[PDF] Quantum Mechanics Lecture Notes Robert G. Littlejohn

Physics 221AB Quantum Mechanics Fall 2021 and Spring 2022 University of California, Berkeley Table of contents : 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 E?ect in Hydrogen Notes 25 – Fine Structure in Hydrogen Notes 26 – The Zeeman E?ect in Hydrogen Notes 27 – Hyper?ne 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 E?ect 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