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CONTENTS

Volume 1

Preface — 5

PART I. MECHANICS

1. General Remarks — 9
2. Lagrange Equations — 13
3. Examples of Constructing the Lagrange Equations — 27
4. Conservation Laws — 36
5. Motion in a Central Field — 49
6. Collision of Particles — 58
7. Small Oscillations — 70
8. Noninertial Frames of Reference — 81
9. Dynamics of Rigid Bodies — 89
10. Hamilton’s Equations and the Hamilton–Jacobi Equation — 108

PART II. ELECTRODYNAMICS

11. Vector Analysis — 125
12. Maxwell’s Equations — 142
13. Einstein’s Relativity Principle — 157
14. Relativistic Mechanics — 177
15. Action of an Electromagnetic Field — 194
16. Electrostatics of Point Charges — 208
17. Magnetostatics of Point Charges — 219
18. Plane Electromagnetic Waves — 229
19. Transmission of Signals. Almost Plane Waves — 239
20. The Emission of Electromagnetic Waves — 248

PART III. QUANTUM MECHANICS

21. The Inadequacy of Classical Mechanics. The Analogy Between Classical Mechanics and Geometrical Optics — 269
22. Electron Diffraction — 278
23. The Wave Equation — 285
24. Operators in Quantum Mechanics — 293
25. Expansions in Wave Functions — 306
26. Transformation of Independent Variables — 318
27. Operators in Matrix Representation — 331
28. Some Problems in Coordinate Representation — 342
29. Motion in a Central Potential — 365
30. Electron Spin — 383
31. The Quasi-Classical Approximation — 401
32. Perturbation Theory — 424
33. Many-Electron Systems. The Atom — 436
34. Diatomic Molecules — 480
35. The Quantum Theory of Scattering — 491
36. The Quantum Theory of Radiation — 508
37. The Dirac Equation — 528

Supplementary Exercises — 547

Index — 557

Preface — 5

PART I. STATISTICAL PHYSICS

1. Equilibrium Distribution of Molecules in Ideal Gas — 9
2. Boltzmann Statistics: Translational Motion of Molecules; Gas in an External Field — 27
3. Boltzmann Statistics: Vibrational and Rotational Molecular Motion — 41
4. Applications of Statistics to Electromagnetic Fields in Vacuum and to Crystalline Bodies — 51
5. The Bose Distribution — 69
6. The Fermi Distribution — 73
7. Gibbs Statistics — 82
8. Thermodynamic Quantities — 95
9. The Thermodynamic Properties of Ideal Gas in Boltzmann Statistics — 120
10. Fluctuations — 132
11. Phase Equilibria — 143
12. Dilute Solutions — 158
13. Chemical Equilibria — 164
14. Surface Phenomena — 170

PART II. HYDRODYNAMICS AND GAS DYNAMICS

15. The General Equations of Hydrodynamics — 176
16. Some Problems on the Motion of an Ideal Fluid — 192
17. Mechanics of a Viscous Incompressible Fluid — 201
18. Motion of Bodies in an Incompressible Fluid — 213
19. Superfluidity — 226
20. One-Dimensional Steady Flow of a Compressible Gas — 236
21. Quasi-One-Dimensional Flow of a Gas — 241
22. Characteristics of One-Dimensional Nonsteady Isentropic Flow — 246
23. Simple Waves — 251
24. One-Dimensional Nonsteady Isentropic Flow: Interaction of Simple Waves — 258
25. Shock Waves — 267
26. Applications of the Theory of Shock Waves — 277
27. Detonation Waves — 284

PART III. ELECTRODYNAMICS OF CONTINUOUS MEDIA

28. General Equations — 290
29. Electrostatics of Conductors — 299
30. Electrostatics of Dielectrics — 312
31. Direct Current — 321
32. Magnetic Properties of Nonferromagnetic Media — 332
33. Ferromagnetism — 342
34. The Magnetic Field of Direct Current — 352
35. Quasi-Stationary Currents — 363
36. Rapidly Variable Fields — 376
37. Theory of Dispersion — 386
38. Electromagnetic Waves — 397
39. Some Applications of the Electrodynamics of Rapidly Variable Fields — 411

PART IV. PHYSICAL KINETICS

40. General Relationships — 423
41. The Transport Equation — 440
42. Electrons in Crystals — 465
43. Semiconductors and Metals — 480

Index — 502