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Chapter 1. Classical Mechanics
1.1Newtonian Mechanics, 1
1.2Hamiltonian Mechanics, 3
1.3The Harmonic Oscillator, 5

Chapter 2. Fundamentals of Quantum Mechanics
2.1The de Broglie Relationship, 14
2.2Accounting for Wave Character in Mechanical Systems, 16
2.3The Born Interpretation, 18
2.4Particle-in-a-Box, 20
2.5Hermitian Operators, 27
2.6Operators and Expectation Values, 27
2.7The Heisenberg Uncertainty Principle, 29
2.8Particle in a Three-Dimensional Box and Degeneracy, 33

Chapter 3. Rotational Motion
3.1Particle-on-a-Ring, 37
3.2Particle-on-a-Sphere, 42

Chapter 4. Techniques of Approximation
4.1Variation Theory, 54
4.2Time-Independent Non -Degenerate Perturbation
Theory, 60
4.3Time-Independent Degenerate Perturbation
Theory, 76

Chapter 5. Particles Encountering a Finite
Potential Energy
5.1Harmonic Oscillator, 85
5.2Tunneling, Transmission, and Reflection, 96

Chapter 6. Vibrational/Rotational Spectroscopy of
Diatomic Molecules
6.1Fundamentals of Spectroscopy, 113
6.2Rigid Rotor Harmonic Oscillator Approximation
(RRHO), 115
6.3Vibrational Anharmonicity, 128
6.4Centrifugal Distortion, 132
6.5Vibration-Rotation Coupling, 135
Spectroscopic Constants from
6.6Vibrational Spectra, 136
6.7Time Dependence and Selection Rules, 140

Chapter 7. Vibrational and Rotational
Spectroscopy of Polyatomic Molecules
7.1Rotational Spectroscopy of Linear
Polyatomic Molecules, 150
7.2Rotational Spectroscopy of Non-Linear
Polyatomic Molecules, 156
7.3Infrared Spectroscopy of
Polyatomic Molecules, 168

Chapter 8. Atomic Structure and Spectra
8.1 One-Electron Systems, 177
8.2 The Helium Atom, 191
8.3 Electron Spin, 199
8.4 Complex Atoms, 200
8.5 Spin-Orbit Interaction, 207
8.6 Selection Rules and Atomic Spectra, 217
Chapter 9. Methods of Molecular Electronic
Structure Computations
9.1 The Born-Oppenheimer Approximation, 222
9.2 The Molecule, 224
9.3 Molecular Mechanics Methods, 232
9.4 Ab Initio Methods, 235
9.5 Semi-Empirical Methods, 249
9.6 Density Functional Methods, 251
9.7 Computational Strategies, 255
Appendix I. Table of Physical Constants
Appendix II. Table of Energy Conversion Factors
Appendix III. Table of Common Operators
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