Preface
Chap 1: The Discovery of Quantum Mechanics
Introduction, 1
Planck and Quantization, 3
Bohr and the Hydrogen Atom, 7
Matrix Mechanics, 11
The Uncertainty Relations, 13
Wave Mechanics, 14
The Final Touches of Quantum Mechanics, 20
Concluding Remarks, 22
Chap: 2 The Mathematics of Quantum Mechanics
Introduction, 23
Differential Equations, 24
Kummer's Function, 25
Matrices, 27
Permutations, 30
Determinants, 31
Properties of Determinants, 32
Linear Equations and Eigenvalues, 35
Problems, 37
Chap 3: Classical Mechanics
Introduction, 39
Vectors and Vector Fields, 40
Hamiltonian Mechanics, 43
The Classical Harmonic Oscillator, 44
Angular Momentum, 45
Polar Coordinates, 49
Problems, 51
Chap 4: Wave Mechanics of a Free Particle
Introduction, 52
The Mathematics of Plane Waves, 53
The Schr6dinger Equation of a Free Particle, 54
The Interpretation of the Wave Function, 56
Wave Packets, 58
Concluding Remarks, 62
Problems, 63
Chap 5: The Schrodinger Equation
Introduction, 64
Operators, 66
The Particle in a Box, 68
Concluding Remarks, 71
Problems, 72
Chap 6: Applications
Introduction, 73
A Particle in a Finite Box, 74
Tunneling, 78
The Harmonic Oscillator, 81
Problems, 87
Chap 7: Angular Momentum
Introduction, 88
Commuting Operators, 89
Commutation Relations of the Angular Momentum,
The Rigid Rotor, 91
Eigen functions of the Angular Momentum, 93
Concluding Remarks, 96
Problems, 96
Chap 8: The Hydrogen Atom
Introduction, 98
Solving the Schr6dinger Equation, 99
Deriving the Energy Eigenvalues, 101
The Behavior of the Eigenfuncfions, 103
Problems, 106
Chap 9: Approximate Methods
Introduction, 108
The Variational Principle, 109
Applications of the Variational Principle, 111
Perturbation Theory for a Nondegenerate State, 113
The Stark Effect of the Hydrogen Atom, 116
Perturbation Theory for Degenerate States, 119
Concluding Remarks, 120
Problems, 120
Chap 10: Helium Atom
Introduction, 122
Experimental Developments, 123
Pauli's Exclusion Principle, 126
The Discovery of the Electron Spin, 127
The Mathematical Description of the Electron Spin, 129
The Exclusion Principle Revisited, 132
Two-Electron Systems, 133
The Helium Atom, 135
The Helium Atom Orbitals, 138
X Concluding Remarks, 139
XI Problems, 140
Chap 11: Atomic Structure
I Introduction, 142
Atomic and Molecular Wave Function, 145
The Hartree-Fock Method, 146
Slater Orbitals, 152
Multipier Theory, 154
Concluding Remarks, 158
Problems, 158
Chap 12: Molecular Structure
Introduction, 160
The Born-Oppenheimer Approximation, 161
Nuclear Motion of Diatomic Molecules, 164
The Hydrogen Molecular Ion, 169
The Hydrogen Molecule, 173
The Chemical Bond, 176
The Structures of Some Simple Polyatomic Molecules, 179
The Htickel Molecular Orbital Method, 183
Problems, 189