everything behaves both like a wave and like a particle, not just light. However, this effect is much smaller in large objects.

Here are some of the people who discovered the basic parts of quantum mechanics: Max Planck, Albert Einstein, Satyendra Nath Bose, Niels Bohr, Louis de Broglie, Max Born, Paul Dirac, Werner Heisenberg, Wolfgang Pauli, Erwin Schrdinger, John von Neumann, and Richard Feynman. They did their work in the first half of the 20th century.

Quantum mechanics formulae and ideas were made to explain the light that comes from glowing hydrogen. The quantum theory of the atom also had to explain why the electron stays in its orbit, which other ideas were not able to explain. It followed from the older ideas that the electron would have to fall in to the center of the atom because it starts out being kept in orbit by its own energy, but it would quickly lose its energy as it revolves in its orbit. (This is because electrons and other charged particles were known to emit light and lose energy when they changed speed or turned.)

Hydrogen lamps work like neon lamps, but neon lamps have their own unique group of colors (and frequencies) of light. Scientists learned that they could identify all elements by the light colors they produce. They just could not figure out how the frequencies were determined.

Then, a Swiss mathematician named Johann Balmer figured out an equation that told what (lambda, for wave length) would be:

where B is a number that Balmer determined to be equal to 364.56nm.

This equation only worked for the visible light from a hydrogen lamp. But later, the equation was made more general:

where R is the Rydberg constant, equal to 0.0110nm1, and n must be greater than m.

Putting in different numbers for m and n, it is easy to predict frequencies for many types of light (ultraviolet, visible, and infared). To see how this works, go to Hyperphysics and go down past the middle of the page. (Use H = 1 for hydrogen.)

In 1908, Walter Ritz made the Ritz combination principle that shows how certain gaps between frequencies keep repeating themselves. This turned out to be important to Werner Heisenberg several years later.

In 1905, Albert Einstein used Planck's idea to show that a beam of light is made up of a stream of particles called photons. The energy of each photon depends on its frequency. Einstein's idea is the beginning of the idea in quantum mechanics that all subatomic particles like electrons, protons, neutrons, and others are both waves and particles at the same time. (See picture of atom with the electron as waves at atom.) This led to a theory about subatomic particles and electromagnetic waves called wave-particle duality. This is where particles and waves were neither one nor the other, but had certain properties of both.

In 1913, Niels Bohr came up with the idea that electrons could only take up certain orbits around the nucleus of an atom. Under Bohr's theory, the numbers called m and n in the equation above could represent orbits. Bohr's theory said electrons could begin in some orbit m and end up in some orbit n, or an electron could begin in some orbit n and end up in some orbit m so if a photon hits an electron, its energy will be absorbed, and the electron will move to a higher orbit because of that extra energy. Under Bohr's theory, if an electron falls from a higher orbit to a lower orbit, then it will have to give up energy in the form of a photon. The energy of the photon will equal the energy difference between the two orbits, and the energy of a photon makes it have a certain frequency and color. Bohr's theory provided a good explanation of many aspects of subatomic phenomena, but failed to answer why each of the colors of light produced by glowing hydrogen (and by glowing neon or any other element) has a brightness of its own, and the brightness differences are always the same for each element.

By the time Niels Bohr came out with his theory, most things about the light produced by a hydrogen lamp were known, but scientists still could not explain the brightness of each of the lines produced by glowing hydrogen.

Werner Heisenberg took on the job of explaining the brightness or "intensity" of each line. He could not use any simple rule like the one Balmer had come up with. He had to use the very difficult math of classical physics that figures everything out in terms of things like the mass (weight) of an electron, the charge (static electric strength) of an electron, and other tiny quantities. Classical physics already had answers for the brightness of the bands of color that a hydrogen lamp produces, but the classical theory said that there should be a continuous rainbow, and not four separate color bands. Heisenberg's explanation is:

There is some law that says what frequencies of light glowing hydrogen will produce. It has to predict spaced-out frequencies when the electrons involved are moving between orbits close to the nucleus (center) of the atom, but it also has to predict that the frequencies will get closer and closer together as we look at what the electron does in moving between orbits farther and farther out. It will also predict that the intensity differences between frequencies get closer and closer together as we go out. Where classical physics already gives the right answers by one set of equations the new physics has to give the same answers but by different equations.

