MIT 8.04 Quantum Physics I | Spring 2016

课程大纲（115 讲）

1. P1 · Quantum mechanics as a framework. Defining linearity18 分钟
2. P2 · Linearity and nonlinear theories. Schrödinger's equation10 分钟
3. P3 · Necessity of complex numbers7 分钟
4. P4 · Photons and the loss of determinism17 分钟
5. P5 · The nature of superposition. Mach-Zehnder interferometer14 分钟
6. P6 · More on superposition. General state of a photon and spin states17 分钟
7. P7 · Entanglement13 分钟
8. P8 · Mach-Zehnder interferometers and beam splitters15 分钟
9. P9 · Interferometer and interference12 分钟
10. P10 · Elitzur-Vaidman bombs10 分钟
11. P11 · The photoelectric effect22 分钟
12. P12 · Units of h and Compton wavelength of particles12 分钟
13. P13 · Compton Scattering22 分钟
14. P14 · de Broglie’s proposal10 分钟
15. P15 · de Broglie wavelength in different frames14 分钟
16. P16 · Galilean transformation of ordinary waves12 分钟
17. P17 · The frequency of a matter wave10 分钟
18. P18 · Group velocity and stationary phase approximation10 分钟
19. P19 · Motion of a wave-packet8 分钟
20. P20 · The wave for a free particle14 分钟
21. P21 · Momentum operator, energy operator, and a differential equation20 分钟
22. P22 · Free Schrödinger equation9 分钟
23. P23 · The general Schrödinger equation. x, p commutator17 分钟
24. P24 · Commutators, matrices, and 3-dimensional Schrödinger equation16 分钟
25. P25 · Interpretation of the wavefunction7 分钟
26. P26 · Normalizable wavefunctions and the question of time evolution16 分钟
27. P27 · Is probability conserved? Hermiticity of the Hamiltonian20 分钟
28. P28 · Probability current and current conservation15 分钟
29. P29 · Three dimensional current and conservation18 分钟
30. P30 · Wavepackets and Fourier representation11 分钟
31. P31 · Reality condition in Fourier transforms9 分钟
32. P32 · Widths and uncertainties19 分钟
33. P33 · Shape changes in a wave16 分钟
34. P34 · Time evolution of a free particle wavepacket9 分钟
35. P35 · Fourier transforms and delta functions13 分钟
36. P36 · Parseval identity15 分钟
37. P37 · Three-dimensional Fourier transforms6 分钟
38. P38 · Expectation values of operators28 分钟
39. P39 · Time dependence of expectation values7 分钟
40. P40 · Expectation value of Hermitian operators16 分钟
41. P41 · Eigenfunctions of a Hermitian operator13 分钟
42. P42 · Completeness of eigenvectors and measurement postulate16 分钟
43. P43 · Consistency condition. Particle on a circle17 分钟
44. P44 · Defining uncertainty10 分钟
45. P45 · Uncertainty and eigenstates15 分钟
46. P46 · Stationary states: key equations18 分钟
47. P47 · Expectation values on stationary states9 分钟
48. P48 · Comments on the spectrum and continuity conditions13 分钟
49. P49 · Solving particle on a circle11 分钟
50. P50 · Energy eigenstates for particle on a circle16 分钟
51. P51 · Infinite square well energy eigenstates13 分钟
52. P52 · Nodes and symmetries of the infinite square well eigenstates9 分钟
53. P53 · Finite square well. Setting up the problem22 分钟
54. P54 · Finite square well energy eigenstates10 分钟
55. P55 · Nondegeneracy of bound states in 1D. Real solutions12 分钟
56. P56 · Potentials that satisfy V(-x) = V(x)14 分钟
57. P57 · Qualitative insights: Local de Broglie wavelength15 分钟
58. P58 · Correspondence principle: amplitude as a function of position5 分钟
59. P59 · Local picture of the wavefunction12 分钟
60. P60 · Energy eigenstates on a generic symmetric potential. Shooting method15 分钟
61. P61 · Delta function potential I: Preliminaries16 分钟
62. P62 · Delta function potential I: Solving for the bound state15 分钟
63. P63 · Node Theorem13 分钟
64. P64 · Harmonic oscillator: Differential equation16 分钟
65. P65 · Behavior of the differential equation10 分钟
66. P66 · Recursion relation for the solution12 分钟
67. P67 · Quantization of the energy23 分钟
68. P68 · Algebraic solution of the harmonic oscillator16 分钟
69. P69 · Ground state wavefunction15 分钟
70. P70 · Number operator and commutators15 分钟
71. P71 · Excited states of the harmonic oscillator18 分钟
72. P72 · Creation and annihilation operators acting on energy eigenstates21 分钟
73. P73 · Scattering states and the step potential10 分钟
74. P74 · Step potential probability current15 分钟
75. P75 · Reflection and transmission coefficients8 分钟
76. P76 · Energy below the barrier and phase shift18 分钟
77. P77 · Wavepackets20 分钟
78. P78 · Wavepackets with energy below the barrier5 分钟
79. P79 · Particle on the forbidden region6 分钟
80. P80 · Waves on the finite square well15 分钟
81. P81 · Resonant transmission17 分钟
82. P82 · Ramsauer-Townsend phenomenology10 分钟
83. P83 · Scattering in 1D. Incoming and outgoing waves18 分钟
84. P84 · Scattered wave and phase shift8 分钟
85. P85 · Incident packet and delay for reflection18 分钟
86. P86 · Phase shift for a potential well9 分钟
87. P87 · Excursion of the phase shift15 分钟
88. P88 · Levinson's theorem, part 114 分钟
89. P89 · Levinson's theorem, part 29 分钟
90. P90 · Time delay and resonances18 分钟
91. P91 · Effects of resonance on phase shifts, wave amplitude and time delay14 分钟
92. P92 · Modelling a resonance15 分钟
93. P93 · Half-width and time delay8 分钟
94. P94 · Resonances in the complex k plane15 分钟
95. P95 · Translation operator. Central potentials19 分钟
96. P96 · Angular momentum operators and their algebra14 分钟
97. P97 · Commuting observables for angular momentum17 分钟
98. P98 · Simultaneous eigenstates and quantization of angular momentum24 分钟
99. P99 · Associated Legendre functions and spherical harmonics18 分钟
100. P100 · Orthonormality of spherical harmonics17 分钟
101. P101 · Effective potential and boundary conditions at r=014 分钟
102. P102 · Hydrogen atom two-body problem25 分钟
103. P103 · Center of mass and relative motion wavefunctions14 分钟
104. P104 · Scales of the hydrogen atom9 分钟
105. P105 · Schrödinger equation for hydrogen20 分钟
106. P106 · Series solution and quantization of the energy14 分钟
107. P107 · Energy eigenstates of hydrogen12 分钟
108. P108 · Energy levels and diagram for hydrogen13 分钟
109. P109 · Degeneracy in the spectrum and features of the solution14 分钟
110. P110 · Rydberg atoms26 分钟
111. P111 · Orbits in the hydrogen atom10 分钟
112. P112 · More on the hydrogen atom degeneracies and orbits23 分钟
113. P113 · The simplest quantum system13 分钟
114. P114 · Hamiltonian and emerging spin angular momentum15 分钟
115. P115 · Eigenstates of the Hamiltonian14 分钟