**Introduction to Quantum Mechanics II
Physics 3373 Syllabus**

**Three Static Approximation Methods**

Time-independent perturbation theory

Examples of time-independent perturbation theory

Aspects of degenerate perturbation theory

WKB semiclassical approximation

Use of WKB approximation in barrier penetration

Use of WKB approximation in bound states

Variational methods

**The Three-Dimensional Radial Equation**

Recap of the situation

The free particle

The infinite spherical well potential

The “deuteron” (finite potential well)

The Coulomb potential-initial considerations

The Coulomb potential-2D harmonic oscillator comparison

The “Confined Coulombic Model”

**Addition of Angular Momenta**

General angular momentum eigenstate properties

Combining angular momenta for two systems

Explicit example of adding two spin 1/2 systems

Explicit example of adding orbital angular momentum and spin 1/2

Hydrogen atoms and the choice of basis states

Hydrogen atom and perturbative energy shifts

**Time-Dependent Systems**

Time-dependent potentials

Sudden and slow quantum transitions

Two-state problems

The Berry phase

Magnetic spin resonance and the geometrical phase

The Aharonov-Bohm effect

Time-dependent perturbation theory and transitions

Applications of Fermi’s Golden Rule

Exponential time decay and decay widths

**Quantum Particle Scattering**

The one-dimensional integral Schrodinger equation

Reflection and transition amplitudes

One-dimensional delta-function scattering

Step-function potential scatterimng

The Born series

The three-dimensional integral Schrodinger equation

The Helmholtz equation and plane waves

Cross sections and the scattering amplitude

Scattering phase shifts

Finite-trange potential scattering

The three-dimensional Born series

Identical particle scattering

Proton-proton scattering

**Connecting to the Standard Model**

Discrete Symmetries

Parity

Time Reversal

Charge Conjugation

Particle primer

Particle interactions

Quantum electrodynamics

Quantum chromodynamics

Weak Interactions

Supersymmetry

Superstrings

Postlude

**Appendix G: Quantum Computing**