Lecture Notes from PHYS623 - Graduate Quantum Mechanics II, as taught by Dr. Ted Jacobson in the Spring, 2016 semester.

Lecture 1 (01/28/16): Introduction & Symmetry
- Hermitian Operator Review
- Symmetry (Parity)

Lecture 2 (02/02/16): Kinds of Symmetry
- Rotation Symmetry
- Translation Symmetry
- Discrete Translation Symmetry
- Time-Reversal Symmetry

Lecture 3 (02/04/16): Time-Independent Perturbation Theory
- First-Order Non-Degenerate Energy Correction
- Anharmonic Oscillator
- Degenerate Energy Correction
- First-Order Secular Equation
- Second-Order Secular Equation

Lecture 4 (02/09/16): Relativistic Correction of Schrodinger's Equation
- Non-Degenerate Energy Perturbation
- Second-Order Secular Equation
- Non-Lorentz-Invariant Schrodinger Equation
- Dirac's Correction to Einstein's Equation

Lecture 5 (02/11/16): Sizes of Relativistic Corrections
- Dirac's Correction to Velocity
- Kinetic Energy Correction
- Spin-Orbit Correction

Lecture 6 (02/16/16): Fine Structure Corrections
- Level Splitting
- The Lamb Shift
- Hyperfine Splitting

Lecture 7 (02/18/16): Stark & Zeeman Effects
- Hyperfine Structure
- The Stark Effect
- Degenerate Perturbation in Excited States
- The Zeeman Effect

Lecture 8 (02/23/16): Projection Theorem
- The Zeeman Effect
- Vector Operators
- Projection Theorem

Lecture 9 (02/25/16): Selection Rules & Wigner-Eckart Theorem
- Projection Theorem
- Selection Rules
- Wigner-Eckart Theorem

Lecture 10 (03/01/16): Variational Method
- The Variational Method
- Identical Particles
- Pauli Exclusion Principle
- Fermi Pressure

Lecture 11 (03/03/16): Exchange "Forces"
- Identical Particles
- Exchange Interaction
- Applying Variational Principle

-----------------------------------------------------------------------------

Supplemental Notes from PHYS402 - Quantum Mechanics II, as taught by Dr. Paulo Bedaque in the Fall, 2012 semester.

Supplement 1 (11/28/12): Scattering
- Classical Scattering
- Scattering Cross-Section
- ex. Classical Hard Sphere
- Quantum Scattering

Supplement 2 (11/30/12): Scattering & the Born Approximation
- Luminosity
- Solving the TISE
- Born Approximation for Small Potentials
- Green's Functions

Supplement 3 (12/03/12): Born Approximation
- Conditions for Approximation
- Green's Functions Solution
- Momentum Transfer

Supplement 4 (12/05/12): Born Approximation & Partial Wave Analysis
- Scattering Amplitude
- ex. Soft Sphere
- Partial Wave Analysis
- Boundary Conditions on Partial Wave Components
- Unitarity Bound

Supplement 5 (12/07/12): Partial Wave Analysis
- Solution for the 1D-Schrodinger Equation
- ex. Hard Sphere
- ex. Soft Sphere (S-wave)