This advanced textbook differs from other books on electrodynamics as many fundamental, traditional and new branches of science are being analyzed on the basis of both classical and quantum approaches. The joint statement of classical and quantum electrodynamics allows the reader to get a more organic, adequate, and multidimensional picture of the physical phenomena.
The book, oriented towards 3rd 4th year bachelor, Master, and PhD students, introduces the material at different levels, and describes 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 scientifi c and engineering problems. To this aim, the book contains approximately 800 examples and problems.
The Mathematical Methods of Electrodynamics
Basic Concepts of Electrodynamics: The Maxwell Equations
The Special Theory of Relativity and Relativistic Kinematics
Fundamentals of Relativistic Mechanics and Field Theory
Emission and Scattering of Electromagnetic Waves
Quantum Theory of Radiation Processes. Photon Emission and Scattering
Fundamentals of Quantum Theory of the Electron Positron Field
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