The Principles of Quantum Mechanics (Fourth Edition, Revised)

Prefaces......Page v
CONTENTS......Page x
1. The Need for a Quantum Theory......Page p1
2. The Polarization of Photons......Page p4
3. Interference of Photons......Page p7
4. Superposition and Indeterminacy......Page p10
5. Mathematical Formulation of the Principle......Page p14
6. Bra and Ket Vectors......Page p18
7. Linear Operators......Page p23
8. Conjugate Relations......Page p26
9. Eigenvalues and Eigenvectors......Page p29
10. Observables......Page p34
11. Functions of Observables......Page p41
12. The General Physical Interpretation......Page p45
13. Commutability and Compatibility......Page p49
14. Basis Vectors......Page p53
15. The 8 Function......Page p58
16. Properties of the Basic Vectors......Page p62
17. Representation of Linear Operators......Page p67
18. Probability Amplitudes......Page p72
19. Theorems about Functions of Observables......Page p76
20. Developments in Notation......Page p79
21. Poisson Brackets......Page p84
22. Schrodinger's Representation......Page p89
23. The Momentum Representation......Page p94
24. Heisenberg's Principle of Uncertainty......Page p97
25. Displacement Operators......Page p99
26. Unitary Transformations......Page p103
27. Schrodinger's Form for Eqns of Motion......Page p108
28. Heisenberg's Form for Equations of Motion......Page p111
29. Stationary States......Page p116
30. The Free Particle......Page p118
31. The Motion of Wave Packets......Page p121
32. The Action Principle......Page p125
33. The Gibbs Ensemble......Page p130
34. The Harmonic Oscillator......Page p136
35. Angular Momentum......Page p140
36. Properties of Angular Momentum......Page p144
37. The Spin of the Electron......Page p149
38. Motion in a Central Field of Force......Page p152
39. Energy-levels of the Hydrogen Atom......Page p156
40. Selection Rules......Page p159
41. The Zeeman Effect for the Hydrogen Atom......Page p165
42. General Remarks......Page p167
43. Change in Energy Levels caused by a Perturbation......Page p168
44. The Perturbation as causing Transitions......Page p172
45. Application to Radiation......Page p175
46. Transitions caused by a Time-Indep. Perturbation......Page p178
47. The Anomalous Zeeman Effect......Page p181
48. General Remarks......Page p185
49. The Scattering Coefficient......Page p188
50. Solution with the Momentum Representation......Page p193
51. Dispersive Scattering......Page p199
52. Resonance Scattering......Page p201
53. Emission and Absorption......Page p204
54. Symmetrical and Antisymmetrical States......Page p207
55. Permutations as Dynamical Variables......Page p211
56. Permutations as Constants of the Motion......Page p213
57. Determination of the Energy-levels......Page p216
58. Application to Electrons......Page p219
59. An Assembly of Bosons......Page p225
60. The Connexion between Bosons and Oscillators......Page p227
61. Emission and Absorption of Bosons......Page p232
62. Application to Photons......Page p235
63. Interaction Energy between Photons & an Atom......Page p239
64. Emission, Absorption, and Scattering of Radiation......Page p244
65. An Assembly of Fermions......Page p248
66. Relativistic Treatment of a Particle......Page p253
67. The Wave Equation for the Electron......Page p254
68. Invariance under a Lorentz Transformation......Page p258
69. The Motion of a Free Electron......Page p261
70. Existence of the Spin......Page p263
71. Transition to Polar Variables......Page p267
72. Fine-structure of Energy-levels of Hydrogen......Page p269
73. Theory of the Positron......Page p273
74. The E-M Field in the Absence of Matter......Page p276
75. Relativistic Form of the Quantum Conditions......Page p280
76. The Dynamical Variables at one Time......Page p283
77. The Supplementary Conditions......Page p287
78. Electrons and Positrons by Themselves......Page p292
79. The Interaction......Page p298
80. The Physical Variables......Page p302
81. Interpretation......Page p306
82. Applications......Page p310
INDEX......Page p313