Preface Chapter 1 The Schrodinger Equation 1.1 Quantum Chemistry 1.2 Historical Background JQuantum Mechanics 1.3 The Uncertainty Principle 1.4 The Time-Dependent Schr6dinger Equation 1.5 The Time-Independent Schr/3dinger Equation 1.6 Probability 1.7 Complex Numbers 1.8 Units 1.9 Calculus Summary Problems Chapter 2 The Particle in a Box 2.1 Differential Equations 2.2 Particle in a One-Dimensional Box 2.3 The Free Particle in One Dimension 2.4 Particle in a Rectangular Well 2.5 Tunneling Summary Problems Chapter 3 Operators 3.1 Operators 3.2 Eigenfunctions and Eigenvalues 3.3 Operators and Quantum Mechanics 3.4 The Three-Dimensional, Many-Particle Schr6dinger Equation 3.5 The Particle in a Three-Dimensional Box 3.6 Degeneracy 3.7 Average Values 3.8 Requirements for an Acceptable Wave Function Summary Problems Chapter 4 The Harmonic Oscillator 4.1 Power-Series Solution of Differential Equations 4.2 The One-Dimensional Harmonic Oscillator 4.3 Vibration of Diatomic Molecules 4.4 Numerical Solution of the One-Dimensional Time-Independent Schr/)dinger Equation Summary Problems Chapter 5 Angular Momentum 5.1 Simultaneous Specification of Several Properties 5.2 Vectors 5.3 Angular Momentum of a One-Particle System 5.4 The Ladder-Operator Method for Angular Momentum Summary Problems Chapter 6 The Hydrogen Atom 6.1 The One-Particle Central-Force Problem 6.2 Noninteracting Particles and Separation of Variables 6.3 Reduction of the Two-Particle Problem to Two One-Particle Problems
6.4 The Two-Particle Rigid Rotor 6.5 The Hydrogen Atom 6.6 The Bound-State Hydrogen-Atom Wave Functions 6.7 Hydrogenlike Orbitals 6.8 The Zeeman Effect 6.9 Numerical Solution of the Radial Schr6dinger Equation Summary Problems Chapter 7 Theorems of Quantum Mechanics 7.1 Notation 7.2 Hermitian Operators 7.3 Expansion in Terms of Eigenfunctions 7.4 Eigenfunctions of Commuting Operators 7.5 Parity 7.6 Measurement and the Superposition of States 7.7 Position Eigenfunctions 7.8 The Postulates of Quantum Mechanics 7.9 Measurement and the Interpretation of Quantum Mechanics 7.10 Matrices Summary Problems Chapter 8 The Variation Method Chapter 9 Perturbation Theory Chapter 10 Electron Spin and the Spin-Statistics Theorem Chapter 11 Many-Electron Atoms Chapter 12 Molecular Symmetry Chapter 13 Electronic Structure of Diatomic Molecules Chapter 14 Theorems of Molecular Quantum Mechanics Chapter 15 Molecular Electronic Structure Chapter 16 Electron-Correlation Methods Chapter 17 Semiempirical and Molecular-Mechanics Treatments of Molecule Appendix Bibliography Answers to Selected Problems Index
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