University of Maryland - Exploring Quantum Physics 

Welcome and overview

Part I: Comments on studying QM

Part II: Pioneering Experiments

Part III: Pioneering Experiments (cont'd)

**Part IV: "Deriving" the Schrodinger Eq.

***Part V: Spreading of quantum wavepackets

Part I: Meaning of the wavefunction

***Part II: Continuity Equation

**Part III: Observables; Operators; Expectation Values

**Part IV: Time Independent Schrodinger Eq.

**Part V: Superposition; Dirac Notation; Representations

Homework 1

Part I: Introduction

**Part II: Propagator

***Part III: Derivation (difficult material, optional)

***Part IV: Derivation (cont'd) (difficult material, optional)

**Part I: Classical Limit

*Part II: Quantum corrections to diffusion

**Part III: Quantum corrections to diffusion; Localization (cont'd)

Homework 2

Homework 2 Bonus Questions (Ungraded)

*Part I: Electron in a Box

**Part II: Finite Potential Well

**Part III: Bound state in a 1D shallow potential

***Part IV: Bound states in a delta potential (any dimension)

Part I: The phenomenon of superconductivity

*Part II: Quantum Statistics

***Part III: Two-particle Schrodinger equation

**Part IV: The Cooper problem

Homework 3

Homework 3 Optional: time propagation of a wavepacket

Homework 3 Bonus Questions (Ungraded)

*Part I: Quantizing the classical oscillator

**Part II: Creation/annihilation operators

**Part III: Generating the energy spectrum

**Part IV: Harmonic oscillator wave-functions

Part I: Collective modes; Goldstone theorem

**Part II: Classical phonons in an oscillator chain

***Part III: Quantum oscillator chain

***Part IV: Deriving phonon spectrum; Bogoliubov transform (difficult material; optional)

Homework 4

Homework 4 Bonus Questions (Ungraded)

Part I: Introduction to optical spectra

Part II: Cracking the hydrogen code

Part III: Classical hydrogen atom: angular momentum

Part IV: Classical hydrogen atom: Runge-Lenz vector

Part I: The Bohr model of the atom

Part II: Applications of the Bohr Model

Part III: Simple constructive techniques

Part IV: Gaussians and the variational theorem

Homework 5

Homework 5 Bonus Questions (Ungraded)

Part I: Variational Estimates and Applications

Part II: Hydrogen atom: variational and virial theorems

Part III: Use of Special Functions

Part IV: The Bouncing Ball

Part I: Basic Properties of Angular Momentum Operators

Part II: Basic Commutation Relations

Part III: Angular Momentum as an Effective Potential

Part IV: Angular Momentum and Runge-Lenz Vector

Homework 6

Homework 6 Bonus Questions (Ungraded)

Part I: Rotation and Dipole Moments of Molecules

Part II: Atomic and Molecular Polarizabilities: Perturbation Theory

Part III: Atomic and Molecular Polarizabilities: Perturbation Theory (cont'd)

Part IV: Polarizability of the Hydrogen Atom

Part V: The Spectra of Hydrogen Isotopes

Part I: Introduction to gauge potentials - magnetic fields

Part II: Impossibility of magnetism in classical mechanics

Part III: The Dirac Equation - Basics

Part IV: The Dirac Equation - Spin

Part V: Spin and Antimatter in Material Systems

Homework 7

Homework 7 Bonus Questions (Ungraded)

Part I: Bose-Einstein condensation in theory

Part II. Bose-Einstein condensation in experiment

Part III. Degenerate Fermi-Dirac gases

Part IV. Current research in quantum gases

*Part I: Time-dependent Schrodinger Eq.; general remarks

**Part II: Sudden perturbations; quantum quenches

***Part III: Geometric Berry phase (difficult, advanced material - optional)

Final Exam Part 1 (Timed) (1 Attempt Only)

Final Exam Part 2 (Timed) (1 Attempt Only)

Bonus Questions (Ungraded)

**Part I: Zeeman Effect

**Part II: Stern-Gerlach Experiment

Part III: Spin Dynamics and LS Coupling

**Part IV: Spin Exchange and Magnetism

**Part V: Non-equilibrium Spin Injection