Quantenmechanik in Bildern

Trajectories for Simple Examples.- 7.7 Relation to Bohm's Equation of Motion.- 8 Coupled Harmonic Oscillators: Distinguishable Particles.- 8.1 The Two-Particle Wave Function.- 8.2 Coupled Harmonic Oscillators.- 8.3 Stationary States.- 9 Coupled Harmonic Oscillators: Indistinguishable Particles.- 9.1 The Two-Particle Wave Function for Indistinguishable Particles.- 9.2 Stationary States.- 9.3 Motion of Wave Packets.- 9.4 Indistinguishable Particles from a Classical Point of View.- 10 Wave Packet in Three Dimensions.- 10.1 Momentum.- 10.2 Quantile Motion, Probability Transport.- 10.3 Angular Momentum, Spherical Harmonics.- 10.4 Means and Variances of the Components of Angular Momentum.- 10.5 Interpretation of the Eigenfunctions of Angular Momentum.- 10.6 Schrödinger Equation.- 10.7 Solution of the Schrödinger Equation of Free Motion.- 10.8 Spherical Bessel Functions.- 10.9 Harmonic Plane Wave in Angular-Momentum Representationo.- 10.10 Free Wave Packet and Partial-Wave Decomposition.- 11 Solution of the Schrödinger Equation in Three Dimensions.- 11.1 Stationary Scattering Solutions.- 11.2 Stationary Bound States.- 12 Three-Dimensional Quantum Mechanics: Scattering by a Potential.- 12.1 Diffraction of a Harmonic Plane Wave. Partial Waves.- 12.2 Scattered Wave and Scattering Cross Section.- 12.3 Scattering Phase and Amplitude, Unitarity, Argand Diagrams.- 13 Three-Dimensional Quantum Mechanics: Bound States.- 13.1 Bound States in a Spherical Square-Well Potential.- 13.2 Bound States of the Spherically Symmetric Harmonic Oscillator.- 13.3 Harmonic Particle Motion in Three Dimensions.- 13.4 The Hydrogen Atom.- 13.5 Kepler Motion in Quantum Mechanics.- 14 Three-Dimensional Quantum Mechanics: Resonance Scattering.- 14.1 Scattering by Attractive Potentials.- 14.2 Resonance Scattering.- 14.3 Phase-Shift Analysis.- 14.4 Bound States and Resonances.- 14.5 Resonance Scattering by a Repulsive Shell.- 15 Coulomb Scattering.- 15.1 Stationary Solutions.- 15.2 Hyperbolic Kepler Motion: Scattering of a Gaussian Wave Packet by a Coulomb Potential.- 16 Spin.- 16.1 Spin States, Operators and Eigenvalues.- 16.2 Directional Distribution of Spin.- 16.3 Motion of Magnetic Moments in a Magnetic Field. Pauli Equation.- 16.4 Magnetic Resonance. Rabi's Formula.- 16.5 Magnetic Resonance in a Rotating Frame of Reference.- 17 Examples from Experiment.- 17.1 Scattering of Atoms, Electrons, Neutrons, and Pions.- 17.2 Spectra of Bound States in Atoms, Nuclei, and Crystals.- 17.3 Shell-Model Classification of Atoms and Nuclei, and Particles.- 17.4 Resonance Scattering off Molecules, Atoms, Nuclei, and particles.- 17.5 Phase-Shift Analysis in Nuclear and Particle Physics.- 17.6 Classification of Resonances on Regge Trajectories.- 17.7 Radioactive Nuclei as Metastable States.- 17.8 Magnetic-Resonance Experiments.- A Simple Aspects of the Structure of Quantum Mechanics.- A.1 Wave Mechanics.- A.2 Matrix Mechanics in an Infinite Vector Space.- A.3 Matrix Representation of the Harmonic Oscillator.- A.4 Time-Dependent Schrödinger Equation.- A.5 Probability Interpretation.- B Two-Level System.- C Analyzing Amplitude.- C.1 Classical Considerations: Phase-Space Analysis.- C.2 Analyzing Amplitude: Free Particle.- C.3 Analyzing Amplitude: General Case.- C.4 Analyzing Amplitude: Harmonic Oscillator.- D Wigner Distribution.- E Gamma Function.- F Bessel Functions and Airy Functions.- G Poisson Distribution.