MIT 8.06 Quantum Physics III, Spring 2018麻省理工：量子物理III，2018春季-L14.1 Gauge invariance of the Schrodinger EquationL14.1衡量Schrodinger方程的不变性-网易公开课

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L14.1 Gauge invariance of the Schrodinger EquationL14.1衡量Schrodinger方程的不变性

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[1] L1.1 General prob...

2.0万播放

22:55

L1.1 General problem. Non-degenerate perturbation theoryl1.1一般问题，简并微扰理论

[2] L1.2 Setting up t...

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16:08

L1.2 Setting up the perturbative equationsL1.2 建立微扰方程

[3] L1.3 Calculating ...

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06:26

L1.3 Calculating the energy correctionsL1.3 计算能量修正

[4] L1.4 First order ...

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13:44

L1.4 First order correction to the state. Second order correction to energyl1.4 对状态的一阶修正，能量的二阶修正

[5] L2.1 Remarks and ...

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22:27

L2.1 Remarks and validity of the perturbation seriesL2.1 扰动级数的有效性

[6] L2.2 Anharmonic O...

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20:55

L2.2 Anharmonic Oscillator via a quartic perturbationL2.2 基于四次微扰的非谐振子

[7] L2.3 Degenerate P...

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25:20

L2.3 Degenerate Perturbation theory: Example and setupL2.3 简并微扰理论: 实例与建立

[8] L2.4 Degenerate P...

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06:51

L2.4 Degenerate Perturbation Theory: Leading energy correctionsL2.4 简并微扰理论:主要能量修正

[9] L3.1 Remarks on a...

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17:38

L3.1 Remarks on a 'good basis'L3.1关于“良好基础”的备注

[10] L3.2 Degeneracy r...

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29:11

L3.2 Degeneracy resolved to first order; state and energy correctionsL3.2退化决定第一次订单;国家和能量校正

[11] L3.3 Degeneracy r...

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18:27

L3.3 Degeneracy resolved to second orderL3.3退化决定二阶

[12] L3.4 Degeneracy r...

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11:35

L3.4 Degeneracy resolved to second order (continued)L3.4退化决定二阶（续）

[13] L4.1 Scales and z...

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25:50

L4.1 Scales and zeroth-order spectrumL4.1尺度和零序谱

[14] L4.2 The uncouple...

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17:11

L4.2 The uncoupled and coupled basis states for the spectrumL4.2频谱的未耦合和耦合的基态

[15] L4.3 The Pauli eq...

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18:11

L4.3 The Pauli equation for the electron in an electromagnetic fieldL4.3电磁场中电子的Pauli方程

[16] L4.4 Dirac equati...

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15:00

L4.4 Dirac equation for the electron and hydrogen HamiltonianL4.4电子和氢气哈密顿的DIRAC方程

[17] L5.1 Evaluating t...

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12:50

L5.1 Evaluating the Darwin correctionL5.1评估达尔文修正

[18] L5.2 Interpretati...

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21:46

L5.2 Interpretation of the Darwin correction from nonlocalityL5.2解释非划分的达尔文校正

[19] L5.3 The relativi...

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19:15

L5.3 The relativistic correctionL5.3相对论校正

[20] L5.4 Spin-orbit c...

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08:31

L5.4 Spin-orbit correctionL5.4旋转轨道校正

[21] L5.5 Assembling t...

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15:22

L5.5 Assembling the fine-structure correctionsL5.5组装细结构校正

[22] L6.1 Zeeman effec...

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13:06

L6.1 Zeeman effect and fine structureL6.1塞曼效应和精细结构

[23] L6.2 Weak-field Z...

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10:08

L6.2 Weak-field Zeeman effect; general structureL6.2弱场栖息效应;一般结构

[24] L6.3 Weak-field Z...

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19:09

L6.3 Weak-field Zeeman effect; the projection lemmaL6.3弱场栖息效应;投影引理

[25] L6.4 Strong-field...

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09:49

L6.4 Strong-field ZeemanL6.4强外地Zeeman

[26] L6.5 Semiclassica...

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23:29

L6.5 Semiclassical approximation and local de Broglie wavelengthL6.5半定形近似和本地de broglie波长

[27] L7.1 The WKB appr...

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22:50

L7.1 The WKB approximation schemeL7.1 WKB近似方案

[28] L7.2 Approximate ...

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19:01

L7.2 Approximate WKB solutionsL7.2近似WKB解决方案

[29] L7.3 Validity of ...

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17:00

L7.3 Validity of the WKB approximationL7.3 WKB近似的有效性

[30] L7.4 Connection f...

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L7.4 Connection formula stated and exampleL7.4连接公式说明和示例

[31] L8.1 Airy functio...

