UC Davis Quantum Mechanics 115B: Recent Episodes

John Terning

lectures on Quantum Mechanics

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

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nuclear scattering, neutrino scattering, semiconductor doping

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

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scattering amplitude, integral Schoedinger equation

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NMR, quantum computing, classical scattering

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decay to the ground state and selection rules

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time dependent sinusoidal perturbations, quantum teleportation

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helium and the ionized hydrogen molecule

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spin-spin coupling and external electric fields

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

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bead on a wire, 3D harmonic oscillator

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

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linear and cubic perturbations of the simple harmonic oscillator

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

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

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white dwarfs continued, neutron stars, most probable configuration

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free electron gas, Fermi surface, white dwarfs

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identical particles, atoms, and the periodic table

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

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spin operators, Lamor precession, Stern-Gerlach revisited

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

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expectation values and hydrogen spectrum, angular momentum commutators

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solving the Schroedinger eq. for the hydrogen atom

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spherical harmonics, their eigenvalues, and the infinite spherical well

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separation of variables, particle in a box

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scattering from a screened doping ion and review

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Yukawa and Coulomb potentials, nuclear and neutrino cross sections

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Integral Schroedinger eq. and first Born Approximation

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NMR, quantum computing, classical scattering

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calculation of emission and absorption rates for a two level system

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hydrogen decay, slection rules, nuclear magnetic resonance

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Time dependent perturbations and electromagnetic waves interacting with quantum states

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helium and the ionized hydrogen molecule

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

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relativistic and spin orbit corrections

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midterm questions, perturbation of a 3D Harmonic Oscillator

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bead on a wire, 3D harmonic oscillator

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Time Independent, Non-degenerate Perturbations

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perturbations of a 1D harmonic oscillator

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

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

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Helium, the periodic table, free electron Fermi Surface

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

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adding together the spin of two spin half particles

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

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eigenvalues and eigenfunction of orbital angular momentum and spin review

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hydrogen wavefunctions and angular momentum commutators

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solving the Schroedinger eq. for the hydrogen atom

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

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3D Shroedinger equation applied to a particle in a box

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