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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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Mixed states and the density operator. Taught by Wyatt Kirkby in 2021
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Hyperfine splitting. Taught by Wyatt Kirkby in 2021
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The Zeeman effect. Taught by Wyatt Kirkby in 2021
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Finished L4IdenticalParticles and started L5IdenticalParticlesExchangeInteraction
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Physics 4Q03 Lecture 27: This lecture describes the logic that determines which fields can be used to represent particles of different spins, and describes the requirement of microcausality and why…
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Worked through an example of Berry's phase: a spin in a rotating magnetic field (L20BerryPhase)
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Finished the slides on the adiabatic approximation (L18Adiabatic)
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Derived 1st order time-dependent perturbation theory (L16T_dep_PT_part1)
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Started time-dependent perturbation theory (L16T_dep_PT_part1)
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Finished Fine structure (L9Fine_structure)
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Finished the set of slides on Operators (covered the rotation operator, Pauli spin matrices, the Schrodinger equation)
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Finished slides L8DegeneratePerturbationTheory and started applications of perturbation theory in atomic physics (fine structure)
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Covered the exchange interaction and began discussion of quantum statistical mechanics
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Finished class communication theory and started QI6_Spins_and_Photons
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Covered L4Identical particles
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Finished addition of angular momentum. Started L4identical particles.
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Operator approach to angular momentum. Started addition of angular momentum.
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Went through 2nd half of "What is a Quantum Spin" slides
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An introduction to the physics of magnetic resonance imaging.
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