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The Origins of Quantum Mechanics | |
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Introduction | |
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Blackbody Radiation The Problem with Blackbody Radiation | |
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The Nature of Light The Photoelectric Effect The Compton Effect Is it a Particle or a Wave? | |
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TheWave Nature of Matter | |
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The Bohr Atom | |
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Where do we Stand? | |
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Math Interlude A: Complex Numbers and Linear Operators | |
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Complex Numbers | |
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Operators Definition of an Operator Eigenfunctions and Eigenvalues | |
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The Schrodinger Equation | |
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Derivation of the Schrodinger Equation | |
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The Meaning of theWave Function | |
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The Time-Independent Schrodinger Equation Derivation of the Time-Independent Schrodinger Equation Qualitative Solutions and the Origin of Quantization | |
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One-Dimensional Time-Independent Schrodinger Equation | |
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Unbound States: Scattering and Tunneling Scattering From Step-Function Potentials | |
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Bound Systems The Infinite SquareWell The Harmonic Oscillator Potential | |
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Math Interlude B: Linear Algebra | |
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Properties of Linear Operators | |
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Vector Spaces Inner Products Adjoint and Hermitian Operators Basis Sets | |
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The Three-Dimensional Time-Independent Schrodinger Equation | |
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Solution in Rectangular Coordinates | |
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Angular Momentum | |
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The Schrodinger Equation in Spherical Coordinates | |
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The Hydrogen Atom | |
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Math Interlude C: Matrices, Dirac Notation, and the Dirac Delta Function | |
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The Matrix Formulation of Linear Operators | |
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Dirac Notation | |
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The Dirac Delta Function | |
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Spin Angular Momentum | |
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Spin Operators | |
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Evidence for Spin | |
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Adding Angular Momentum | |
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The Matrix Representation of Spin | |
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The Stern-Gerlach Experiment | |
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Spin Precession | |
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Spin Systems with Two Particles Noninteracting Spins Interacting Spins | |
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Measurement Theory Hidden Variables The Many | |
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Worlds Interpretation of Quantum Mechanics | |
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Time-Independent Perturbation Theory | |
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Derivation of Time-Independent Perturbation Theory | |
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Perturbations to the Atomic Energy Levels Fine Structure The Lamb Shift | |
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The Atom in External Electric or Magnetic Fields The Atom in an Electric Field: The Stark Effect The Atom in a Magnetic Field: The Zeeman Effect | |
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The Variational Principle | |
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Variational Principle: Theory | |
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Variational Principle: Application to the Helium Atom | |
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Time-Dependent Perturbation Theory | |
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Derivation of Time-Dependent Perturbation Theory | |
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Application: Selection Rules for Electromagnetic Radiation | |
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Scattering Theory | |
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Definition of the Cross Section | |
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The Born Approximation | |
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PartialWaves | |
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The Multiparticle Schrodinger Equation | |
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Wave Function for Identical Particles | |
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Multielectron Atoms | |
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Some Modern Applications of Quantum Mechanics | |
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Magnetic Resonance Imaging | |
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Quantum Computing | |
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What Comes Next? Relativistic Quantum Mechanics | |
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The Klein-Gordon Equation Derivation of the Klein-Gordon Equation Probability Densities and Currents | |
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The Dirac Equation | |
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Answers and Hints for Selected | |
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End-of-Chapter Exercises | |
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Index | |