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The book Fundamentals of analysis in physics is targeting undergraduate students, who are going to learn the fundamentals of physics. Many beginners feel that it is difficult to learn each field of physics (classical mechanics, electromagnetism, quantum mechanics, relativistic quantum mechanics, and statistic mechanics) in detail separately. It would be preferable to learn the whole fields as quick as possible and have a simple imagination about the relation between different fields. After learning the position of each field in the physics, it becomes easier to learn detailed parts of each field. In this book, the important points of all fields of physics are summarized with short and simple expressions as follows.

In chapter 3, the principle of rf-ion trap is described without using the Mathieu-equation. In chapter 4, the fundamentals of electric induced transparency (EIT) and adiabatic rapid passage are explained with simple expressions.

About the Editor:

Dr. Masatoshi Kajita was born and raised in Nagoya, Japan. He graduated from the Department of Applied Physics, the University of Tokyo, in 1981 and obtained his Ph. D. from Department of Physics, the University of Tokyo, in 1986. After working at the Institute for Molecular Science, he joined Communications Research Laboratory (CRL) in 1989. In 2004, the CRL was renamed the National Institute of Information and Communications Technology (NICT). At NICT, he has been focused to the precision measurement of atomic transition frequencies. Since 2008, he has been interested with the precision measurement of vibrational transition frequencies of molecules. In 2009, he was a guest professor at the Provence University, Marseille, France. Until 2021, he has published 91 research articles and following three books: Measuring Time; Frequency measurements and related developments in physics (2018, IOP Expanding physics), Measurement, Uncertainty and Lasers (2019, IOP Expanding Physics), and Cold Atoms and Molecules (2021, IOP Expanding Physics).

Keywords:

Physical mathematics, Quantum mechanics, Numerical calculation, Schrodinger equation, Classical physics, Energy structure of atoms and molecules, Two body system, Electron spin , Lagrange equation, Dirac equation

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Rudiments of analysis in physics - EurekAlert