Electromagnetism is one of the pillars of modern physics. Robert Wald provides graduate students with a clear, concise, and mathematically precise introduction to the subject, covering all the core topics while bringing the teaching of electromagnetism up to date with our modern understanding of the subject. Electromagnetism is usually taught in a quasi-historical fashion, starting from concepts formulated in the eighteenth and nineteenth centuries, but this tends to promote outdated ways of thinking about the theory. Wald begins with Maxwell鈥檚 equations鈥攖he foundation of electromagnetism鈥攖ogether with the formulas for the energy density, momentum density, and stress tensor of the electromagnetic field. He then proceeds through all the major topics in classical electromagnetism, such as electrostatics, dielectrics, magnetostatics, electrodynamics and radiation, diffraction, and special relativity. The last two chapters discuss electromagnetism as a gauge theory and the notion of a point charge鈥攖opics not normally treated in electromagnetism texts.
- Completely rethinks how to teach electromagnetism to first-year graduate students
- Presents electromagnetism from a modern, mathematically precise perspective, formulating key conceptual ideas and results clearly and concisely
- Written by a world-class physicist and proven in the classroom
- Covers all the subjects found in standard electromagnetism textbooks as well as additional topics such as the derivation of the initial value formulation for Maxwell鈥檚 equations
- Also ideal as a supplementary text or for self-study
Robert M. Wald is the Charles H. Swift Distinguished Service Professor in the Department of Physics and the Enrico Fermi Institute at the University of Chicago. His books include General Relativity, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics, and Space, Time, and Gravity: The Theory of the Big Bang and Black Holes.
- Preface
- CHAPTER 1 Introduction: Electromagnetic Theory without Myths
- 1.1 The Fundamental Electromagnetic Variables Are the Potentials, Not the Field Strengths
- 1.2 Electromagnetic Energy, Momentum, and Stress Are an Integral Part of the Theory
- 1.3 Electromagnetic Fields Should Not Be Viewed as Being Produced by Charged Matter
- 1.4 At a Fundamental Level, Classical Charged Matter Must Be Viewed as Continuous Rather Than Point-Like
- CHAPTER 2 Electrostatics
- 2.1 Uniqueness of Solutions in Electrostatics
- 2.2 Point Charges and Green鈥檚 Functions
- 2.3 Interaction Energy and Force
- 2.4 Multipole Expansion of the Green鈥檚 Function
- 2.5 Conducting Cavities; Dirichlet and Neumann Green鈥檚 Functions
- CHAPTER 3 Dielectrics
- 3.1 Macroscopic Description of Dielectrics
- 3.2 Force and Interaction Energy
- CHAPTER 4 Magnetostatics
- 4.1 The Equations of Magnetostatics
- 4.2 Multipole Expansion
- 4.3 Interaction Energy and Force
- 4.4 Magnetic Materials
- CHAPTER 5 Electrodynamics
- 5.1 The Equations of Electrodynamics
- 5.2 Retarded Green鈥檚 Function
- 5.3 Multipole Expansion
- 5.3.1 Cartesian Multipole Expansion of the Radiation Field for a Nonrelativistic Source
- 5.3.2 General Multipole Expansion for a Relativistic Source
- 5.4 The Initial Value Formulation for Maxwell鈥檚 Equations
- 5.5 Plane Waves
- 5.6 Conducting Cavities and Waveguides
- 5.6.1 Conducting Cavities
- 5.6.2 Waveguides
- Problems
- CHAPTER 6 Electrodynamics in Media
- 6.1 Linear, Homogeneous, Isotropic Medium with an Instantaneous Response
- 6.2 Linear, Homogeneous, Isotropic Medium with a Delayed Response
- 6.3 The Lorentz Model for 系(蝇)
- 6.3.1 Nonconducting Medium
- 6.3.2 Plasma or Conducting Medium
- 6.4 Magnetohydrodynamics
- CHAPTER 7 Geometric Optics, Interference, and Diffraction
- 7.1 Geometric Optics
- 7.2 Interference and Coherence
- 7.3 Diffraction
- 7.3.1 Scattering by a Dielectric Ball
- 7.3.2 Propagation of Waves through an Aperture
- Problems
- CHAPTER 8 Special Relativity
- 8.1 The Framework of Special Relativity
- 8.2 The Formulation of Electromagnetic Theory in the Framework of Special Relativity
- 8.3 Charged Particle Motion and Radiation
- 8.3.1 Charged Particle Motion
- 8.3.2 Radiation from a Point Charge in Arbitrary Motion
- Problems
- CHAPTER 9 Electromagnetism as a Gauge Theory
- 9.1 Lagrangian for the Electromagnetic Field and Its Interactions
- 9.2 Gauge Invariance and the Reinterpretation of the Electromagnetic Field as a Connection
- 9.3 Dirac Magnetic Monopoles
- CHAPTER 10 Point Charges and Self-Force
- 10.1 The Point Particle Limit
- 10.2 Lorentz Force
- 10.3 Corrections to Lorentz Force Motion
- 10.3.1 Self-force Corrections
- 10.3.2 Spin and Dipole Effects
- 10.4 Self-Consistent Motion
- Index
鈥淲ritten by one of the world鈥檚 leading physicists, this book clearly demonstrates that electromagnetism is part of the big picture of modern fundamental physics. Advanced Classical Electromagnetism can serve as the main textbook for graduate courses and is also ideal as a supplementary text for undergraduates.鈥濃擱enata Kallosh, Stanford University
鈥淎n excellent textbook on electromagnetism, written with Wald鈥檚 signature rigor and precision. Students will find Wald鈥檚 approach helpful and illuminating. There are many gems of wisdom throughout.鈥濃擫am Hui, Columbia University
鈥淲ald offers fresh perspectives on many subtle points in the general theory of electromagnetism.鈥濃擨lya Gruzberg, Ohio State University