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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この本の情報

書名 Introduction to quantum mechanics : with applications to chemistry
著作者等 Pauling, Linus Carl
Wilson, Edgar Bright
by Linus Pauling, E. Bright Wilson
出版元 文真堂
刊行年月 1942.7
ページ数 468p
大きさ 22cm
全国書誌番号
22020367
※クリックで国立国会図書館サーチを表示
言語 英語
出版国 日本
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