Wave mechanics(泡利物理学讲义:波动力学)

Foreword by Victor F. Weisskopf Preface by the Editor Preface by the Students Introduction Part 1. Wave Functions of Force-Free ParticlesAssociation of Waves with Particles The Wave Function and Wave Equation The Uncertainty Principle Wave Packets and the Mechanics of Point Particles. Probability Density Measuring Arrangements. Discussion of Examples Classical Statistics and Quantum StatisticsPart 2. Description of a Particle in a Box and in Free SpaceOne Particle in a Box. The Equation of Continuity Normalization in the Continuum. The Dirac δ-Function The Completeness Relation. Expansion Theorem Initial-Value Problem and the Fundamental SolutionPart 3. Particle in a Field of ForceThe Hamiltonian Operator Hermitian Operators Expectation Values and the Classical Equation of Motion. Commutation Relations (Commutators)Part 4. More than One ParticleMore than One ParticlePart 5. Eigenvalue Problems. Functions of Mathematical PhysicsThe Linear Harmonic Oscillator. Hermite Polynomials Matrix Calculus Illustrated with the Linear Harmonic Oscillator The Harmonic Oscillator in a Plane. Degeneracy The Hydrogen AtomPart 6. Collision ProcessesAsymptotic Solution of the Scattering Problem The Scattering Cross Section. The Rutherford Scattering Formula Solution of the Force-Free Wave Equation Expansion of a Plane Wave in Legendre Polynomials Solution of the Schrödinger Equation with an Arbitrary Central Potential The Born Approximation Scattering of Low-Energy ParticlesPart 7. Approximate Methods for Solving the Wave EquationEigenvalue Problem of a Particle in a Uniform Field The WKB MethodPart 8. Matrices and Operators. Perturbation TheoryGeneral Relationship Between Matrices and Operators. Transformation Theory General Formalism of Perturbation Theory in the Matrix Representation Time-Dependent PerturbationPart 9. Angular Momentum and SpinGeneral Commutation Relations Matrix Elements of the Angular Momentum Spin Spinors and Space RotationsPart 10. Identical Particles with SpinSymmetry Classes The Exclusion Principle The Helium Atom Collision of Two Identical Particles: Mott's Theory The Statistics of Nuclear SpinsPart 11. ExercisesFundamental Solution for Interval Bound States and Tunnel Effect Kronig-Penney Potential Spherical Harmonics Fundamental Solution for Harmonic Oscillator Angular Momentum Partial Waves The Symmetrical TopBibliography Appendix. Comments by the Editor Index