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Quantum Behavior
Atomic mechanics An experiment with bullets An experiment with waves An experiment with electrons The interference of electron waves Watching the electrons First principles of quantum mechanics The uncertainty principle The Relation of Wave and Particle Viewpoints Probability wave amplitudes Measurement of position and momentum Crystal diffraction The size of an atom Energy levels Philosophical implications Probability Amplitudes The laws of combining amplitudes The two-slit interference pattern Scattering from a crystal Identical particles Identical Particles Bose particles and Fermi particles States with two Bose particles States with n Bose particles Emission and absorption of photons The blackbody spectrum Liquid helium The exclusion principle Spin One Filtering atoms with a Stern-Gerlach apparatus Experiments with filtered atoms Stern-Gerlach filters in series Base states Interfering amplitudes The machinery of quantum mechanics Transforming to a different base Other situations Spin One-Half Transforming amplitudes Transforming to a rotated coordinate system Rotations about the z-axis Rotations of 180° and 90° about y Rotations about x Arbitrary rotations The Dependence of Amplitudes on Time Atoms at rest; stationary states Uniform motion Potential energy; energy conservation Forces; the classical limit The ``precession'' of a spin one-half particle The Hamiltonian Matrix Amplitudes and vectors Resolving state vectors What are the base states of the world? How states change with time The Hamiltonian matrix The ammonia molecule The Ammonia Maser The states of an ammonia molecule The molecule in a static electric field Transitions in a time-dependent field Transitions at resonance Transitions off resonance The absorption of light Other Two-State Systems The hydrogen molecular ion Nuclear forces The hydrogen molecule The benzene molecule Dyes The Hamiltonian of a spin one-half particle in a magnetic field The spinning electrons in a magnetic field More Two-State Systems The Pauli spin matrices The spin matrices as operators The solution of the two-state equations The polarization states of the photon The neutral K-meson Generalization to N-state systems The Hyperfine Splitting in Hydrogen Base states for a system with two spin one-half particles The Hamiltonian for the ground state of hydrogen The energy levels The Zeeman splitting The states in a magnetic field The projection matrix for spin one Propagation in a Crystal Lattice States for an electron in a one-dimensional lattice States of definite energy Time-dependent states An electron in a three-dimensional lattice Other states in a lattice Scattering by imperfections in the lattice Trapping by a lattice imperfection Scattering amplitudes and bound states Semiconductors Electrons and holes in semiconductors Impure semiconductors The Hall effect Semiconductor junctions Rectification at a semiconductor junction The transistor The Independent Particle Approximation Spin waves Two spin waves Independent particles The benzene molecule More organic chemistry Other uses of the approximation The Dependence of Amplitudes on Position Amplitudes on a line The wave function States of definite momentum Normalization of the states in x The Schrodinger equation Quantized energy levels Symmetry and Conservation Laws Symmetry Symmetry and conservation The conservation laws Polarized light The distintegration of the λ Summary of the rotation matrices Angular Momentum Electric dipole radiation Light scattering The annihilation of positronium Rotation matrix for any spin Measuring a nuclear spin Composition of angular momentum Added Note 1: Derivation of the rotation matrix Added Note 2: Conservation of parity in photon emission The Hydrogen Atom and The Periodic Table Schrodinger's equation for the hydrogen atom Spherically symmetric solutions States with an angular dependence The general solution for hydrogen The hydrogen wave functions The periodic table Operators Operations and operators Average energies The average energy of an atom The position operator The momentum operator Angular momentum The change of averages with time The Schrodinger Equation in a Classical Context: A Seminar on Superconductivity Schrodinger's equation in a magnetic field The equation of continuity for probabilities Two kinds of momentum The meaning of the wave function Superconductivity The Meissner effect Flux quantization The dynamics of superconductivity The Josephson junction Feynman's Epilogue Appendix Index |