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First class on the WKB approximation
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1) Discussed the Heisenberg equation of motion applied to the simple harmonic oscillator 2) Discussed coherent states
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Finished going through the Green's function slides and started looking at path integrals.
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Introduced the propagator and began slides on Green's functions
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Discussed how to include electromagnetic fields in the Schrodinger equation and path integrals, and also covered the Aharonov-Bohm effect
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Discussed how to obtain the WKB connection formulae using both the transitional approximation and the complex method. Also applied the WKB method to quantize wave functions in various potential wells.
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Finished L4IdenticalParticles and started L5IdenticalParticlesExchangeInteraction
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Finished partial waves and began scattering phase shifts (L24ScatteringTheory4_Phase_shifts)
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Finished the Born approximation and started partial waves (L23ScatteringTheory3_Partial_Waves)
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Studied the Green's function approach to scattering theory (L21ScatteringTheory1)
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Scattering theory: covered the basic setup of a scattering experiment, including the differential scattering cross-section, asymptotic wavefunction, and the scattering amplitude (L21ScatteringTheory1)
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Studied the Aharonov-Bohm effect (as an example of a Berry phase) and thereby finished the slides on Berry's phase.
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Finished slides QI6_Spins_and_Photons, started slides on Operators
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Continued going through slides QI6_Spins_and_photons. Introduced Dirac notation.
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Went through the first slides in QI6_Spins_and_photons
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Finished class communication theory and started QI6_Spins_and_Photons
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Finished identical particle and started time-independent perturbation theory.
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Covered the exchange interaction and began discussion of quantum statistical mechanics
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Covered L4Identical particles
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Finished going through the slides L17T_dep_PT_part2 which included perturbations with harmonic time dependence, including the illumination of an atom by a laser. Started the next set of slides…
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Finished going through WKB connection formulae (L14WKBconnection)
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Started the WKB approximation (L13WKB_approximation.pdf)
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Variational principle. Taught by Wyatt Kirkby in 2021
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