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| Preface | |
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| Stern-Gerlach Experiments | |
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| The Original Stern-Gerlach Experiment | |
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| Four Experiments | |
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| The Quantum State Vector | |
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| Analysis of Experiment 3 | |
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| Experiment 5 | |
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| Summary | |
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| Rotation of Basis States and Matrix Mechanics | |
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| The Beginnings of Matrix Mechanics | |
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| Rotation Operators | |
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| The Identity and Projection Operators | |
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| Matrix Representations of Operators | |
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| Changing Representations | |
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| Expectation Values | |
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| Photon Polarization and the Spin of the Photon | |
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| Summary | |
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| Angular Momentum | |
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| Rotations Do Not Commute and Neither Do the Generators | |
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| Commuting Operators | |
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| The Eigenvalues and Eigenstates of Angular Momentum | |
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| The Matrix Elements of the Raising and Lowering Operators | |
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| Uncertainty Relations and Angular Momentum | |
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| The Spin-1/2 Eigenvalue Problem | |
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| A Stern-Gerlach Experiment with Spin-1 Particles | |
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| Summary | |
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| Time Evolution | |
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| The Hamiltonian and the Schrodinger Equation | |
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| Time Dependence of Expectation Values | |
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| Precession of a Spin-1/2 Particle in a Magnetic Field | |
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| Magnetic Resonance | |
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| The Ammonia Molecule and the Ammonia Maser | |
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| The Energy-Time Uncertainty Relation | |
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| Summary | |
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| A System of Two Spin-1/2 Particles | |
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| The Basis States for a System of Two Spin-1/2 Particles | |
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| The Hyperfine Splitting of the Ground State of Hydrogen | |
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| The Addition of Angular Momenta for Two Spin-1/2 Particles | |
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| The Einstein-Podolsky-Rosen Paradox | |
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| A Nonquantum Model and the Bell Inequalities | |
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| Summary | |
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| Wave Mechanics in One Dimension | |
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| Position Eigenstates and the Wave Function | |
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| The Translation Operator | |
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| The Generator of Translations | |
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| The Momentum Operator in the Position Basis | |
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| Momentum Space | |
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| A Gaussian Wave Packet | |
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| The Heisenberg Uncertainty Principle | |
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| General Properties of Solutions to the Schrodinger Equation in Position Space | |
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| The Particle in a Box | |
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| Scattering in One Dimension | |
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| Summary | |
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| The One-Dimensional Harmonic Oscillator | |
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| The Importance of the Harmonic Oscillator | |
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| Operator Methods | |
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| An Example: Torsional Oscillations of the Ethylene Molecule | |
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| Matrix Elements of the Raising and Lowering Operators | |
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| Position-Space Wave Functions | |
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| The Zero-Point Energy | |
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| The Classical Limit | |
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| Time Dependence | |
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| Solving the Schrodinger Equation in Position Space | |
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| Inversion Symmetry and the Parity Operator | |
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| Summary | |
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| Path Integrals | |
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| The Multislit, Multiscreen Experiment | |
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| The Transition Amplitude | |
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| Evaluating the Transition Amplitude for Short Time Intervals | |
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| The Path Integral | |
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| Evaluation of the Path Integral for a Free Particle | |
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| Why Some Particles Follow the Path of Least Action | |
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| Quantum Interference Due to Gravity | |
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| Summary | |
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| Translational and Rotational Symmetry in the Two-Body Problem | |
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| The Elements of Wave Mechanics in Three Dimensions | |
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| Translational Invariance and Conservation of Linear Momentum | |
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| Relative and Center-of-Mass Coordinates | |
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| Estimating Ground-State Energies Using the Uncertainty Principle | |
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| Rotational Invariance and Conservation of Angular Momentum | |
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| A Complete Set of Commuting Observables | |
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| Vibrations and Rotations of a Diatomic Molecule | |
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| Position-Space Representations of L in Spherical Coordinates | |
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| Orbital Angular Momentum Eigenfunctions | |
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| Summary | |
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| Bound States of Central Potentials | |
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| The Behavior of the Radial Wave Function Near the Origin | |
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| The Coulomb Potential and the Hydrogen Atom | |
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| The Finite Spherical Well and the Deuteron | |
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| The Infinite Spherical Well | |
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| The Three-Dimensional Isotropic Harmonic Oscillator | |
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| Conclusion | |
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| Time-Independent Perturbations | |
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| Nondegenerate Perturbation Theory | |
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| An Example Involving the One-Dimensional Harmonic Oscillator | |
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| Degenerate Perturbation Theory | |
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| The Stark Effect in Hydrogen | |
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| The Ammonia Molecule in an External Electric Field Revisited | |
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| Relativistic Perturbations to the Hydrogen Atom | |
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| The Energy Levels of Hydrogen, Including Fine Structure, the Lamb Shift, and Hyperfine Splitting | |
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| The Zeeman Effect in Hydrogen | |
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| Summary | |
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| Identical Particles | |
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| Indistinguishable Particles in Quantum Mechanics | |
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| The Helium Atom | |
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| Multielectron Atoms and the Periodic Table | |
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| Covalent Bonding | |
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| Conclusion | |
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| Scattering | |
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| The Asymptotic Wave Function and the Differential Cross Section | |
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| The Born Approximation | |
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| An Example of the Born Approximation: The Yukawa Potential | |
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| The Partial Wave Expansion | |
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| Examples of Phase-Shift Analysis | |
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| Summary | |
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| Photons and Atoms | |
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| The Aharonov-Bohm Effect | |
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| The Hamiltonian for the Electromagnetic Field | |
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| Quantizing the Radiation Field | |
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| The Properties of Photons | |
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| The Hamiltonian of the Atom and the Electromagnetic Field | |
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| Time-Dependent Perturbation Theory | |
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| Fermi's Golden Rule | |
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| Spontaneous Emission | |
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| Higher-Order Processes and Feynman Diagrams | |
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| Appendixes | |
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| Electromagnetic Units | |
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| The Addition of Angular Momenta | |
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| Dirac Delta Functions | |
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| Gaussian Integrals | |
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| The Lagrangian for a Charge q in a Magnetic Field | |
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| Values of Physical Constants | |
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| Answers to Selected Problems | |
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| Index | |