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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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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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Introduced the interaction picture
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We calculated the propagator for the simple harmonic oscillator using the Feynman path integral approach.
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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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Quantum cryptography. Taught by Wyatt Kirkby in 2021
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