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| Introduction | |
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| Foundations | |
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| Particles and Waves | |
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| Probability Amplitudes | |
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| The Origins of Quantum Mechanics | |
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| The Schr?dinger Equation and Wave Packet Solutions | |
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| Operators, Expectation Values, and Ehrenfest's Theorem | |
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| The Time-Independent Schrodinger Equation | |
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| Eigenfunctions and Eigenvalues | |
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| Piecewise Constant Potentials: I | |
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| Piecewise Constant Potentials: II | |
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| The Simple Harmonic Oscillator | |
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| The Simple Harmonic Oscillator I | |
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| The Simple Harmonic Oscillator II: Operators | |
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| The Simple Harmonic Oscillator III: Wave Packet Solutions | |
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| The Quantum LC Circuit | |
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| Useful Approximations | |
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| Overview of Approximate Methods for Eigenfunctions | |
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| The WKB Approximation | |
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| The Variational Method | |
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| Finite Basis Approximation | |
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| The Two-Level System | |
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| The Two-level System with Static Coupling | |
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| Th e Two-level System with Dynamical Coupling | |
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| Coupld Two-level System and Simple Harmonic Oscillator | |
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| Quantum Systems with Many Degrees of Freedom | |
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| Problems in More than One Dimension | |
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| Electromagnetic Field Quantization I: Resonator Fields | |
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| Electromagnetic Field Quantization II: Free-space Fields | |
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| The Density of States | |
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| The Golden Rules: The Calculation of Transition Raes | |
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| Statistical Mechanics | |
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| Basic Concepts of Statistical Mechanics | |
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| Microscopic Quantum Systems in Equilibrium with a Reservoir | |
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| Statistical Models Applied to Metals and Semiconductors | |
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| Hydrogen Atom, Helium Atom, and Molecular Hydrogen | |
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| The Hydrogen Atom I: The Classical Problems | |
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| The Hydrogen Atom II: The Quantum Problem | |
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| The Hydrogen Atom III: Applications | |
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| Two-Electron Atoms and Ions | |
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| Molecular Hydrogen I: H 2+ and H 2 Electronic Orbitals | |
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| Molecular Hydrogen II: Vibrational and Rotational States | |
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| Appendices | |
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| Gaussian Integrals | |
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| The Fourier Transform of a Plane Wave | |
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| The Probability Flux | |
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| The Cascaded Matrix Method | |
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| The Creation Operator Raises the Index | |
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| Canonical Quantization | |
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| Wave Packet Incident on a "Gentle" Potential Step | |
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| The WKB Representation for Allowed Regions | |
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| The WKB Representation for Forbidden Regions | |
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| Matrix Elements for the Quartic Well | |
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| Normalization, and the Unity Operator | |
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| The Density Operator and Density Matrix | |
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| The Two-level System Hamiltonian | |
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| Thinking about Dirac Notation | |
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| Coordinate Rotation and the Two-dimensional SHO | |
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| Conservation Law for the Electromagnetic Energy Density | |
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| The Grand Partition Function | |
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| Analytic Results for Metals Properties | |
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| Saha Equilibrium for a Hydrogen Plasma | |
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| Nuclear Magnetic Resonance | |
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| The Atomic Force Microscope | |
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| The Heisenberg Picture | |
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| References | |
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| Index | |