Search for tag: "hamiltonian"

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02_IdentPtcl_SHO duration 1 hour 0 minutes 02_IdentPtcl_SHO 02_IdentPtcl_SHO	02_IdentPtcl_SHO Physics 4Q03 Lecture 02. This lecture describes several issues associated with multiple-particle states in quantum mechanics, including the classification of all particles as bosons or fermions and… particles particle momentum energy position operators star things operator omega hamiltonian space thing mechanics psi basis function quantum momenta eigenstates From Clifford Burgess 156 plays 0
03_Creation_Annihilation duration 55 minutes 23 seconds 03_Creation_Annihilation 03_Creation_Annihilation	03_Creation_Annihilation Physics 4Q03 Lecture 03: This lecture provides the foundation of much of what follows: the definition and properties of creation and annihilation operators. These operators provide a basis in terms… star particle particles energy momentum thing root matrix times things ground labels operator label oscillator operators n. element stars hamiltonian From Clifford Burgess 134 plays 0
04_Fermions_Completeness duration 46 minutes 50 seconds 04_Fermions_Completeness 04_Fermions_Completeness	04_Fermions_Completeness Physics 4Q03 Lecture 04: This lecture extends the notions of creation and annihilation operators to fermions, and derives the anticommutation algebra that these satisfy. The lecture also sketches out… particle star particles operator operators matrix thing fermions lambda labels creation bosons hamiltonian photons momentum destruction things space energy zeta From Clifford Burgess 84 plays 0
05_PtbnTheory duration 1 hour 18 minutes 05_PtbnTheory 05_PtbnTheory	05_PtbnTheory Physics 4Q03 Lecture 05: This lecture reviews the formalisms of time-independent and time-dependent Rayleigh-Schrodinger perturbation theory for quantum mechanics. picture naught energy interaction hamiltonian operators schrodinger thing things times theory perturbation evolution psi operator equation problem term vector basis From Clifford Burgess 97 plays 0
06_Scattering duration 52 minutes 23 seconds 06_Scattering 06_Scattering	06_Scattering Physics 4Q03 Lecture 06: This lecture uses the results for time-dependent perturbation theory to calculate transition rates in terms of the matrix elements of the interaction Hamiltonian, culminating… energy function interaction delta alpha beta hamiltonian times momentum thing problem naught infinity matrix rate eigenstates limit wave element packet From Clifford Burgess 118 plays 0
07_Emission duration 1 hour 18 minutes 07_Emission 07_Emission	07_Emission Physics 4Q03 Lecture 07: This lecture applies Fermi's Golden Rule to evaluate the rate for photon emission by an excited atom. This example is also used to illustrate the phenomenon of… delta momentum energy function particle thing times factor decay things rate cubed hamiltonian continuum volume element particles star k. matrix From Clifford Burgess 134 plays 0
09-CoherentState duration 59 minutes 32 seconds 09-CoherentState 09-CoherentState	09-CoherentState Physics 4Q03 Lecture 09: This lecture introduces coherent states, and derives them as the eigenstates to which a bosonic system is often driven in the presence of persistent stimulated emission. The… alpha star energy thing particles photons photon times ground particle theory omega momentum sum hamiltonian field perturbation bar distribution infinity From Clifford Burgess 85 plays 0
11-Locality2ndQuantization duration 54 minutes 50 seconds 11-Locality2ndQuantization 11-Locality2ndQuantization	11-Locality2ndQuantization 4Q03 Lecture 11; This lecture argues why the Hamiltonian should arise as a local function in space, and this is used to motivate the definition of position-space fields. The local form for the… star hamiltonian things times operators operator particle function x. particles space functions equation delta position psi energy potential creation schrodinger From Clifford Burgess 64 plays 0
12-PositionSpace Interactions duration 1 hour 31 minutes 12-PositionSpace Interactions 12-PositionSpace Interactions	12-PositionSpace Interactions Physics 4Q03 Lecture 12: This lecture summarizes the position space formalism of the previous lecture and introduces simple self-interactions. particles energy particle thing things hamiltonian star function momentum sum interaction times probability prime problem volume delta n. operator space From Clifford Burgess 66 plays 0