Classical physics uses the mathematical methods of Joseph Fourier to make a math picture of the physical world, It uses collections of smooth curves that go together to make one smooth curve that gives, in this case, intensities for light of all frequencies from some light. But it is not right because that smooth curve only appears at higher frequencies. At lower frequencies, there are always isolated points and nothing connects the dots. So, to make a map of the real world, Heisenberg had to make a big change. He had to do something to pick out only the numbers that would match what was seen in nature. Sometimes people say he "guessed" these equations, but he was not making blind guesses. He found what he needed. The numbers that he calculated would put dots on a graph, but there would be no line drawn between the dots. And making one "graph" just of dots for every set of calculations would have wasted lots of paper and not have gotten anything done. Heisenberg found a way to efficiently predict the intensities for different frequencies and to organize that information in a helpful way.

Just using the empirical rule given above, the one that Balmer got started and Rydberg improved, we can see how to get one set of numbers that would help Heisenberg get the kind of picture that he wanted:

The rule says that when the electron moves from one orbit to another it either gains or loses energy, depending on whether it is getting farther from the center or nearer to it. So we can put these orbits or energy levels in as headings along the top and the side of a grid. For historical reasons the lowest orbit is called n, and the next orbit out is called n - a, then comes n - b, and so forth. It is confusing that they used negative numbers when the electrons were actually gaining energy, but that is just the way it is.

Since the Rydberg rule gives us frequencies, we can use that rule to put in numbers depending on where the electron goes. If the electron starts at n and ends up at n, then it has not really gone anywhere, so it did not gain energy and it did not lose energy. So the frequency is 0. If the electron starts at n-a and ends up at n, then it has fallen from a higher orbit to a lower orbit. If it does so then it loses energy, and the energy it loses shows up as a photon. The photon has a certain amount of energy, e, and that is related to a certain frequency f by the equation e = h f. So we know that a certain change of orbit is going to produce a certain frequency of light, f. If the electron starts at n and ends up at n - a, that means it has gone from a lower orbit to a higher orbit. That only happens when a photon of a certain frequency and energy comes in from the outside, is absorbed by the electron and gives it its energy, and that is what makes the electron go out to a higher orbit. So, to keep everything making sense, we write that frequency as a negative number. There was a photon with a certain frequency and now it has been taken away.

So we can make a grid like this, where f(ab) means the frequency involved when an electron goes from energy state (orbit) b to energy state a (Again, sequences look backwards, but that is the way they were originally written.):

Grid of f

Heisenberg did not make the grids like this. He just did the math that would let him get the intensities he was looking for. But to do that he had to multiply two amplitudes (how high a wave measures) to work out the intensity. (In classical physics, intensity equals amplitude squared.) He made an odd-looking equation to handle this problem, wrote out the rest of his paper, handed it to his boss, and went on vacation. Dr. Born looked at his funny equation and it seemed a little crazy. He must have wondered, "Why did Heisenberg give me this strange thing? Why does he have to do it this way?" Then he realized that he was looking at a blueprint for something he already knew very well. He was used to calling the grid or table that we could write by doing, for instance, all the math for frequencies, a matrix. And Heisenberg's weird equation was a rule for multiplying two of them together. Max Born was a very, very good mathematician. He knew that since the two matrices (grids) being multiplied represented different things (like position (x,y,z) and momentum (mv), for instance), then when you multiply the first matrix by the second you get one answer and when you multiply the second matrix by the first matrix you get another answer. Even though he did not know about matrix math, Heisenberg already saw this "different answers" problem and it had bothered him. But Dr. Born was such a good mathematician that he saw that the difference between the first matrix multiplication and the second matrix multiplication was always going to involve Planck's constant, h, multiplied by the square root of negative one, i. So within a few days of Heisenberg's discovery they already had the basic math for what Heisenberg liked to call the "indeterminacy principle." By "indeterminate" Heisenberg meant that something like an electron is just not pinned down until it gets pinned down. It is a little like a jellyfish that is always squishing around and cannot be "in one place" unless you kill it. Later, people got in the habit of calling it "Heisenberg's uncertainty principle," which made many people make the mistake of thinking that electrons and things like that are really "somewhere" but we are just uncertain about it in our own minds. That idea is wrong. It is not what Heisenberg was talking about. Having trouble measuring something is a problem, but it is not the problem Heisenberg was talking about.

Heisenberg's idea is very hard to grasp, but we can make it clearer with an example. First, we will start calling these grids "matrices," because we will soon need to talk about matrix multiplication.

