Front Cover
Title Page
Translation Editor’s Preface
Contents
PART I Phenomenological Electrodynamics
CHAPTER 1 Maxwell’s Equations as a Generalization of Experimental Fact
§1. The Electromagnetic Field. System of.Units
§2 Differential Form of Gauss* Theorem 9
§3 Ohm's Law and the Joule-Lenz Law
§4 Equation of Continuity
§5. Generalization of the Law of Total Current
§6. Differential Form of the Law of Electromagnetic Induction
§7. Maxwell’s Equation, div B = 0
§8 Energy of the Electromagnetic Field
§9. Boundary Conditions
PROBLEMS
CHAPTER 2 Electrostatics
§10. Possibility of Considering Electrical and Magnetic Problems Separately
§11. Electrostatic Field in a Homogeneous Medium
§12. Laplace's Equation and Poisson's Equation
§13. Conductors in an Electrostatic Field
§14. Dielectrics in an Electrostatic Field
§15. Energy of the Electrostatic Field and the Energy of the Interaction Between Charges
§16. Mechanical Energy in an Electrostatic Field
PROBLEMS
CHAPTER 3 Static Magnetic Field
§17. General Properties and Equations of the Magnetostatic Field
§18. Applied EMF's and the Generalized Ohm's and Joule-Lenz Laws
§19. Magnetostatic Field in a Homogeneous Medium. Biot-Savart Law
§20. Magnetic Substances in a Magnetic Field
§21. Energy of the Magnetic Field of Steady Currents
§22. Mechanical Forces in the Magnetostatic Field
PROBLEMS
CHAPTER 4 Quasi-Static Electromagnetic Fields
§23. Definitions and Equations
§24. System of Conductors, Taking Mutual Inductance and Self-Inductance into Account
§25. Electric Circuit with Capacitance and Inductance
§26. Induction of Currents in Moving Conductors
§27. Skin Effect
PROBLEMS
CHAPTER 5 Generation of Electromagnetic Waves
§28. General Equations
§29. Radiation of a Linear Oscillator
§30. Radiation of a Current Loop
§31. Directed Radiation
PROBLEMS
CHAPTER 6 Propagation of Electromagnetic Waves
§32. Propagation of Electromagnetic Waves in Dielectrics
§33. Propagation of Electromagnetic Waves in Conducting Media
§34. Refraction and Reflection of Plane Electromagnetic Waves at a Boundary Between Dielectrics
§35. Motion of Electromagnetic Waves along Transmission Lines
PROBLEMS
PART II ElectronTheory
CHAPTER 7 Interaction of Charges with the Electromagnetic Field
§36. Fundamental Equations of Electron Theory
§37. Motion of an Electron in an Electromagnetic Field
§38. Radiation of an Oscillating Electron. Radiation Damping
§39. Theory of the Spectral Line Width
§40. Scattering of Light by Free Electrons
§41. Momentum of an Electromagnetic Field. Pressure of Light
PROBLEMS
CHAPTER 8 Dielectrics
§42. Rarefied Gases
§43. Dense Gases, Liquids, and Solid Dielectrics
§44. Theory of Dispersion
PROBLEMS
CHAPTER 9 Magnetic Substances
§45. Motion of Electrons in Atoms in an External Magnetic Field
§46. Diamagnetic Substances
§47. Paramagnetic Substances
§48. Remarks on Ferromagnetism
§49. Gyromagnetic Effects
PROBLEMS
CHAPTER 10 Conductors
§50. Electrical Conductivity of Gases
§51. Electrical Conductivity of Liquids
§52. Electrical Conductivity of Metals
§53. Superconductivity
PROBLEMS
CHAPTER 11 IRelationship Between Phenomenological Electrodynamics and Electron Theory
§54. Averaging of Fields
§55. Averaging the Microscopic Current Density
§56. Averaging the Charge Density
PART III Theory of Relativity
CHAPTER 12 Postulate of the Constancy of the Velocity of Light
§57. The Velocity of Light
§58. Michelson’s Experiment
§59. The Ballistic Hypothesis
§60. Fizeau’s Experiment
§61. Postulate that the Velocity of Light Is Constant
CHAPTER 13 The Principle of Relativity
§62. Frames of Reference
§63. The Principle of Relativity in Classical Mechanics
§64. The Principle of Relativity in the Special Theory of Relativity
CHAPTER 14 The Lorentz Transformation and Its Kinematic Corollaries
§65. Derivation of the Lorentz Transformation
§66. Length of a Moving Body
§67. Rate of Moving Clocks. Proper Time
§68. Simultaneity
§69. Addition of Velocities
PROBLEMS
CHAPTER 15 Mathematical Apparatus of the Theory of Relativity
§70. Four-Dimensional Space
§71. Four-Dimensional Vectors
§72. Four-Dimensional Tensors
§73. Tensor Analysis
§74. Tensor Calculus as a Tool of the Theory of Relativity
CHAPTER 16 Relativistic Electrodynamics
§75. Four-Dimensional Potential and Four-Dimensional Current Density
§76. Tensor Form of Maxwell's Equations
§77. Electromagnetic Field Tensors
§78. Four-Dimensional Force Density
§79. Electromagnetic Field Energy Momentum Tensor
§80. Doppler Effect
§81. Plane Waves
§82. Field of an Arbitrarily Moving Electron
§83. Electrodynamics of Moving Media
PROBLEM
CHAPTER 17 Relativistic Mechanics
§84. Equations of Motion
§85. Dependence of Mass on Velocity
§86. Relationship Between Mass and Energy
§87. Laws of Conservation
§88. Charged Particle Accelerators
PROBLEMS
APPENDICES
Vector Algebra and Analysis Formulas Used in This Book
International (SI) System of Units
Selected Readings
Index
Back Cover