目次

1. Fundamental Concepts 1.1. The Stern-Gerlach Experiment 1.2. Kets,Bras, and Operators 1.3. Base Kets and Matrix Representations 1.4.Measurements, Observaables, and the Uncertainty Relations 1.5. Change ofBasis 1.6. Position, Momentum, and Translation 1.7. Wave Functions inPosition and Momentum Space 2. Quantum Dynamics 2.1. Time Evolution and theSchroDinger Equation 2.2. The SchroDinger Versus the Heisenberg Picture2.3. Simple Harmonic Oscillator 2.4. SchroDinger's Wave Equation 2.5.Elementary Solutions to SchroDinger's Wave Equation 2.6. Propogators andFeynman Path Integrals 2.7. Potentials and Gauge Transformations 3. Theoryof Angular Momentum 3.1. Rotations and Angular Momentum CommutationRelations 3.2. Spin 1 3.3. SO(e), SU(2), and Euler Rotations 3.4. DensityOperators and Pure Versus Mixed Ensembles 3.5 Eigenvalues and Eigenstates ofAngular Momentum 3.6. Orbital Angular Momentum 3.7. SchroDinger's Equationfor Central Potentials 3.8 Addition of Angular Momenta 3.9. Schwinger'sOscillator Model of Angular Momentum 3.10. Spin Correlation Measurements andBell's Inequality 3.11. Tensor Operators 4. Symmetry in Quantum Mechanics4.1. Symmetries, Conservation Laws, and Degeneracies 4.2. DiscreteSymmetries, Parity, or Space Inversion 4.3. Lattice Translation as aDiscrete Symmetry 4.4. The Time-Reversal Discrete Symmetry 5. ApproximationMethods 5.1. Time-Independent Perturbation Theory: Nondegenerate Case 5.2.Time-Independent Perturbation Theory: The Degenerate Case 5.3. HydrogenlikeAtoms: Fine Structure and the Zeeman Effect 5.4. Variational Methods 5.5.Time-Depedent Potentials: The Interaction Picture 5.6. Hamiltonians withExtreme Time Dependence 5.7. Time-Dependent Perturbation Theory 5.8.Applications to Interactions with the Classical Radiation Field 5.9 EnergyShift and Decay Width 6. Scattering Theory 6.1. Scattering as aTime-Dependent Perturbation 6.2 The Scattering Amplitude 6.3. The BornApproximation 6.4. Phase Shifts and Partial Waves 6.5. EikonalApproximation 6.6. Low-Energy Scattering and Bound States 6.7. ResonanceScattering 6.8. Symmetry Considerations in Scattering 6.9 InelasticElectron-Atom Scattering 7. Identical Particles 7.1. Permutation Symmetry7.2. Symmetrization Postulate 7.3. Two-Electron System 7.4. The Helium Atom7.5. Multi-Particle States 7.6. Quantization of the Electromagnetic Field8. Relativistic Quantum Mechanics 331 8.1. Paths to Relativisitic QuantumMechanics 8.2. The Dirac Equation 8.3. Symmetries of the Dirac Equation8.4. Solving with a Central Potential 8.5. Relativistic Quantum Field TheoryAppendices A. Electromagnetic Units A.1. Coulomb's Law, Charge, andCurrent A.2. Converting Between Systems B. Brief Summary of ElementarySolutions to ShroDinger's Wave Eqation B.1. Free Particles (V=0) B.2.Piecewise Constatn Potentials in One Dimension B.3. Transmission--ReflectionProblems B.4. Simple Harmonic Oscillator B.5. The Central Force Problem(Spherically Symmetrical Potential V=V(r)] B.6. Hydrogen Atom