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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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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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Finished slides on "What is a spin?"
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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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Discussed how to include electromagnetic fields in the Schrodinger equation and path integrals, and also covered the Aharonov-Bohm effect
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Introduced the propagator and began slides on Green's functions
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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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Finished L4IdenticalParticles and started L5IdenticalParticlesExchangeInteraction
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Physics 4Q03 Lecture 25: This lecture finishes the general review of special relativity in terms of 4-vectors and reviews the treatment of symmetry in quantum mechanics.
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Started quantum gates (QI18_Quantum_gates)
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Physics 4Q03 Lecture 17: This lecture continues the discussion of quantizing the electromagnetic fields and shows how field energy and momentum can be written in terms of photon creation and…
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Started and finished quantum dense coding (QI15_Quantum_dense_coding)
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Started time-dependent perturbation theory (L16T_dep_PT_part1)
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Physics 4Q03 Lecture 15: This lecture describes the leading corrections to the classical BEC, using a Bogoliubov transformation to identify the spectrum of quasiparticle fluctuations about the…
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Physics 4Q03 Lecture 12: This lecture summarizes the position space formalism of the previous lecture and introduces simple self-interactions.
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Finished density operator slides (QI11_Density_Operator) and started the slides on local measurements (QI12_Local_Measurements)
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Went through the ``projector method'' for quantum measurement calculations (QI11_Density_Operator)
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