Search for tag: "momentum"

61 Media

PHYSICS739_AngularMomentum7 duration 1 hour 19 minutes PHYSICS739_AngularMomentum7 PHYSICS739_AngularMomentum7	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) matrix minus thing vector rotation elements operator momentum element epsilon things charge events basis bar axis guy fact selection operators From DUNCAN O'DELL 8 plays 0 Usage Rights None (All Rights Reserved)
PHYSICS739_AngularMomentum4 duration 1 hour 32 minutes PHYSICS739_AngularMomentum4 PHYSICS739_AngularMomentum4	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. minus space thing basis momentum components matrix operator times things values s1 spin notation total subspace operators bar j. elements From DUNCAN O'DELL 5 plays 0 Usage Rights None (All Rights Reserved)
PHYSICS739_AngularMomentum3 duration 1 hour 19 minutes PHYSICS739_AngularMomentum3 PHYSICS739_AngularMomentum3	PHYSICS739_AngularMomentum3 Completed Euler angles, started considering rotation operators for general values of j. rotation axis matrix space minus thing prime things axes spin alpha rotations mechanics momentum half elements gamma j. matrices beta From DUNCAN O'DELL 5 plays 0 Usage Rights None (All Rights Reserved)
PHYS739_AngularMomentum1 duration 1 hour 24 minutes PHYS739_AngularMomentum1 PHYS739_AngularMomentum1	PHYS739_AngularMomentum1 Finished slides on "What is a spin?" spin thing matrix direction momentum basis particle mechanics operator bar space theory times field things axis identity electron angle components From DUNCAN O'DELL 2 plays 0 Usage Rights None (All Rights Reserved)
PHYS739_approximation_Methods4 duration 1 hour 33 minutes PHYS739_approximation_Methods4 PHYS739_approximation_Methods4	PHYS739_approximation_Methods4 Generalized our treatment of first order transitions to include a slow switch on of the perturbation. energy function times things thing bar width delta particle nucleus size momentum probability rate density omega box energies transition angle From DUNCAN O'DELL 2 plays 0 Usage Rights None (All Rights Reserved)
PHYSICS739_approximation_Methods2 duration 1 hour 27 minutes PHYSICS739_approximation_Methods2 PHYSICS739_approximation_Methods2	PHYSICS739_approximation_Methods2 Introduced the interaction picture picture perturbation schrodinger equation interaction evolution energy matrix symmetry operator momentum hamiltonian thing minus hydrogen ground operators things theory problem From DUNCAN O'DELL 0 plays 0 Usage Rights None (All Rights Reserved)
PHYS739_Approximation_Methods1 duration 1 hour 20 minutes PHYS739_Approximation_Methods1 PHYS739_Approximation_Methods1	PHYS739_Approximation_Methods1 Started perturbation theory. Gave example of quadratic Stark shift of ground state. levels perturbation energy ground degenerate matrix theory subspace problem correction things eigenvectors field contribution momentum idea thing bunch term polarizability From DUNCAN O'DELL 1 plays 0 Usage Rights None (All Rights Reserved)
PHYSICS739_ElectromagneticFields duration 1 hour 37 minutes PHYSICS739_ElectromagneticFields PHYSICS739_ElectromagneticFields	PHYSICS739_ElectromagneticFields Discussed how to include electromagnetic fields in the Schrodinger equation and path integrals, and also covered the Aharonov-Bohm effect mechanics field things function vector thing fields momentum position gauge flux potential path wave motion respect loop transformations operator times From DUNCAN O'DELL 1 plays 0 Usage Rights None (All Rights Reserved)
PHYSIC739_WKB2_connection duration 1 hour 19 minutes PHYSIC739_WKB2_connection PHYSIC739_WKB2_connection	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. solution point side function turning factor wave problem hand minus phase solutions pi things energy equation functions thing cosine momentum From DUNCAN O'DELL 0 plays 0 Usage Rights None (All Rights Reserved)
PHYSICS739_WKB1 duration 1 hour 21 minutes PHYSICS739_WKB1 PHYSICS739_WKB1	PHYSICS739_WKB1 First class on the WKB approximation function equation bar energy wave term potential series wavelength things factor root solution thing point schrodinger approximation expression momentum times From DUNCAN O'DELL 3 plays 0 Usage Rights None (All Rights Reserved)
PHYS-4F03-class14 duration 40 minutes 55 seconds PHYS-4F03-class14 PHYS-4F03-class14	PHYS-4F03-class14 Hyperfine splitting. Taught by Wyatt Kirkby in 2021 perturbation bit thing theory electron spin eigenstates choice lambda field proton hamiltonian momentum values problem things structure hydrogen idea basis From DUNCAN O'DELL 3 plays 0
