Syllabus for Quantum Mechanics

Review
Spin
Quantum Mechanics in 3D
- Shrodinger Eq, in Spherical Coordinates
- Hydrogen Atom
- Angular Momentum
- Spin revisited
- Clebsch-Gordan Coefficients
Identical Particles
- Two Particle Systems
- Identical Bosons and Fermions
- Atoms
- Fermi Energy
- Quantum Statistical Mechanics
Time-Independent Perturbation Theory
- Nondegenerate
- Degenerate
- Fine structure
- Zeeman effect
- Hyperfine Splitting
Variational Method
- bounding the ground state energy
- Hydrogen molecule ion
Time-dependent Perturbation Theory
- Two-level Systems
- Emission and Absorption of Radiation
- Spontaneous Emission
Scattering
- Partial Wave Analysis
- Phase Shifts
- Born Approximation

Stephen Hawking used Quantum Effects to show that over a long enough period of time black holes will radiate away. How does Hawking Radiation work?

Since electrons can only orbit the nucleus of an atom in certain energy levels, what happens when an electron moves from one energy level to the next? Is there a moment in time when the electron is traveling between these different shells or energy levels?

How do quantum computers work?

A Neutron star is supposedly made up entirely of (surprise) Neutrons. How is this possible?

Could you explain how the Many-worlds theory works--in particular, how by denying the collapse of the wave function, we are led to a theory in which every outcome exists?