UC Davis Quantum Mechanics 115B

mean free path in doped semiconductor, lifetime of hyperfine split state, review

nuclear scattering, neutrino scattering, semiconductor doping

integral Schroedinger eq. for hydrogen, first Born approx., Yukawa potential

scattering amplitude, integral Schoedinger equation

NMR, quantum computing, classical scattering

decay to the ground state and selection rules

time dependent sinusoidal perturbations, quantum teleportation

helium and the ionized hydrogen molecule

spin-spin coupling and external electric fields

relativistic and spin orbit corrections, relativistic effects in gold and mercury, the problem with quantum gravity

bead on a wire, 3D harmonic oscillator

helium revisited, two-fold degeneracy, and a short-cut

linear and cubic perturbations of the simple harmonic oscillator

time-independent, non-degenerate, perturbation theory, delta function perturbation of a square well

Fermi-Dirac, Bose-Einstein distributions, expansion rate of the Universe, black body spectrum, Bose condensation

white dwarfs continued, neutron stars, most probable configuration

free electron gas, Fermi surface, white dwarfs

identical particles, atoms, and the periodic table

adding together the spin of two spin half particles, Clebsch-Gordan coefficients

spin operators, Lamor precession, Stern-Gerlach revisited

Angular Momentum: raising and lowering operators, eigenvalues, diatomic molecule

expectation values and hydrogen spectrum, angular momentum commutators

solving the Schroedinger eq. for the hydrogen atom

spherical harmonics, their eigenvalues, and the infinite spherical well

separation of variables, particle in a box

scattering from a screened doping ion and review

Yukawa and Coulomb potentials, nuclear and neutrino cross sections

Integral Schroedinger eq. and first Born Approximation

NMR, quantum computing, classical scattering

calculation of emission and absorption rates for a two level system

hydrogen decay, slection rules, nuclear magnetic resonance

Time dependent perturbations and electromagnetic waves interacting with quantum states

helium and the ionized hydrogen molecule

source of the 21 cm line, hydrogen atom in an electric field

relativistic and spin orbit corrections

midterm questions, perturbation of a 3D Harmonic Oscillator

bead on a wire, 3D harmonic oscillator

Time Independent, Non-degenerate Perturbations

perturbations of a 1D harmonic oscillator

Fermi-Dirac, Bose-Einstein distributions, expansion rate of the Universe, black body spectrum, Bose condensation

white dwarfs, nuetrons stars, Quantum Statistical Mechanics for fermions and bosons

Helium, the periodic table, free electron Fermi Surface

combining angular momenta, calculating Clebsch-Gordan coefficients, identical particles

adding together the spin of two spin half particles

matrices for spin one half, Larmor precession, Stern-Gerlach

eigenvalues and eigenfunction of orbital angular momentum and spin review

hydrogen wavefunctions and angular momentum commutators

solving the Schroedinger eq. for the hydrogen atom

spherical harmonics are found to be eigenfunctions of L^2 and L_z

3D Shroedinger equation applied to a particle in a box

Review of the postulates of quantum mechanics, discussion of the Stern-Gerlach experiment