PHYS-4F03-class13 duration 36 minutes 26 seconds PHYS-4F03-class13 PHYS-4F03-class13	PHYS-4F03-class13 The Zeeman effect. Taught by Wyatt Kirkby in 2021 field perturbation energy spin thing question alpha theory bit levels hamiltonian basis kind momentum orbit electron coupling structure effect argument From DUNCAN O'DELL 14 plays 0
28_Klein-Gordon Field and Lagrangians duration 1 hour 19 minutes 28_Klein-Gordon Field and Lagrangians 28_Klein-Gordon Field and Lagrangians	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… phi star particle hamiltonian thing particles energy momentum things field times bar factor function equation term space commutator schrodinger interaction From Clifford Burgess 89 plays 0
PHYS4F03_class34 duration 54 minutes 3 seconds PHYS4F03_class34 PHYS4F03_class34	PHYS4F03_class34 Finished partial waves and began scattering phase shifts (L24ScatteringTheory4_Phase_shifts) wave potential waves scattering form function expression sum term factor momentum energy zone problem functions plane solution cross sphere thing From DUNCAN O'DELL 5 plays 0
27-Microcausality duration 1 hour 22 minutes 27-Microcausality 27-Microcausality	27-Microcausality 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… lambda transformations particle lorentz field transformation phi matrix thing inverse spin particles star times space representations fields invariant momentum function From Clifford Burgess 84 plays 0
26-Poincare Generators duration 1 hour 15 minutes 26-Poincare Generators 26-Poincare Generators	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… transformations lambda transformation thing omega alpha times matrix things lorentz inverse beta mu space hamiltonian theta epsilon multiplication bar momentum From Clifford Burgess 71 plays 0
PHYS4F03_class33 duration 53 minutes 5 seconds PHYS4F03_class33 PHYS4F03_class33	PHYS4F03_class33 Finished the Born approximation and started partial waves (L23ScatteringTheory3_Partial_Waves) wave scattering potential momentum problem plane approximation function energy equation solution field particles theory direction functions amplitude waves form things From DUNCAN O'DELL 3 plays 0
PHYS4F03_class29 duration 40 minutes 46 seconds PHYS4F03_class29 PHYS4F03_class29	PHYS4F03_class29 Studied the Aharonov-Bohm effect (as an example of a Berry phase) and thereby finished the slides on Berry's phase. field solenoid phase potential path vector flux thing effect wave fields phi mechanics berry electromagnetism electrons rho momentum fact row From DUNCAN O'DELL 4 plays 0
PHYS-4F03-class25 duration 51 minutes 26 seconds PHYS-4F03-class25 PHYS-4F03-class25	PHYS-4F03-class25 Finished selection rules (and thereby finished L17T_dep_PT_part3). Started new topic: adiabatic approximation (L18Adiabatic) energy momentum box sort fact matrix levels function transition delta change schrodinger approximation harmonics epsilon element atom equation minus ground From DUNCAN O'DELL 6 plays 0
18-MorePhotonsEM duration 1 hour 0 minutes 18-MorePhotonsEM 18-MorePhotonsEM	18-MorePhotonsEM 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… energy ground thing things lambda particles theory answer distances field naught story momentum omega plates divergences problem electromagnetism particle function From Clifford Burgess 39 plays 0
17-PhotonsInQED duration 1 hour 7 minutes 17-PhotonsInQED 17-PhotonsInQED	17-PhotonsInQED 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… field energy thing equation things omega epsilon operator lambda solution function equations star operators momentum freedom vector density delta k. From Clifford Burgess 48 plays 0
PHYS-4F03-class19 duration 45 minutes 48 seconds PHYS-4F03-class19 PHYS-4F03-class19	PHYS-4F03-class19 Studied the WKB approximation for a particle in a potential well (L15WKB_potential_well) point solution energy turning pi phase half potential function problem side oscillator things cosine momentum region bar sort hand units From DUNCAN O'DELL 11 plays 0
15-Bogliubov duration 1 hour 7 minutes 15-Bogliubov 15-Bogliubov	15-Bogliubov 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… psi naught star energy hat thing ground particles times things epsilon momentum phase p. minus cosh chi function operator root From Clifford Burgess 58 plays 0
14-Semiclassical BEC duration 1 hour 3 minutes 14-Semiclassical BEC 14-Semiclassical BEC	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… psi naught particles energy thing hat ground star density volume epsilon mu things expectation times momentum interaction term infinity particle From Clifford Burgess 45 plays 0