Chapter Ⅰ．Foundations of Quantum Theory

1．Energy and Momentum of Light Quanta

2．Experimental Verification of the Conservation Laws for the Energy and Momentum of Light Quanta

3．Elementary Particles

4．The Bohr Theory

5．Elementary Quantum Theory of Radiation

6．Black-Body Radiation

7．De Broglie Waves．Group Velocity

8．Particle Diffraction

Chapter Ⅱ．Foundations of Quantum Mechanics

9．Statistical Interpretation of De Broglie Waves

10．Position Probability of a Particle

11．The Principle of Superposition of States

12．Momentum Probability of a Particle

13．Mean Values of Functions of the Position and Functions of the Momentum

14．Statistical Ensembles in Quantum Mechanics

15．The Uncertainty Principle

16．Illustrations of the Uncertainty Principle

17．The Role of the Measuring Apparatus

Chapter Ⅲ．Representation of Dynamical Variables by Operators

18．Linear Self-Adjoint Operators

19．General Expressions for the Mean and the Variance of a Variable

20．Eigenvalues and Eigenfunctions of Operators and Their Physical Meaning．＂Quantization＂

21．Properties of Eigenfunctions

22．General Method of Calculating the Probability of the Result of a Measurement

23．Restrictions on Simultaneous Measurements of Different Dynamical Variables

24．Position and Momentum Operators

25．The Angular-Momentum Operator

26．The Energy Operator and the Hamiltonian

27．The Hamiltonian

Chapter Ⅳ．Time Dependence of a State

28．The Schrodinger Equation

29．Conservation of the Number of Particles

30．Stationary States

Chapter Ⅴ．Time Variation of Dynamical Variables

31．Time Derivatives of Operators

32．The Equations of Motion in Quantum Mechanics．Ehrenfest＇s Theorems

33．Constants of the Motion

Chapter Ⅵ．The Relationship of Quantum Mechanics to Classical Mechanics and Optics

34．Passage from Quantum-Mechanical Equations to Newton＇s Equation of Motion

35．Passage from the Time-Dependent Schrodinger Equation to the Classical Hamilton-Jacobi Equation

36．Quantum Mechanics and Optics

37．The Quasi-Classical Approximation(Wentzel-Kramers-Brillouin Method)

Chapter Ⅶ．Principles of Representation Theory

38．Representations of the State of a Quantum System

39．Operators in Different Representations．Matrices

40．Matrices and Matrix Operators

41．The Mean Value and Spectrum of a Dynamical Variable Represented by an Operator in Matrix Form

42．The Schrodinger Equation and the Time Dependence of Operators in Matrix Form

43．Unitary Transformations

44．Unitary Transformations Between Different Instants of Time

45．The Density Matrix

Chapter Ⅷ．The Motion of Particles in a Conservative Field of Force

46．Introductory Remarks

47．The Harmonic Oscillator

48．The Oscillator in the Energy Representation

49．Motion in a Central Field of Force

50．Motion in a Coulomb Field

51．The Energy Spectrum and Wave Functions of the Hydrogen Atom

52．Motion of an Electron in a Monovalent Atom

53．Currents in Atoms．The Magneton

54．Quantum Levels of a Diatomic Molecule

55．Motion of an Electron in a Periodic Field

Chapter Ⅸ．Charged Particle Motion in an Electromagnetic Field

56．An Arbitrary Electromagnetic Field

57．Motion of a Charged Particle in a Homogeneous Magnetic Field

Chapter Ⅹ．Intrinsic Angular Momentum and Magnetic Moment of the Electron(Spin)

58．Experimental Evidence for the Existence of the Spin of the Electron

59．The Electron Spin Operator

60．Spin Functions

61．The Pauli Equation

62．The Splitting of Spectral Lines in a Magnetic Field

63．Motion of a Particle with Spin in a Varying Magnetic Field

64．The Properties of the Resultant Angular Momentum

65．Numbering of Terms with Allowance for Spin．Multiplet Structure of Spectra

Chapter Ⅺ．Perturbation Theory

66．Formulation of the Problem

67．Perturbation In the Absence of Degeneracy

68．Perturbation in the Presence of Degeneracy

69．Level-Splitting in the Case of Twofold Degeneracy

70．Further Remarks on the Removal of Degeneracy

Chapter Ⅻ．Simple Applications of Perturbation Theory

71．The Anharmonic Oscillator

72．Spectral-Line Splitting in an Electric Field

73．Splitting of Hydrogen Lines in an Electric Field

74．The Splitting of Spectral Lines in a Weak Magnetic Field

75．The Vector Model(Splitting in a Weak Magnetic Field)

