Search for tag: "momentum"


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)

From  DUNCAN O'DELL 8 plays 0  


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.

From  DUNCAN O'DELL 5 plays 0  


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

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Finished 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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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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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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Hyperfine splitting. Taught by Wyatt Kirkby in 2021

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The Zeeman effect. Taught by Wyatt Kirkby in 2021

From  DUNCAN O'DELL 14 plays 0  

28_Klein-Gordon Field and Lagrangians

Physics 4Q03 Lecture 28: This lecture applies the framework of relativistic quantum fields to the simplest case of a spinless particle and constructs the Klein Gordon hamiltonian and some of its…

From  Clifford Burgess 89 plays 0  


Finished partial waves and began scattering phase shifts (L24ScatteringTheory4_Phase_shifts)

From  DUNCAN O'DELL 5 plays 0  


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…

From  Clifford Burgess 84 plays 0  

26-Poincare Generators

Physics 4Q03 Lecture 26: This lecture works through how Poincare generators (4-momentum and the angular momentum tensor) transform in quantum relativity. A sketch is given of the argument for the…

From  Clifford Burgess 71 plays 0  


Finished the Born approximation and started partial waves (L23ScatteringTheory3_Partial_Waves)

From  DUNCAN O'DELL 3 plays 0  


Studied the Aharonov-Bohm effect (as an example of a Berry phase) and thereby finished the slides on Berry's phase.

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Finished selection rules (and thereby finished L17T_dep_PT_part3). Started new topic: adiabatic approximation (L18Adiabatic)

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Physics 4Q03 Lecture 18: This lecture continues the previous one on photons in electromagnetism, and provides a sermon about UV and IR divergences and why you can use any regularization you like to…

From  Clifford Burgess 39 plays 0  


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…

From  Clifford Burgess 48 plays 0  


Studied the WKB approximation for a particle in a potential well (L15WKB_potential_well)

From  DUNCAN O'DELL 11 plays 0  


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…

From  Clifford Burgess 58 plays 0  

14-Semiclassical BEC

Physics 4Q03 Lecture 14: This lecture continues the discussion of Bose Einstein condensation and shows how a semiclassical analysis can allow a calculation of the optimal density of condensed…

From  Clifford Burgess 45 plays 0