Quantum Particle Dynamics

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Copyright ......Page 5
Contents ix ......Page 9
Preface vii ......Page 7
1. Lorentz transformations 1 ......Page 12
2. Classical electromagnetic equations 5 ......Page 16
3. Relativistic. dynamics 10 ......Page 21
4. Hamiltonian for a charged particle in an electromagnetic field 16 ......Page 27
5. Relativistic wave propagation 18 ......Page 29
6. Difficulties in classical mechanics 24 ......Page 35
7. The hypotheses of Planck and Einstein 26 ......Page 37
8. Early attempts at a new mechanics 27 ......Page 38
9. De Broglie waves 30 ......Page 41
10. The wave equations 33 ......Page 44
11. The f*f-hypothesis 36 ......Page 47
12. The hydrogen atom 38 ......Page 49
13. Quantum-mechanical operators 44 ......Page 55
14. Heisenberg’s attitude towards atomic problems 52 ......Page 63
15. Matrix algebra 53 ......Page 64
16. Matrix representatives 60 ......Page 71
17. Equations of matrix mechanics 65 ......Page 76
18. SchrOdinger and Heisenberg representation 68 ......Page 79
19. The harmonic oscillator 71 ......Page 82
20. The uncertainty relation 75 ......Page 86
21. The angular-momentum operator 78 ......Page 89
22. Angular momentum of the hydrogen atom 81 ......Page 92
23. Spin 84 ......Page 95
24. General theory of angular momentum 90 ......Page 101
25. Two-particle systems 97 ......Page 108
26. Quantum statistics 99 ......Page 110
27. The helium atom 103 ......Page 114
28. The hydrogen molecule 107 ......Page 118
29. The periodic system of elements 110 ......Page 121
30. The relativistic wave equation for an electron 114 ......Page 125
31. The motion of an electron 116 ......Page 127
32. The current density four-vector for electrons 118 ......Page 129
33. Magnetic moment and spin of the electron 119 ......Page 130
34. The relativistic wave equation in polar coordinates 124 ......Page 135
35. Fine-structure of the spectral lines of hydrogen 128 ......Page 139
36. Negative energy states of the electron 134 ......Page 145
37. Solutions of the relativistic wave equation 135 ......Page 146
38. Orthonormality and completeness relations for spinors 137 ......Page 148
39. Evaluation of spinor summations 140 ......Page 151
40. Classical Hamiltonian for the Maxwell-Lorentz field 144 ......Page 155
41. Quantum-mechanical Hamiltonian for the electromagnetic field . 152 ......Page 163
42. Density of states 155 ......Page 166
43. Perturbation theory 157 ......Page 168
44. Differential and total cross-sections 162 ......Page 173
45. Matrix elements for emission and absorption of photons 164 ......Page 175
47. Photoelectric effect 169 ......Page 180
48. Compton effect 174 ......Page 185
49. The Klein-Nishina formula 177 ......Page 188
50. Discussion of Compton scattering 183 ......Page 194
51. Matrix element for Coulomb interaction 187 ......Page 198
52. Bremsstrahlung 188 ......Page 199
53. Pair production of electrons 195 ......Page 206
54. Annihilation of positrons 198 ......Page 209
55. Theory and experiment for high-energy electromagnetic events . 203 ......Page 214
56. Structure of the atomic nucleus 206 ......Page 217
57. Lagrangian and Hamiltonian formalism in field theory 209 ......Page 220
58. Yukawa\'s theory of nuclear forces 214 ......Page 225
59. Quantisation of the pseudoscalar meson field 218 ......Page 229
60. Meson-nucleon scattering 223 ......Page 234
61. Production of pions 231 ......Page 242
62. Production of negative protons 234 ......Page 245
63. Annihilation of negative protons 237 ......Page 248
64. Strange particles 240 ......Page 251
Index 247 ......Page 258
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