Playlist · MIT OpenCourseWare

MIT 8.06 Quantum Physics III, Spring 2018

by MIT OpenCourseWare · 100 videos

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1d 5h 50m

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3h 2m
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2h 51m
3h 12m
2h 47m
2h 44m
2h 46m
3h 25m
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3h 11m

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Videos (100)

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1 L1.1 General problem. Non-degenerate perturbation theory 22:56 2019-02-14
2 L1.2 Setting up the perturbative equations 16:09 2019-02-14
3 L1.3 Calculating the energy corrections 6:27 2019-02-14
4 L1.4 First order correction to the state. Second order correction to energy 13:45 2019-02-14
5 L2.1 Remarks and validity of the perturbation series 22:28 2019-02-14
6 L2.2 Anharmonic Oscillator via a quartic perturbation 20:56 2019-02-14
7 L2.3 Degenerate Perturbation theory: Example and setup 25:21 2019-02-14
8 L2.4 Degenerate Perturbation Theory: Leading energy corrections 6:52 2019-02-14
9 L3.1 Remarks on a 'good basis' 17:39 2019-02-14
10 L3.2 Degeneracy resolved to first order; state and energy corrections 29:12 2019-02-14
11 L3.3 Degeneracy resolved to second order 18:28 2019-02-14
12 L3.4 Degeneracy resolved to second order (continued) 11:36 2019-02-14
13 L4.1 Scales and zeroth-order spectrum 25:51 2019-02-14
14 L4.2 The uncoupled and coupled basis states for the spectrum 17:12 2019-02-14
15 L4.3 The Pauli equation for the electron in an electromagnetic field 18:12 2019-02-14
16 L4.4 Dirac equation for the electron and hydrogen Hamiltonian 15:01 2019-02-14
17 L5.1 Evaluating the Darwin correction 12:51 2019-02-14
18 L5.2 Interpretation of the Darwin correction from nonlocality 21:47 2019-02-14
19 L5.3 The relativistic correction 19:16 2019-02-14
20 L5.4 Spin-orbit correction 8:32 2019-02-14
21 L5.5 Assembling the fine-structure corrections 15:23 2019-02-14
22 L6.1 Zeeman effect and fine structure 13:07 2019-02-14
23 L6.2 Weak-field Zeeman effect; general structure 10:09 2019-02-14
24 L6.3 Weak-field Zeeman effect; the projection lemma 19:10 2019-02-14
25 L6.4 Strong-field Zeeman 9:50 2019-02-14
26 L6.5 Semiclassical approximation and local de Broglie wavelength 23:30 2019-02-14
27 L7.1 The WKB approximation scheme 22:51 2019-02-14
28 L7.2 Approximate WKB solutions 19:02 2019-02-14
29 L7.3 Validity of the WKB approximation 17:01 2019-02-14
30 L7.4 Connection formula stated and example 21:10 2019-02-14
31 L8.1 Airy functions as integrals in the complex plane 17:55 2019-02-14
32 L8.2 Asymptotic expansions of Airy functions 19:38 2019-02-14
33 L8.3 Deriving the connection formulae 22:32 2019-02-14
34 L8.4 Deriving the connection formulae (continued) logical arrows 14:45 2019-02-14
35 L9.1 The interaction picture and time evolution 26:34 2019-02-14
36 L9.2 The interaction picture equation in an orthonormal basis 15:07 2019-02-14
37 L9.3 Example: Instantaneous transitions in a two-level system 29:25 2019-02-14
38 L9.4 Setting up perturbation theory 6:36 2019-02-14
39 L10.1 Box regularization: density of states for the continuum 20:32 2019-02-14
40 L10.2 Transitions with a constant perturbation 19:02 2019-02-14
41 L10.3 Integrating over the continuum to find Fermi's Golden Rule 19:38 2019-02-14
42 L10.4 Autoionization transitions 11:31 2019-02-14
43 L11.1 Harmonic transitions between discrete states 15:13 2019-02-14
44 L11.2 Transition rates for stimulated emission and absorption processes 17:13 2019-02-14
45 L11.3 Ionization of hydrogen: conditions of validity, initial and final states 20:55 2019-02-14
46 L11.4 Ionization of hydrogen: matrix element for transition 22:21 2019-02-14
47 L12.1 Ionization rate for hydrogen: final result 16:24 2019-02-14
48 L12.2 Light and atoms with two levels, qualitative analysis 14:32 2019-02-14