76．Perturbation Theory for the Continous Spectrum

Chapter ⅩⅢ．Scattering Theory

77．Formulation of the Problem

78．The Born Approximation

79．Elastic Scattering of Fast Particles by Atoms

80．Rigorous Scattering Theory．Phase-Shift Analysis and Effective Cross Section

81．The General Case

82．Coulomb Scattering of Charged Particles

Chapter ⅩⅣ．Theory of Quantum Transitions

83．Formulation of the Problem

84．The Probability of Transition Under a Time-Dependent Perturbation

85．Transitions Under Time-Independent Perturbations

Chapter ⅩⅤ．Emission，Absorption，and Scattering of Light by Atomic Systems

86．Introduction

87．Absorption and Emission of Radiation

88．Emission and Absorption Coefficients

89．The Correspondence Principle

90．Selection Rules for Dipole Emission

91．Intensities in the Emission Spectrum

92．Dispersion

93．Combination(Raman)Scattering

94．The Effect of the Finite Size of the Atom．Quadrupole Radiation

95．Photoelectric Effect

Chapter ⅩⅥ．Particle Transmission Through Potential Barriers

96．Formulation of the Problem and Simple Examples

97．The Tunnel Effect＂Paradox＂

98．Cold Emission

99．Three-Dimensional Potential Barrier．Quasi-Stationary States

100．Theory of α-Particle Decay

101．Ionization of Atoms in Strong Electric Fields

Chapter ⅩⅦ．The Many-Body Problem

102．General Remarks

103．Conservation of the Total Momentum of a System of Particles

104．The Motion of the Center of Mass of a System of Particles

105．The Conservation of Angular Momentum

106．Eigenfunctions of the Angular Momentum Operator for a System of Particles．The Clebsch-Gordan Coefficients

107．Relation Between the Conservation Laws and the Symmetry of Space and Time

Chapter ⅩⅧ．Simple Applications of the Theory of Motion of Systems of Particles

108．The Effect of the Motion of the Nucleons in an Atom

109．A System of Particles Executing Small Oscillations

110．Motion of Atoms in an External Field

111．Determination of the Energy of Stationary States of Atoms by Deflection in External Fields

112．Inelastic Collisions of Electrons with Atoms．Determination of the Energy of the Stationary States of Atoms by the Collision Method

113．The Law of Conservation of Energy and the Special Role of Time in Quantum Mechanics

Chapter ⅩⅨ．Systems of Identical Particles

114．The Principle of Identity of Elementary Particles

115．Symmetric and Antisymmetric States

116．Bose and Fermi Particles．Pauli＇s Principle

117．Wave Functions for a System of Fermions and Bosons

Chapter ⅩⅩ．Second Quantization and Quantum Statistics

118．Second Quantization

119．Theory of Quantum Transitions and the Method of Second Quantization

120．Collision Hypothesis．Fermi-Dirac and Bose-Einstein Gases

Chapter ⅩⅪ．Many-Electron Atoms

121．Helium Atom

122．Approximate Quantitative Theory of the Helium Atom

123．Exchange Energy

124．The Periodic Table

Chapter ⅩⅫ．The Structure of Molecules

125．The Hydrogen Molecule

126．The Nature of Chemical Forces

127．Intermolecular Dispersive Forces

128．The Role of the Nuclear Spin in Diatomic Molecules

Chapter ⅩⅩⅢ．Magnetic Phenomena

129．Paramagnetism and Diamagnetism of Atoms

130．Ferromagnetism

Chapter ⅩⅩⅣ．The Atomic Nucleus

131．Nuclear Forces．Isotopic Spin

132．Classification of the States of a System of Nucleons

133．The Theory of the Deuteron

134．Nucleon-Nucleon Scattering

135．Polarization

136．Application of Quantum Mechanics

Appendix Ⅰ．The Fourier Transformation

Appendix Ⅱ．Eigenfunctions in the Case of Degeneracy

Appendix Ⅲ．Orthogonality and Normalization of Continuous-Spectrum Eigenfunctions．The δ-Function

Appendix Ⅳ．Significance of the Commutation Property of Operators

Appendix Ⅴ．The Spherical Harmonics

Appendix Ⅵ．Hamilton＇s Equation

Appendix Ⅶ．The Schrodinger Equation and the Equations of Motion in Terms of Curvilinear Coordinates

Appendix Ⅷ．Conditions Imposed on the Wave Functions

Appendix Ⅸ Solution of the Equation for the Harmonic Oscillator

Appendix Ⅹ．Electron in a Uniform Magnetic Field

Appendix Ⅺ．Jacobi＇s Coordinates

Problems