Suppose that we start with two kinds of measurements, position (q) and momentum (p). In 1925, Heisenberg wrote an equation like this one:

He did not know it, but this equation gives a blueprint for writing out two matrices (grids) and for multiplying them. The rules for multiplying one matrix by another are a little messy, but here are the two matrices according to the blueprint, and then their product:

Matrix of p

Matrix of q

The matrix for the product of the above two matrices as specified by the relevant equation in Heisenberg's 1925 paper is:

Where:

A=p(nn-a)*q(n-an-b)+p(nn-b)*q(n-bn-b)+p(nn-c)*q(n-cn-b)+.....

B=p(n-an-a)*q(n-an-c)+p(n-an-b)*q(n-bn-c)+p(n-an-c)*q(n-cn-c)+.....

C=p(n-bn-a)*q(n-an-d)+p(n-bn-b)*q(n-bn-d)+p(n-bn-c)*q(n-dn-d)+.....

and so forth.

If the matrices were reversed, the following values would result:

A=q(nn-a)*p(n-an-b)+q(nn-b)*p(n-bn-b)+q(nn-c)*p(n-cn-b)+.....B=q(n-an-a)*p(n-an-c)+q(n-an-b)*p(n-bn-c)+q(n-an-c)*p(n-cn-c)+.....C=q(n-bn-a)*p(n-an-d)+q(n-bn-b)*p(n-bn-d)+q(n-bn-c)*p(n-dn-d)+.....

and so forth.

Note how changing the order of multiplication changes the numbers, step by step, that are actually multiplied.

The work of Werner Heisenberg seemed to break a log jam. Very soon, many different other ways of explaining things came from people such as Louis de Broglie, Max Born, Paul Dirac, Wolfgang Pauli, and Erwin Schrdinger. The work of each of these physicists is its own story. The math used by Heisenberg and earlier people is not very hard to understand, but the equations quickly grew very complicated as physicists looked more deeply into the atomic world.

In the early days of quantum mechanics, Albert Einstein suggested that if it were right then quantum mechanics would mean that there would be "spooky action at a distance." It turned out that quantum mechanics was right, and that what Einstein had used as a reason to reject quantum mechanics actually happened. This kind of "spooky connection" between certain quantum events is now called "quantum entanglement".

When an experiment brings two things (photons, electrons, etc.) together, they must then share a common description in quantum mechanics. When they are later separated, they keep the same quantum mechanical description or "state." In the diagram, one characteristic (e.g., "up" spin) is drawn in red, and its mate (e.g., "down" spin) is drawn in blue. The purple band means that when, e.g., two electrons are put together the pair shares both characteristics. So both electrons could show either up spin or down spin. When they are later separated, one remaining on Earth and one going to some planet of the star Alpha Centauri, they still each have both spins. In other words, each one of them can "decide" to show itself as a spin-up electron or a spin-down electron. But if later on someone measures the other one, it must "decide" to show itself as having the opposite spin.

Einstein argued that over such a great distance it was crazy to think that forcing one electron to show its spin would then somehow make the other electron show an opposite characteristic. He said that the two electrons must have been spin-up or spin-down all along, but that quantum mechanics could not predict which characteristic each electron had. Being unable to predict, only being able to look at one of them with the right experiment, meant that quantum mechanics could not account for something important. Therefore, Einstein said, quantum mechanics had a big hole in it. Quantum mechanics was incomplete.

Later, it turned out that experiments showed that it was Einstein who was wrong.[1]

In 1925, Werner Heisenberg described the Uncertainty principle, which says that the more we know about where a particle is, the less we can know about how fast it is going and in which direction. In other words, the more we know about the speed and direction of something small, the less we can know about its position. Physicists usually talk about the momentum in such discussions instead of talking about speed. Momentum is just the speed of something in a certain direction times its mass.

The reason behind Heisenberg's uncertainty principle says that we can never know both the location and the momentum of a particle. Because light is an abundant particle, it is used for measuring other particles. The only way to measure it is to bounce the light wave off of the particle and record the results. If a high energy, or high frequency, light beam is used, we can tell precisely where it is, but cannot tell how fast it was going. This is because the high energy photon transfers energy to the particle and changes the particle's speed. If we use a low energy photon, we can tell how fast it is going, but not where it is. This is because we are using light with a longer wavelength. The longer wavelength means the particle could be anywhere along the stretch of the wave.

The principle also says that there are many pairs of measurements for which we cannot know both of them about any particle (a very small thing), no matter how hard we try. The more we learn about one of such a pair, the less we can know about the other.

Even Albert Einstein had trouble accepting such a bizarre concept, and in a well-known debate said, "God does not play dice".To this, Danish physicist Niels Bohr famously responded, "Einstein, don't tell God what to do".

