Notes for lecture seriesPhysics 221AAcademic Year 2021–22Notes 1The Mathematical Formalism of Quantum Mechanics Notes 1 - The Mathematical Formalism of Quantum Mechanics Notes 2 - The Postulates of Quantum Mechanics Notes 3 - The Density Operator Notes 4 - Spatial Degrees of Freedom Notes 5 - Time Evolution in Quantum Mechanics Notes 6 - Topics in One-Dimensional Wave Mechanics Notes 7 - The WKB Method Notes 8 - Harmonic Oscillators and Coherent States Notes 9 - The Propagator and the Path Integral Notes 10 - Charged Particles in Magnetic Fields Notes 11 - Rotations in 3-Dimensional Space Notes 12 - Rotations in Quantum Mechanics, and Notes 13 - Representations of the Angular Momentum Operators Notes 14 - Spins in Magnetic Fields Notes 15 - Orbital Angular Momentum and Spherical Harmonics Notes 16 - Central Force Motion Notes 17 - Hydrogen and Hydrogen-Like Atoms Notes 18 - Coupling of Ket Spaces and the Addition of Angular Momenta Notes 19 - Transformation of Operators Under Rotations Notes 20 - The Wigner-Eckart Theorem Notes 21 - Parity Notes 22 - Time Reversal Notes 23 - Bound-State Perturbation Theory Notes 24 - The Stark Effect in Hydrogen Notes 25 - Fine Structure in Hydrogen Notes 26 - The Zeeman Effect in Hydrogen Notes 27 - Hyperfine Structure in Atoms Notes 28 - The Variational Method Notes 29 - Identical Particles Notes 30 - Helium and Helium-like Atoms Notes 31 - The Thomas-Fermi Model Notes 32 - The Hartree-Fock Method in Atoms Notes 33 - Elements of Atomic Structure Notes 34 - Time-Dependent Perturbation Theory Notes 35 - The Photoelectric Effect Notes 36 - Introduction to Time-Independent Scattering Theory Notes 37 - Green’s Functions in Quantum Mechanics Notes 38 - The Lippmann-Schwinger Equation and Notes 39 - Adiabatic Invariance, the Geometric Phase, Notes 40 - The Classical Electromagnetic Field Hamiltonian Notes 41 - The Quantized Electromagnetic Field Notes 42 - Emission and Absorption of Radiation Notes 43 - Scattering of Radiation by Matter Notes 44 - Natural Line Width, Long-Time Behavior and the Lamb Shift Notes 45 - Introduction to Relativistic Quantum Mechanics Notes 46 - Introduction to the Dirac Equation Notes 47 - Lorentz Transformations in Special Relativity Notes 48 - Covariance of the Dirac Equation Notes 49 - The Foldy-Wouthuysen Transformation Notes 50 - Solutions of the Dirac Equation and Their Properties Notes 51 - Hole Theory and Second Quantization of the Dirac Equation Notes 52 - Electromagnetic Interactions With the Dirac Field Appendix A - Gaussian, SI and Other Systems of Units Appendix B - Classical Mechanics Appendix C - Gaussian Integrals Appendix D - Vector Calculus Appendix E - Introduction to Tensor Analysis Physics 221AB Quantum Mechanics Fall 2021 and Spring 2022 University of California, Berkeley
