This advanced textbook covers many fundamental, traditional and new branches of electrodynamics, as well as the related fields of special relativity, quantum mechanics and quantum electrodynamics. The book introduces the material at different levels, oriented towards 3rd-4th year bachelor, master, and PhD students. This is so as to describe the whole complexity of physical phenomena, instead of a mosaic of disconnected data. The required mathematical background is collated in Chapter 1, while the necessary physical background is included in the main text of the corresponding chapters and also given in appendices. The content is based on teaching material tested on students over many years, and their training to apply general theory for solving scientific and engineering problems. To this aim, the book contains approximately 800 examples and problems, many of which are described in detail. Some of these problems are designed for students to work on their own with only the answers and descriptions of results, and may be solved selectively. The examples are key ingredients to the theoretical course; the user should study all of them while reading the corresponding chapters.
Equally suitable as a reference for researchers specialized in science and engineering.
Igor N.Toptygin is Professor at the Theoretical Physics Department in Saint-Petersburg State Polytechnic University, Russia. He received his academic degrees in the field of physics and mathematics in 1964 (PhD) and 1974 (habilitation). He is an expert in theoretical physics and theoretical astrophysics. He is a member of the Scientific Council on Complex Problem of "Cosmic Rays" of the Russian Academy of Sciences, and a corresponding member of the International Academy of Sciences for High Education. He has been engaged for many years in theoretical studies of quantum paramagnetic amplifiers, acceleration of cosmic rays, radiation of relativistic particles in plasmas, etc.
Chapter 1. The Mathematical Methods of Electrodynamics Chapter 2. Basic Concepts of Electrodynamics: The Maxwell Equations Chapter 3. The Special Theory of Relativity and Relativistic Kinematics Chapter 4. Fundamentals of Relativistic Mechanics and Field Theory Chapter 5. Emission and Scattering of Electromagnetic Waves Chapter 6. Quantum Theory of Radiation Processes. Photon Emission and Scattering Chapter 7. Fundamentals of Quantum Theory of the Electron?Positron Field Appendix A Conversion of Electric and Magnetic Quantities between the International System of Units and the Gaussian System Appendix B Variation Principle for Continuous Systems Appendix C General Outline of Quantum Theory