Electrons surround every atom's nucleus. Chemical bonds link atoms to form molecules. A chemical bond links two atoms when electrons are shared between those atoms. Thus quantum mechanics is the physics of the chemical bond and of chemistry. Quantum mechanics helps us understand how molecules are made, and what their properties are.[2]

Quantum mechanics can also help us understand big things, such as stars and even the whole universe. Quantum mechanics is a very important part of the theory of how the universe began called the Big Bang.

Everything made of matter is attracted to other matter because of a fundamental force called gravity. Einstein's theory that explains gravity is called the theory of general relativity. A problem in modern physics is that some conclusions of quantum mechanics do not seem to agree with the theory of general relativity.

Quantum mechanics is the part of physics that can explain why all electronic technology works as it does. Thus quantum mechanics explains how computers work, because computers are electronic machines. But the designers of the early computer hardware of around 1950 or 1960 did not need to think about quantum mechanics. The designers of radios and televisions at that time did not think about quantum mechanics either. However, the design of the more powerful integrated circuits and computer memory technologies of recent years does require quantum mechanics.

Quantum mechanics has also made possible technologies such as:

Quantum mechanics is a challenging subject for several reasons:

Quantum mechanics describes nature in a way that is different from how we usually think about science. It tells us how likely to happen some things are, rather than telling us that they certainly will happen.

One example is Young's double-slit experiment. If we shoot single photons (single units of light) from a laser at a sheet of photographic film, we will see a single spot of light on the developed film. If we put a sheet of metal in between, and make two very narrow slits in the sheet, when we fire many photons at the metal sheet, and they have to go through the slits, then we will see something remarkable. All the way across the sheet of developed film we will see a series of bright and dark bands. We can use mathematics to tell exactly where the bright bands will be and how bright the light was that made them, that is, we can tell ahead of time how many photons will fall on each band. But if we slow the process down and see where each photon lands on the screen we can never tell ahead of time where the next one will show up. We can know for sure that it is most likely that a photon will hit the center bright band, and that it gets less and less likely that a photon will show up at bands farther and farther from the center. So we know for sure that the bands will be brightest at the center and get dimmer and dimmer farther away. But we never know for sure which photon will go into which band.

One of the strange conclusions of quantum mechanics theory is the "Schrdinger's cat" effect. Certain properties of a particle, such as their position, speed of motion, direction of motion, and "spin", cannot be talked about until something measures them (a photon bouncing off of an electron would count as a measurement of its position, for example). Before the measurement, the particle is in a "superposition of states," in which its properties have many values at the same time. Schrdinger said that quantum mechanics seemed to say that if something (such as the life or death of a cat) was determined by a quantum event, then its state would be determined by the state that resulted from the quantum event, but only at the time that somebody looked at the state of the quantum event. In the time before the state of the quantum event is looked at, perhaps "the living and dead cat (pardonthe expression) [are] mixed or smeared out in equal parts."[3]

People often use the symbol {displaystyle hbar } , which is called "h-bar." = h 2 {displaystyle hbar ={frac {h}{2pi }}} . H-bar is a unit of angular momentum. When this new unit is used to describe the orbits of electrons in atoms, the angular momentum of any electron in orbit is always a whole number.[4]

The particle in a 1-dimensional well is the most simple example showing that the energy of a particle can only have specific values. The energy is said to be "quantized."The well has zero potential energy inside a range and has infinite potential energy everywhere outside that range. For the 1-dimensional case in the x {displaystyle x} direction, the time-independent Schrdinger equation can be written as:[5]

Using differential equations, we can figure out that {displaystyle psi } can be written as

or as

The walls of the box mean that the wavefunction must have a special form. The wavefunction of the particle must be zero anytime the walls are infinitely tall. At each wall:

Consider x = 0

Now consider: = C sin k x {displaystyle psi =Csin kx;}

We can see that n {displaystyle n} must be an integer. This means that the particle can only have special energy values and cannot have the energy values in between. This is an example of energy "quantization."

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Quantum mechanics - Simple English Wikipedia, the free encyclopedia

Bay Area physicist and quantum physics pioneer wins Nobel Prize

Subatomic particles can be linked to each other even if separated by billions of light-years of space.

But this strange and spooky phenomenon hadnt been proven until Walnut Creek-based physicist John Clauser performed a pioneering experiment at UC-Berkeley in 1972 an accomplishment that on Tuesday was honored with the Nobel Prize in Physics.

Clauser, 79, shares the $900,000 prize with two fellow physicists who followed in his footsteps: Alain Aspect of Universit Paris-Saclay and cole Polytechnique in France, and Anton Zeilinger, of the University of Vienna in Austria.

