Foundations of Classical and Quantum Electrodynamics

  • ID: 2516947
  • Book
  • Region: Global
  • 728 Pages
  • John Wiley and Sons Ltd
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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.

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Chapter 1. Mathematical technique of electrodynamics

1.1. Vector and tensor algebra

1.2. Vector and tensor analysis

1.3. Special functions of mathematical physics

1.4. Answers and solutions

Chapter 2. Main concepts of electromagnetic theory. Maxwell equations

2.1. Electrostatics

2.2. Magnetostatics

2.3. Maxwell equations. Electromagnetic waves

2.4. Answers and solutions

Chapter 3. Special theory of relativity and relativistic kinematics

3.1. Principle of relativity and Lorentz transformations

3.2. Kinematics of relativistic particles

3.3. Answers and solutions

Chapter 4. Variation principle in relativistic mechanics and field theory

4.1. Vectors and tensors in 4d space–time

4.2. Motion of charged particles in electromagnetic field. Transformation of electromagnetic field

4.3. Relativistic electrodynamics. Introduction in field theory

4.4. Answers and solutions

Chapter 5. Emission and scattering of electromagnetic waves

5.1. Green function and retarded potentials

5.2. Radiation from non–relativistic systems

5.3. Radiation of relativistic particles

5.4. Interaction of charged particles with radiation

5.5. Answers and solutions

Chapter 6. Quantum theory of photon emission and scattering

6.1. Quantum states of electromagnetic field

6.2. Quantum theory of emission, absorption and scattering of photons by atoms

6.3. Interaction of relativistic particles with photons

6.4. Answers and solutions

Conclusion/Summaries

Appendix 1. Systems of electric and magnetic quantities

Appendix 2. Variation principle for continuous media

Appendix 3. General scheme of quantum theory

References

Subject index

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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.

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