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基本説明
初版邦訳：1989年・吉岡書店。ＵＣＬＡでの多年の講義に基づく、量子力学の核心を現代的立場からいきいきと描いたテキスト。
Full Description
This best-selling classic provides a graduate-level, non-historical, modern introduction of quantum mechanical concepts. The author, J. J. Sakurai, was a renowned theorist in particle theory. This revision by Jim Napolitano retains the original material and adds topics that extend the text's usefulness into the 21st century. The introduction of new material, and modification of existing material, appears in a way that better prepares the student for the next course in quantum field theory. Students will still find such classic developments as neutron interferometer experiments, Feynman path integrals, correlation measurements, and Bell's inequality. The style and treatment of topics is now more consistent across chapters. The Second Edition has been updated for currency and consistency across all topics and has been checked for the right amount of mathematical rigor.
Contents
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 of Basis 1.6. Position, Momentum, and Translation 1.7. Wave Functions in Position and Momentum Space 2. Quantum Dynamics 2.1. Time Evolution and the SchroDinger Equation 2.2. The SchroDinger Versus the Heisenberg Picture 2.3. Simple Harmonic Oscillator 2.4. SchroDinger's Wave Equation 2.5. Elementary Solutions to SchroDinger's Wave Equation 2.6. Propogators and Feynman Path Integrals 2.7. Potentials and Gauge Transformations 3. Theory of Angular Momentum 3.1. Rotations and Angular Momentum Commutation Relations 3.2. Spin 1 3.3. SO(e), SU(2), and Euler Rotations 3.4. Density Operators and Pure Versus Mixed Ensembles 3.5 Eigenvalues and Eigenstates of Angular Momentum 3.6. Orbital Angular Momentum 3.7. SchroDinger's Equation for Central Potentials 3.8 Addition of Angular Momenta 3.9. Schwinger's Oscillator Model of Angular Momentum 3.10. Spin Correlation Measurements and Bell's Inequality 3.11. Tensor Operators 4. Symmetry in Quantum Mechanics 4.1. Symmetries, Conservation Laws, and Degeneracies 4.2. Discrete Symmetries, Parity, or Space Inversion 4.3. Lattice Translation as a Discrete Symmetry 4.4. The Time-Reversal Discrete Symmetry 5. Approximation Methods 5.1. Time-Independent Perturbation Theory: Nondegenerate Case 5.2. Time-Independent Perturbation Theory: The Degenerate Case 5.3. Hydrogenlike Atoms: Fine Structure and the Zeeman Effect 5.4. Variational Methods 5.5. Time-Depedent Potentials: The Interaction Picture 5.6. Hamiltonians with Extreme Time Dependence 5.7. Time-Dependent Perturbation Theory 5.8. Applications to Interactions with the Classical Radiation Field 5.9 Energy Shift and Decay Width 6. Scattering Theory 6.1. Scattering as a Time-Dependent Perturbation 6.2 The Scattering Amplitude 6.3. The Born Approximation 6.4. Phase Shifts and Partial Waves 6.5. Eikonal Approximation 6.6. Low-Energy Scattering and Bound States 6.7. Resonance Scattering 6.8. Symmetry Considerations in Scattering 6.9 Inelastic Electron-Atom Scattering 7. Identical Particles 7.1. Permutation Symmetry 7.2. Symmetrization Postulate 7.3. Two-Electron System 7.4. The Helium Atom 7.5. Multi-Particle States 7.6. Quantization of the Electromagnetic Field 8. Relativistic Quantum Mechanics 331 8.1. Paths to Relativisitic Quantum Mechanics 8.2. The Dirac Equation 8.3. Symmetries of the Dirac Equation 8.4. Solving with a Central Potential 8.5. Relativistic Quantum Field Theory Appendices A. Electromagnetic Units A.1. Coulomb's Law, Charge, and Current A.2. Converting Between Systems B. Brief Summary of Elementary Solutions to ShroDinger's Wave Eqation B.1. Free Particles (V=0) B.2. Piecewise Constatn Potentials in One Dimension B.3. Transmission--Reflection Problems B.4. Simple Harmonic Oscillator B.5. The Central Force Problem (Spherically Symmetrical Potential V=V(r)] B.6. Hydrogen Atom