49 L12.3 Einstein's argument: the need for spontaneous emission 19:32 2019-02-14
50 L12.4 Einstein's argument: B and A coefficients 9:43 2019-02-14
51 L12.5 Atom-light interactions: dipole operator 11:11 2019-02-14
52 L13.1 Transition rates induced by thermal radiation 17:51 2019-02-14
53 L13.2 Transition rates induced by thermal radiation (continued) 16:36 2019-02-14
54 L13.3 Einstein's B and A coefficients determined. Lifetimes and selection rules 13:55 2019-02-14
55 L13.4 Charged particles in EM fields: potentials and gauge invariance 21:51 2019-02-14
56 L13.5 Charged particles in EM fields: Schrodinger equation 8:39 2019-02-14
57 L14.1 Gauge invariance of the Schrödinger Equation 21:09 2019-02-14
58 L14.2 Quantization of the magnetic field on a torus 25:15 2019-02-14
59 L14.3 Particle in a constant magnetic field: Landau levels 18:20 2019-02-14
60 L14.4 Landau levels (continued). Finite sample 9:08 2019-02-14
61 L15.1 Classical analog: oscillator with slowly varying frequency 16:35 2019-02-14
62 L15.2 Classical adiabatic invariant 15:08 2019-02-14
63 L15.3 Phase space and intuition for quantum adiabatic invariants 16:24 2019-02-14
64 L15.4 Instantaneous energy eigenstates and Schrodinger equation 26:47 2019-02-14
65 L16.1 Quantum adiabatic theorem stated 13:03 2019-02-14
66 L16.2 Analysis with an orthonormal basis of instantaneous energy eigenstates 14:32 2019-02-14
67 L16.3 Error in the adiabatic approximation 14:22 2019-02-14
68 L16.4 Landau-Zener transitions 19:31 2019-02-14
69 L16.5 Landau-Zener transitions (continued) 14:19 2019-02-14
70 L17.1 Configuration space for Hamiltonians 15:28 2019-02-14
71 L17.2 Berry's phase and Berry's connection 25:05 2019-02-14
72 L17.3 Properties of Berry's phase 11:13 2019-02-14
73 L17.4 Molecules and energy scales 17:58 2019-02-14
74 L18.1 Born-Oppenheimer approximation: Hamiltonian and electronic states 24:49 2019-02-14
75 L18.2 Effective nuclear Hamiltonian. Electronic Berry connection 20:03 2019-02-14
76 L18.3 Example: The hydrogen molecule ion 27:02 2019-02-14
77 L19.1 Elastic scattering defined and assumptions 15:36 2019-02-14
78 L19.2 Energy eigenstates: incident and outgoing waves. Scattering amplitude 25:03 2019-02-14
79 L19.3 Differential and total cross section 20:21 2019-02-14
80 L19.4 Differential as a sum of partial waves 17:47 2019-02-14
81 L20.1 Review of scattering concepts developed so far 9:03 2019-02-14
82 L20.2 The one-dimensional analogy for phase shifts 16:58 2019-02-14
83 L20.3 Scattering amplitude in terms of phase shifts 15:00 2019-02-14
84 L20.4 Cross section in terms of partial cross sections. Optical theorem 13:14 2019-02-14
85 L20.5 Identification of phase shifts. Example: hard sphere 18:02 2019-02-14
86 L21.1 General computation of the phase shifts 18:15 2019-02-14
87 L21.2 Phase shifts and impact parameter 27:39 2019-02-14
88 L21.3 Integral equation for scattering and Green's function 30:27 2019-02-14
89 L22.1 Setting up the Born Series 21:08 2019-02-14
90 L22.2 First Born Approximation. Calculation of the scattering amplitude 13:03 2019-02-14
91 L22.3 Diagrammatic representation of the Born series. Scattering amplitude for spherically symm... 21:42 2019-02-14
92 L22.4 Identical particles and exchange degeneracy 19:42 2019-02-14
93 L23.1 Permutation operators and projectors for two particles 22:23 2019-02-14
94 L23.2 Permutation operators acting on operators 11:45 2019-02-14
95 L23.3 Permutation operators on N particles and transpositions 29:40 2019-02-14
96 L23.4 Symmetric and Antisymmetric states of N particles 11:35 2019-02-14
97 L24.1 Symmetrizer and antisymmetrizer for N particles 16:50 2019-02-14
98 L24.2 Symmetrizer and antisymmetrizer for N particles (continued) 24:55 2019-02-14
99 L24.3 The symmetrization postulate 11:39 2019-02-14
100 L24.4 The symmetrization postulate (continued) 20:51 2019-02-14
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