By John Terning
lectures on Quantum Mechanics
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
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
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
Time Independent, Non-degenerate Perturbations
perturbations of a 1D harmonic oscillator
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
spherical harmonics are found to be eigenfunctions of L^2 and L_z
3D Shroedinger equation applied to a particle in a box