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PHYSICS739_AngularMomentum6

I thought this lecture was lost but I found it!

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PHYSICS739_AngularMomentum7

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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PHYSICS739_AngularMomentum5

Looked at general case of adding two angular momenta j1 and j2, and introduced the recursion method.

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PHYSICS739_AngularMomentum4

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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PHYSICS739_AngularMomentum3

Completed Euler angles, started considering rotation operators for general values of j.

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PHYSICS739_AngularMomentum2

Group theory of rotations: SO(3) versus SU(2). Started Euler angles.

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PHYS739_AngularMomentum1

Finished slides on "What is a spin?"

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PHYS739_approximation_Methods5

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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PHYS739_approximation_Methods4

Generalized our treatment of first order transitions to include a slow switch on of the perturbation.

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PHYSICS739_approximation_Methods3

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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PHYSICS739_approximation_Methods2

Introduced the interaction picture

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PHYS739_Approximation_Methods1

Started perturbation theory. Gave example of quadratic Stark shift of ground state.

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PHYSICS739_ElectromagneticFields

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

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PHYS739_Propagator3

We calculated the propagator for the simple harmonic oscillator using the Feynman path integral approach.

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PHYSICS739_Propagator2

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

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PHYSICS739_Propagator

Introduced the propagator and began slides on Green's functions

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PHYSIC739_WKB2_connection

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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PHYSICS739_WKB1

First class on the WKB approximation

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PHYSICS739_SHO_HeisenbergEoM&CoherentStates

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

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PHYS3QI3_class15

Mixed states and the density operator. Taught by Wyatt Kirkby in 2021

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PHYS3QI3_class14

End of quantum cryptography + entanglement. Taught by Wyatt Kirkby in 2021

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PHYS3QI3_class13

Quantum cryptography. Taught by Wyatt Kirkby in 2021

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PHYS-4F03-class15

Variational principle. Taught by Wyatt Kirkby in 2021

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PHYS-4F03-class14

Hyperfine splitting. Taught by Wyatt Kirkby in 2021

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