The elements of the new quantum mechanics

PREFACE......Page p007
CONTENTS......Page p009
I : 1. Introduction......Page p1
2. The Formulation of the Problem. ·......Page p3
3. The Fundamental Equations of Mechanics......Page p4
4. Hertz's Formula......Page p8
5. Criticism of the Preceding Reflections......Page p12
6. The Existence of Stationary States......Page p14
7. The Correspondence Princip1e......Page p15
8. The Quantum Conditions......Page p16
9. The Achievements of Bohr's Theory......Page p18
IV : HEISENBERG'S QUANTUM MECHANICS.......Page p20
10. The Fundamental Ideas of Heisenberg's Theory......Page p21
11. The New Kinematics.......Page p22
12. Calculations with Matrices.......Page p25
13. The Commutation Law......Page p29
14. The Mechanical Equations of Motion......Page p30
.. Integration of Qm-mechanical Eqns of Motion......Page p31
16. Survey of the Matrix Method......Page p32
.. The Achievements of Quantum Mechanics......Page p33
17. Allocation of Vibration Freq. to the Electron......Page p35
18. First Step: the Phase Waves......Page p36
19. Second Step: the Wave Groups.......Page p38
20. The Optical-mechanical Analogy......Page p40
22. Occurrence of Interference in Case of Electrons......Page p41
23. The Phase-wave concept as Guide to Wave-mechanics......Page p42
24. Wave-equation of the One-electron Problem......Page p44
25. The Idea of Proper Values [Eigenvalues]......Page p46
26. Application to the Hydrogen Atom......Page p47
27. Interp. the Process of Radiation by Wave-mechanics......Page p48
.. Calculation of the Intensities of Spectral Lines......Page p50
29. Generalization of the Wave-equation......Page p52
30. Criticism of Wave-mechanics......Page p54
31. Introduction......Page p57
32. Recap. Wave-equation appl. to Conservative Systems......Page p59
33. The Wave-equation Depending on the Time......Page p61
34. Relativistic Wave-eqn acc. to Schrodinger......Page p65
35. Development of the Theory of Multiple Quantizing......Page p69
36. The Hypothesis of Electron Spin......Page p76
37. Newer View, Fine-structure of the H Spectrum......Page p81
38. The Wave-mechanical Four-current......Page p84
39. Dirac's Theory of the Spinning e, no Ext. Fields......Page p90
40. Dirac's Spinning Electron, with External Fields......Page p97
41. Oscillator & Rotator. Methods of Calculation......Page p102
42. Theory of Perturbations of Conservative Systems......Page p108
43. The Unperturbed Hydrogen Atom......Page p114
44. Influence of External Fields on H......Page p119
45. Problems Concerning the Diffraction of Matter......Page p123
46. Crossing a Potential Barrier......Page p128
47. Theory of Perturbations of Non-stationary Systems......Page p131
48. Theory of Dispersion.......Page p134
49. Photo-electric Effect. Compton Effect......Page p137
50. Exchange Degeneracy. A Special Example......Page p142
51. Degen. of Particles. General Proof for...n Bodies......Page p146
52. The Helium Atom......Page p148
53. Theory of Band-spectra & Nuclear Spin......Page p152
54. Calculation of the Hydrogen Molecule.......Page p155
55. Prospects Opened up by Group Theory & Chemistry......Page p157
56. The Auger Effect......Page p158
57. Preliminary Remarks on Classical Statistics......Page p159
58. The New Statistics......Page p161
59. Statistical...Calc. Bose-Einstein & Fermi-Dirac......Page p162
60. Theory of the Ideal Gas......Page p165
61. Metallic Electrons as Degenerate Fermi-gas......Page p171
62. Photo-electric Limit & Richardson Effect.......Page p173
63. The Paramagnetism of Metals.......Page p175
64. The Heat of Rotation of H2......Page p176
65. The Theory of Ferro-magnetism......Page p178
66. Enunciation of the Problem......Page p181
67. H's Original Form. Schr's Wave-mech...Extended......Page p182
68. Statistical Interp. of QM. Transformation Theory......Page p186
69. Detailed...Statistical Interp. Imaginary Expt by Einstein......Page p188
70. Heisenberg's Uncertainty Relation. Mechanical Problems......Page p192
71. H's Uncertainty Rel. Mutual Action, Radiation & Matter......Page p197
72. H's Uncertainty Rel. Paradoxes in Mechanical Problems......Page p201
73. Concluding Remarks on Wave-mechanics......Page p205
BIBLIOGRAPHY AND REFERENCES......Page p209
INDEX......Page p213