This discovery, now a core concept of quantum mechanics, could revolutionize computing, cryptography and the transfer of information via what is known as quantum teleportation, according to the Nobel committee.

Working independently, the three scientists conducted experiments that demonstrated quantum entanglement, an odd phenomenon in which one particle can instantaneously influence the behavior of other particles even if they are far away, such as at opposite sides of the universe.

Clausers work measured the behavior of pairs of tiny photons, which were entangled, or acting in concert. It showed, in essence, that nature is capable of sending signals faster than the speed of light.

This phenomenon, the foundation of todays quantum computers and other modern quantum technologies, is so weird that physicist Albert Einstein called it spooky action at a distance.

Today we honor three physicists whose pioneering experiments showed us that the strange quantum world of entanglement is not just the microworld of atoms, and certainly not a virtual world of mysticism or science fiction, but the real world we live in, said Thors Hans Hansson of the Nobel Committee for Physics during a news conference in Stockholm.

Clauser, now retired, spends his days racing his 40-foot yacht Bodacious in San Francisco Bay, the greatest place in the world for sailing.

In an interview Tuesday, he told the Bay Area News Grouphe was thrilled by the 3 a.m. news from Stockholm and the tsunami of congratulatory calls. It took me over an hour to get my pants on, he joked.

Clauser, born a year after Pearl Harbor in 1942, grew up in the suburbs of Baltimore where his father had been hired to create Johns Hopkins Universitys aeronautics department.

He credits his father with his love of electronic tinkering, an essential skill for future experimental discoveries.

After school, when he was supposed to be doing homework, mostly what I would do is just sort of wander around the lab and gawk at all of the nifty laboratory equipment, he said in an oral history recorded by the American Physics Institute.

My dad was absolutely a marvelous teacher, my whole formative years, he recalled. Every time I asked a question, he knew the answer and would answer it in gory detail so that I would understand it. I mean, he didnt force feed me, but he did it in such a way that I continuously hungered for more.

Clauser first came to California in the early 1960s to study physics at the California Institute of Technology, then earned his PhD at Columbia University.

The study of Advanced Quantum Mechanics a field he would later revolutionize initially daunted him. He didnt understand its mathematical manipulations, and repeated the class three times before earning the requisite B grade.

I just didnt really believe it all. I was convinced that there were things that were wrong, he said. My Dad had always taught me, Son, look at the data. People will have lots of fancy theories, but always go back to the original data and see if you come to the same conclusions. Whenever I do that, I come up with very different conclusions.

That skepticism paved the way for his future Nobel. While working at UC Berkeley, he stumbled upon a fascinating theory by Northern Irish physicist John Stewart Bell, which explored what entanglements spooky action said about photons behavior and the fundamental nature of reality.

But wheres the experimental evidence? Clauser wondered. He knew Bells theorem could be tested.

He told PBSs Nova how he rummaged around the hidden storage rooms of Lawrence Berkeley National Laboratory, scavenging for old equipment to design the experiments he needed.

There are two kinds of people, really. Those who kind of like to use old junk and/or build it themselves from scratch. And those who go out and buy shiny new boxes, he said. Ive gotten pretty good at dumpster diving.

He faced criticism from many fellow physicists. Everybody told me I was crazy, and I was going ruin my career by wasting his time on such a philosophical question, he recalled.

In an experiment in the sub-basement of UC Berkeleys Birge Hall, conducted alongside the late fundamental physicist Stuart Freedman, he measured quantum entanglement by firing thousands of photons in opposite directions. They showed that the photons could act in concert despite being physically separated.

The experimentwas so novel that it was completely underappreciated at the time, said Berkeley Lab Director Mike Witherell. It was 10 years before physicists started to realize how quantum entanglement could be exploited. That was when the next decisive experiments were done, leading to the new quantum era we are now experiencing.

Unable to find a job as a professor, Clauser moved to Lawrence Livermore National Laboratory to do controlled fusion plasma physics experiments but later left because he refused to do classified work.

His insights are now the scientific underpinning for todays efforts to develop quantum cryptography, a method of encryption that uses the properties of quantum mechanics to secure and transmit data in a way that cannot be hacked.

Such powerful commercial applications were inconceivable at the time, he said.

I was totally unaware of how much money and interest there was in cryptography, he said. Heck, most of my computers didnt even require passwords. The only reason I have them on now is because we have all of the ones in the house all networked, and you cant put it on a network without putting passwords on them.

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Bay Area physicist and quantum physics pioneer wins Nobel Prize