Quantum Mechanics Lecture Notes

✍ Scribed by Robert G. Littlejohn

• Year: 2022
• Tongue: English
• Leaves: 1114
• Category: Library

✦ Synopsis

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 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