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I thought this lecture was lost but I found it!
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Wigner-Eckart theorem. Note: I previously thought I had lost the recording for PHYSICS739_AngularMomentum6, but I think I found it (it is on macvideo)
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Looked at general case of adding two angular momenta j1 and j2, and introduced the recursion method.
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Started studying the addition of angular momentum using the lowering operator method. Introduced direct sums and direct products of Hilbert spaces for the coupled and uncoupled bases, respectively.
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Completed Euler angles, started considering rotation operators for general values of j.
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Group theory of rotations: SO(3) versus SU(2). Started Euler angles.
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Finished slides on "What is a spin?"
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Finished off this part of the course by looking at harmonic perturbations and also 2nd order time-dependent perturbation theory. Started some slides on ``What is a spin?''
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Generalized our treatment of first order transitions to include a slow switch on of the perturbation.
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Showed how to find transition amplitudes from the Dyson series. Began analyzing 1st order perturbations constant in time except for being switched on at t=t0.
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Introduced the interaction picture
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Started perturbation theory. Gave example of quadratic Stark shift of ground state.
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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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We calculated the propagator for the simple harmonic oscillator using the Feynman path integral approach.
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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 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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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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Mixed states and the density operator. Taught by Wyatt Kirkby in 2021
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End of quantum cryptography + entanglement. Taught by Wyatt Kirkby in 2021
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Quantum cryptography. Taught by Wyatt Kirkby in 2021
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Variational principle. Taught by Wyatt Kirkby in 2021
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Hyperfine splitting. Taught by Wyatt Kirkby in 2021
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