دانلود کتاب Fundamentals of Theoretical Physics: Volume 2 - Quantum Mechanics

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Front Cover
Title Page
PREFACE
CONTENTS
1 FOUNDATIONS OF QUANTUM MECHANICS
1. lntrodudion
2. State
3. The Superposition Principle
4. The Physical Meaning of the Psi-Function
5. The Schrodinger Equation
6. Probability Flux Density
2 MATHEMATICAL TOOLS OF QUANTUM MECHANICS
7. Fundamental Postulates
8. Linear Operators
9. Matrix Representation of Operators
10. The Algebra of Operators
11. The Uncertainty Relation
12. The Continuous Spectrum
13. Dirac Notation
14. Transformation of Functions and Operators from One Representation to Another
3 EIGENVALUES AND EIGENFUNCTIONS OF PHYSICAL QUANTITIES
15. Operators of Physical Quantities
16. Rules for Commutation of Operators of Physical Quantities
17. Eigenfunctions of the Coordinate and Momentum Operators
18. Momentum and Energy Representations
19. Eigenvalues and Eigenfunctions of the Angular Momentum Operator
20. Parity
4 TIME DEPENDENCE OF PHYSICAL QUANTITIES
21. The Time Derivative of an Operator
22. Time Dependence of Matrix Elements
5 MOTION OF A PARTICLE IN FORCE FIELDS
23. A Particle in a Central Force Field
24. An Electron in a Coulomb Field. The Hydrogen Atom
25. The Harmonic Oscillator
26. Solution of the Harmonic Oscillator Problem in the Matrix Form
27. Annihilation and Creation Operators
6 PERTURBATION THEORY
28. Introduction
29. Time-Independent Perturbations
30. Case of Two Close Levels
31. Degenerate Case
32. Examples of Application of the Stationary Perturbation Theory
33. Time-Dependent Perturbations
34. Perturbations Varying Harmonically with Time
35. Transitions in a Continuous Spectrum
36. Potential Energy as a Perturbation
7 THE OUASICLASSICAL APPROXIMATION:
37. The Classical Limit
38. Boundary Conditions at a Turning Point
39. Bohr-Sommerfeld Quantization Rule
40. Penetration of a Potential Barrier
8 SEMIEMPIRICAL THEORY OF PARTICLES WITH SPIN
41. Psi-Function of a Particle with Spin
42. Spin Operators
43. Eigenvalues and Eigenfunctions of Spin Operators
44. Spinors
9 SYSTEMS CONSISTING OF IDENTICAL PARTICLES
45. Principle of Indistinguishability of Identical Particles
46. Psi-Functions for Systems of Particles. The Pauli Principle
47. Summation of Angular Momenta
48. Psi-Function of System of Two Particles Having a Spin of 1/2
49. Exchange Interaction
50. Second Quantization
51. Second Quantization Applied to Bosons
52. Second Quantization Applied to Fermions
10 ATOMS A.HD MOLECULES
53. Methods of Calculating Atomic Systems
54. The Helium Atom
55. The Variation Method
56. The. Method of the Self~Consistent Field
57. The Thomas-Fermi Method
58. The Zeeman Effect
59. The Theory of Molecules in the Adiabatic Approximation
60. The Hydrogen Molecule
11 RADIATION THEORY
61. Quantization of an Electromagnetic Field
62. Interaction of an Electromagnetic Field with a Charged Particle
63. One-Photon Processes
64. Dipole Radiation
65. Selectlon Rules
12 SCATTERING THEORY
66. Scattering Cross Section
67. Statfering Amplitude
68. Born Approximation
69. Method of Partial Waves
70. Inelastic Scattering
APPENDICES
I. Angular Momentum Operators in Spherical Coordinates
II. Spherical Functions
III. Chebyshev-Hermite Polynomials
IV. Some Information from the Theory of Functions of a Complex Variable
V. Airy Function
VI. Method of Green\'s Functions
VII. Solution of the Fundamental Equation of the Scattering Theory by the Method of Green\'s Functions
VIII. The Dirac Delta Function
INDEX