Course: Exploring Quantum Physics
Modules:
Welcome and overview, Part I: Comments on studying QM, Part II: Pioneering Experiments, Part III: Pioneering Experiments (cont'd), **Part IV: "Deriving" the Schrödinger 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 Schrödinger Eq., **Part V: Superposition; Dirac Notation; Representations
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)
*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 Schrödinger equation, **Part IV: The Cooper problem
*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)
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
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
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
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 Schrödinger 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