Introduction to quantum mechanics : with applications to chemistry
by Linus Pauling, E. Bright Wilson
[目次]
CONTENTS
PREFACE / 3
CHAPTER I SURVEY OF CLASSICAL MECHANICS
1. Newton's Equations of Motion in the Lagrangian Form / 2
2. The Equations of Motion in the Hamilto‐nian Form / 14
3. The Emission and Absorption of Radiation / 21
4. Summary of Chapter I / 23
CHAPTER II THE OLD QUANTUM THEORY
5. The Origin of the Old Quantum Theory / 25
6. The Quantization of Simple Systems / 30
7. The Hydrogen Atom / 36
8. The Decline of the Old Quantum Theory / 47
CHAPTER III THE SCHRODINGER WAVE EQUATION WITH THE HARMONIC OSCILLATOR AS AN EXAMPLE
9. The Schrödinger Wave Equation / 50
10. The Physical Interpretation of the Wave Functions / 63
11. The Harmonic Oscillator in Wave Mechanics / 67
CHAPTER IV THE WAVE EQUATION FOR A SYSTEM OF POINT PARTICLES IN THREE DIMENSIONS
12. The Wave Equation for a System of Point Particles / 84
13. The Free Particle / 90
14. The Particle in a Box / 95
15. The Three-dimensional Harmonic Oscillator in Cartesian Coordinates / 100
16. Curvilinear Coordinates / 103
17. The Three-dimensional Harmonic Oscillator in Cylindrical Coordinates / 105
CHAPTER V THE HYDROGEN ATOM
18. The Solution of the Wave Equation by the Polynomial Method and the Determination of the Energy Levels / 113
19. Legendre Functions and Surface Harmonics / 125
20. The Laguerre Polynomials and Associated Laguerre Functions / 129
21. The Wave Functions for the Hydrogen Atom / 132
CHAPTER VI PERTURBATION THEORY
22. Expansions in Series of Orthogonal Functions / 151
23. First-order Perturbation Theory for a Non-degenerate Level / 156
24. First-order Perturbation Theory for a Degenerate Level / 165
25. Second-order Perturbation Theory / 176
CHAPTER VII THE VARIATION METHOD AND OTHER APPROXIMATE METHODS
26. The Variation Method / 180
27. Other Approximate Methods / 191
CHAPTER VIII THE SPINNING ELECTRON AND THE PAULI EXCLUSION PRINCIPLE,WITH A DISCUSSION OF THE HELIUM ATOM
28. The Spinning Electron / 207
29. The Helium Atom.The Pauli Exclusion Principle / 210
CHAPTER IX MANY-ELECTRON ATOMS
30. Slater's Treatment of Complex Atoms / 230
31. Variation Treatments for Simple Atoms / 246
32. The Method of the Self-consistent Field / 250
33. Other Methods for Many-electron Atoms / 256
CHAPTER X THE ROTATION AND VIBRATION OF MOLECULES
34. The Separation of Electronic and Nuclear Motion / 259
35. The Rotation and Vibration of Diatomic Molecules / 263
36. The Rotation of Polyatomic Molecules / 275
37. The Vibration of Polyatomic Molecules / 282
38. The Rotation of Molecules in Crystals / 290
CHAPTER XI PERTURBATION THEORY INVOLVING THE TIME,THE EMISSION AND ABSORPTION OF RADIATION,AND THE RESONANCE PHENOMENON
39. The Treatment of a Time-dependent Perturbation by the Method of Variation of Constants / 294
40. The Emission and Absorption of Radiation / 299
41. The Resonance Phenomenon / 314
CHAPTER XII THE STRUCTURE OF SIMPLE MOLECULES
42. The Hydrogen Molecule‐ion / 327
43. The Hydrogen Molecule / 340
44. The Helium Molecule-ion He2[+] and the Interaction of Two Normal Helium Atoms / 358
45. The One‐electron Bond,the Electron‐pair Bond,and the Three‐electron Bond / 362
CHAPTER XIII THE STRUCTURE OF COMPLEX MOLECULES
46. Slater's Treatment of Complex Molecules / 366
CHAPTER XIV MISCELLANEOUS APPLICATIONS OF QUANTUM MECHANICS
47. Van der Waals Forces / 383
48. The Symmetry Properties of Molecular Wave Functions / 388
49. Statistical Quantum Mechanics.Systems in Thermodynamic Equilibrium / 395
50. The Energy of Activation of Chemical Reactions / 412
CHAPTER XV GENERAL THEORY OF QUANTUM MECHANICS
51. Matrix Mechanics / 416
52. The Properties of Angular Momentum / 425
53. The Uncertainty Principle / 428
54. Transformation Theory / 432
APPENDICES
I. Values of Physical Constants / 439
II. Proof that the Orbit of a Particle Moving in a Central Field Lies in a Plane / 440
III. Proof of Orthogonality of Wave Functions Corresponding to Different Energy Levels / 441
IV. Orthogonal Curvilinear Coordinate Systems / 443
V. The Evaluation of the Mutual Electrostatic Energy of Two Spherically Symmetrical Distributions of Electricity with Exponential Density Functions / 446
VI. Normalization of the Associated Legendre Functions / 448
VII. Normalization of the Associated Laguerre Functions / 451
VIII. The Greek Alphabet / 453
INDEX. / 455
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書名
Introduction to quantum mechanics : with applications to chemistry
