麻省理工 量子物理 III (MIT 8.06, Quantum Physics III)【暂无字幕】

2.0万
11
2019-03-15 00:38:55
345
113
1590
96
讲师:Prof. Barton Zwiebach 课程地址:https://ocw.mit.edu/8-06S18 公开课目录:https://zhuanlan.zhihu.com/p/53069070
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L1.1 General problem. Non-degenerate perturbation theory
22:56
L1.2 Setting up the perturbative equations
16:09
L1.3 Calculating the energy corrections
06:27
L1.4 First order correction to the state. Second order correction to energy
13:45
L2.1 Remarks and validity of the perturbation series
22:28
L2.2 Anharmonic Oscillator via a quartic perturbation
20:56
L2.3 Degenerate Perturbation theory - Example and setup
25:21
L2.4 Degenerate Perturbation Theory - Leading energy corrections
06:52
L3.1 Remarks on a 'good basis'
17:39
L3.2 Degeneracy resolved to first order; state and energy corrections
29:12
L3.3 Degeneracy resolved to second order
18:28
L3.4 Degeneracy resolved to second order (continued)
11:36
L4.1 Scales and zeroth-order spectrum
25:51
L4.2 The uncoupled and coupled basis states for the spectrum
17:12
L4.3 The Pauli equation for the electron in an electromagnetic field
18:12
L4.4 Dirac equation for the electron and hydrogen Hamiltonian
15:01
L5.1 Evaluating the Darwin correction
12:51
L5.2 Interpretation of the Darwin correction from nonlocality
21:48
L5.3 The relativistic correction
19:16
L5.4 Spin-orbit correction
08:32
L5.5 Assembling the fine-structure corrections
15:23
L6.1 Zeeman effect and fine structure
13:07
L6.2 Weak-field Zeeman effect; general structure
10:09
L6.3 Weak-field Zeeman effect; the projection lemma
19:10
L6.4 Strong-field Zeeman
09:50
L6.5 Semiclassical approximation and local de Broglie wavelength
23:30
L7.1 The WKB approximation scheme
22:51
L7.2 Approximate WKB solutions
19:02
L7.3 Validity of the WKB approximation
17:01
L7.4 Connection formula stated and example
21:10
L8.1 Airy functions as integrals in the complex plane
17:56
L8.2 Asymptotic expansions of Airy functions
19:38
L8.3 Deriving the connection formulae
22:32
L8.4 Deriving the connection formulae (continued) logical arrows
14:46
L9.1 The interaction picture and time evolution
26:34
L9.2 The interaction picture equation in an orthonormal basis
15:08
L9.3 Example - Instantaneous transitions in a two-level system
29:25
L9.4 Setting up perturbation theory
06:36
L10.1 Box regularization - density of states for the continuum
20:33
L10.2 Transitions with a constant perturbation
19:02
L10.3 Integrating over the continuum to find Fermi's Golden Rule
19:38
L10.4 Autoionization transitions
11:31
L11.1 Harmonic transitions between discrete states
15:13
L11.2 Transition rates for stimulated emission and absorption processes
17:13
L11.3 Ionization of hydrogen - conditions of validity, initial and final states
20:56
L11.4 Ionization of hydrogen - matrix element for transition
22:22
L12.1 Ionization rate for hydrogen - final result
16:24
L12.2 Light and atoms with two levels, qualitative analysis
14:32
L12.3 Einstein's argument - the need for spontaneous emission
19:32
L12.4 Einstein's argument - B and A coefficients
09:43
L12.5 Atom-light interactions - dipole operator
11:12
L13.1 Transition rates induced by thermal radiation
17:51
L13.2 Transition rates induced by thermal radiation (continued)
16:36
L13.3 Einstein's B and A coefficients determined. Lifetimes and selection rules
13:55
L13.4 Charged particles in EM fields - potentials and gauge invariance
21:51
L13.5 Charged particles in EM fields - Schrodinger equation
08:39
L14.1 Gauge invariance of the Schrodinger Equation
21:09
L14.2 Quantization of the magnetic field on a torus
25:16
L14.3 Particle in a constant magnetic field - Landau levels
18:20
L14.4 Landau levels (continued). Finite sample
09:08
L15.1 Classical analog - oscillator with slowly varying frequency
16:35
L15.2 Classical adiabatic invariant
15:08
L15.3 Phase space and intuition for quantum adiabatic invariants
16:24
L15.4 Instantaneous energy eigenstates and Schrodinger equation
26:48
L16.1 Quantum adiabatic theorem stated
13:03
L16.2 Analysis with an orthonormal basis of instantaneous energy eigenstates
14:32
L16.3 Error in the adiabatic approximation
14:22
L16.4 Landau-Zener transitions
19:31
L16.5 Landau-Zener transitions (continued)
14:19
L17.1 Configuration space for Hamiltonians
15:28
L17.2 Berry's phase and Berry's connection
25:05
L17.3 Properties of Berry's phase
11:13
L17.4 Molecules and energy scales
17:58
L18.1 Born-Oppenheimer approximation - Hamiltonian and electronic states
24:50
L18.2 Effective nuclear Hamiltonian. Electronic Berry connection
20:03
L18.3 Example - The hydrogen molecule ion
27:03
L19.1 Elastic scattering defined and assumptions
15:36
L19.2 Energy eigenstates - incident and outgoing waves. Scattering amplitude
25:03
L19.3 Differential and total cross section
20:21
L19.4 Differential as a sum of partial waves
17:47
L20.1 Review of scattering concepts developed so far
09:03
L20.2 The one-dimensional analogy for phase shifts
16:58
L20.3 Scattering amplitude in terms of phase shifts
15:00
L20.4 Cross section in terms of partial cross sections. Optical theorem
13:14
L20.5 Identification of phase shifts. Example - hard sphere
18:02
L21.1 General computation of the phase shifts
18:15
L21.2 Phase shifts and impact parameter
27:39
L21.3 Integral equation for scattering and Green's function
30:27
L22.1 Setting up the Born Series
21:08
L22.2 First Born Approximation. Calculation of the scattering amplitude
13:03
L22.3 Diagrammatic representation of the Born series. Scattering amplitude for
21:42
L22.4 Identical particles and exchange degeneracy
19:42
L23.1 Permutation operators and projectors for two particles
22:23
L23.2 Permutation operators acting on operators
11:45
L23.3 Permutation operators on N particles and transpositions
29:40
L23.4 Symmetric and Antisymmetric states of N particles
11:35
L24.1 Symmetrizer and antisymmetrizer for N particles
16:51
L24.2 Symmetrizer and antisymmetrizer for N particles (continued)
24:56
L24.3 The symmetrization postulate
11:39
L24.4 The symmetrization postulate (continued)
20:51
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