20-EM Interactions w Polarizable Atoms duration 55 minutes 27 seconds 20-EM Interactions w Polarizable Atoms 20-EM Interactions w Polarizable Atoms	20-EM Interactions w Polarizable Atoms Physics 4Q03 Lecture 20: This lecture describes how to construct interactions between electromagnetic fields and the Schrodinger fields that describe slowly moving particles. The interactions… things particles energy field psi dimensions thing fields interaction hamiltonian length size side equation atom star scattering sigma moment function From Clifford Burgess 32 plays 0
21-EM couplings to charged particles duration 1 hour 2 minutes 21-EM couplings to charged particles 21-EM couplings to charged particles	21-EM couplings to charged particles Physics 4Q03 Lecture 21: This lecture describes how the electromagnetic vector potential (ie photons) couple to nonrelativistic charged particles, constructing the interactions by `gauging' the… things psi thing omega times term fields interaction energy length phi field particles kind transformation derivatives minus star hamiltonian gradient From Clifford Burgess 40 plays 0
22-CoulombInteraction duration 55 minutes 46 seconds 22-CoulombInteraction 22-CoulombInteraction	22-CoulombInteraction Physics 4Q03 Lecture 22: This lecture recaps the previous ones and completes the interactions of a nonrelativistic charged particle to include the Coulomb interaction. interaction term thing things psi particles energy times star function potential exercise hamiltonian week minus piece functions halves electrons field From Clifford Burgess 43 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
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
PHYS-4F03-class12 duration 47 minutes 15 seconds PHYS-4F03-class12 PHYS-4F03-class12	PHYS-4F03-class12 Finished Fine structure (L9Fine_structure) spin momentum half orbit energy hamiltonian equation field electron halves basis dot cubed structure commutator numbers fact times correction s. From DUNCAN O'DELL 22 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
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-class20 duration 49 minutes 55 seconds PHYS-4F03-class20 PHYS-4F03-class20	PHYS-4F03-class20 Started time-dependent perturbation theory (L16T_dep_PT_part1) hamiltonian spin perturbation equation problem energy omega field piece dependence bar matrix operator theory term resonance pieces coefficients schrodinger minus From DUNCAN O'DELL 8 plays 0
PHYS-4F03-class26 duration 52 minutes 38 seconds PHYS-4F03-class26 PHYS-4F03-class26	PHYS-4F03-class26 Finished the slides on the adiabatic approximation (L18Adiabatic) omega term equation psi energy phase frequency hamiltonian field expression times change spin thing eigenstate eigenstates n. schrodinger difference derivative From DUNCAN O'DELL 6 plays 0
PHYS-4F03-Class8 duration 53 minutes 21 seconds PHYS-4F03-Class8 PHYS-4F03-Class8	PHYS-4F03-Class8 Finished identical particle and started time-independent perturbation theory. particles 0th term perturbation eigenvectors equation correction lambda eigenvalues problem wave hamiltonian sort function sum operator permutation particle theory eigenvalue From DUNCAN O'DELL 9 plays 0
PHYS3QI3_class27 duration 29 minutes 1 second PHYS3QI3_class27 PHYS3QI3_class27	PHYS3QI3_class27 Finished going through the slides on quantum gates (QI18_Quantum_gates), including discussing alternative schemes to gate-based quantum gates (such as quantum annealing) energy quantum ground problem cubits computer sort hamiltonian thing gate spins computers gates entanglement qubit protein solution measurements idea numbers From DUNCAN O'DELL 4 plays 0
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)
PHYSICS739_approximation_Methods3 duration 1 hour 9 minutes PHYSICS739_approximation_Methods3 PHYSICS739_approximation_Methods3	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. picture interaction schrodinger function delta perturbation energy operator probability times evolution continuum frequency omega equation transition series thing hamiltonian matrix From DUNCAN O'DELL 2 plays 0
QFT-Tut-210118 duration 39 minutes 4 seconds QFT-Tut-210118 QFT-Tut-210118	QFT-Tut-210118 This is the QFT tutorial for Jan 18, 2021 matrix energy particle elements operators particles operator things thing element 's hamiltonian momentum oscillator equation bunch algebra basis position star From Clifford Burgess 12 plays 0