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Discussed how to include electromagnetic fields in the Schrodinger equation and path integrals, and also covered the Aharonov-Bohm effect

Finished going through the Green's function slides and started looking at path integrals.

Introduced the propagator and began slides on Green's functions

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.

First class on the WKB approximation

1) Discussed the Heisenberg equation of motion applied to the simple harmonic oscillator 2) Discussed coherent states

Variational principle. Taught by Wyatt Kirkby in 2021

Finished L4IdenticalParticles and started L5IdenticalParticlesExchangeInteraction

Finished partial waves and began scattering phase shifts (L24ScatteringTheory4_Phase_shifts)

Finished the Born approximation and started partial waves (L23ScatteringTheory3_Partial_Waves)

Studied the Green's function approach to scattering theory (L21ScatteringTheory1)

Scattering theory: covered the basic setup of a scattering experiment, including the differential scattering cross-section, asymptotic wavefunction, and the scattering amplitude (L21ScatteringTheory1)

Studied the Aharonov-Bohm effect (as an example of a Berry phase) and thereby finished the slides on Berry's phase.

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…

Physics 4Q03 Lecture 16: This lecture provides a whirlwind review of Maxwell's equations and their solutions in terms of electromagnetic waves. This allows an introduction to gauge invariance…

Finished going through WKB connection formulae (L14WKBconnection)

Started the WKB approximation (L13WKB_approximation.pdf)

Finished slides QI6_Spins_and_Photons, started slides on Operators