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L8.1 Airy functions as integrals in the complex planeL8.1通风功能在复杂平面中的积分

[32] L8.2 Asymptotic e...

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19:37

L8.2 Asymptotic expansions of Airy functionsL8.2通风功能的渐近扩展

[33] L8.3 Deriving the...

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22:31

L8.3 Deriving the connection formulaeL8.3导出连接公式

[34] L8.4 Deriving the...

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14:44

L8.4 Deriving the connection formulae (continued) logical arrowsL8.4导出连接公式（续）逻辑箭头

[35] L9.1 The interact...

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26:33

L9.1 The interaction picture and time evolutionL9.1交互图像和时间进化

[36] L9.2 The interact...

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15:06

L9.2 The interaction picture equation in an orthonormal basisL9.2以正常形式的交互图像方程

[37] L9.3 Example: In...

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29:24

L9.3 Example: Instantaneous transitions in a two-level systemL9.3示例：两级系统中的瞬时转换

[38] L9.4 Setting up p...

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06:35

L9.4 Setting up perturbation theoryL9.4设置扰动理论

[39] L10.1 Box regular...

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L10.1 Box regularization: density of states for the continuumL10.1框正则化：连续内的状态密度

[40] L10.2 Transitions...

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L10.2 Transitions with a constant perturbationL10.2具有恒定扰动的过渡

[41] L10.3 Integrating...

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19:37

L10.3 Integrating over the continuum to find Fermi's Golden RuleL10.3集成连续体以找到费米的黄金法则

[42] L10.4 Autoionizat...

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11:30

L10.4 Autoionization transitionsL10.4自动化过渡

[43] L11.1 Harmonic tr...

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15:12

L11.1 Harmonic transitions between discrete statesL11.1离散状态之间的谐波过渡

[44] L11.2 Transition ...

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L11.2 Transition rates for stimulated emission and absorption processesL11.2刺激发射和吸收过程的过渡率

[45] L11.3 Ionization ...

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L11.3 Ionization of hydrogen: conditions of validity, initial and final statesL11.3氢的电离：有效性，初始和最终状态

[46] L11.4 Ionization ...

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L11.4 Ionization of hydrogen: matrix element for transitionL11.4氢的电离：过渡的基质元素

[47] L12.1 Ionization ...

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L12.1 Ionization rate for hydrogen: final resultL12.1氢的电离率：最终结果

[48] L12.2 Light and a...

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14:31

L12.2 Light and atoms with two levels, qualitative analysisL12.2光和原子有两个级别，定性分析

[49] L12.3 Einstein's ...

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19:31

L12.3 Einstein's argument: the need for spontaneous emissionL12.3爱因斯坦的论点：需要自发排放

[50] L12.4 Einstein's ...

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09:42

L12.4 Einstein's argument: B and A coefficientsL12.4爱因斯坦的论点：B和一系列

[51] L12.5 Atom-light ...

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11:11

L12.5 Atom-light interactions: dipole operatorL12.5原子光相互作用：偶极算子

[52] L13.1 Transition ...

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17:50

L13.1 Transition rates induced by thermal radiationL13.1热辐射引起的过渡率

[53] L13.2 Transition ...

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16:35

L13.2 Transition rates induced by thermal radiation (continued)L13.2热辐射引起的过渡率（续）

[54] L13.3 Einstein's ...

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13:54

L13.3 Einstein's B and A coefficients determined. Lifetimes and selection rulesL13.3爱因斯坦的B和确定系数。生命和选择规则

[55] L13.4 Charged par...

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21:50

L13.4 Charged particles in EM fields: potentials and gauge invarianceL13.4 EM领域的带电粒子：潜力和仪表不变性

[56] L13.5 Charged par...

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08:38

L13.5 Charged particles in EM fields: Schrodinger equationL13.5 EM领域的带电粒子：Schrodinger方程

[57] L14.1 Gauge invar...

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L14.1 Gauge invariance of the Schrodinger EquationL14.1衡量Schrodinger方程的不变性

[58] L14.2 Quantizatio...

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25:14

L14.2 Quantization of the magnetic field on a torusL14.2圆环上的磁场量化

[59] L14.3 Particle in...

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18:19

L14.3 Particle in a constant magnetic field: Landau levelsL14.3恒定磁场中的粒子：Landau水平

[60] L14.4 Landau leve...

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09:07

L14.4 Landau levels (continued). Finite sampleL14.4 Landau水平（续）。有限的样本

[61] L15.1 Classical a...

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16:34

L15.1 Classical analog: oscillator with slowly varying frequencyL15.1古典模拟：振荡器，频率缓慢

[62] L15.2 Classical a...

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15:07

L15.2 Classical adiabatic invariantL15.2古典绝热不变

[63] L15.3 Phase space...

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L15.3 Phase space and intuition for quantum adiabatic invariantsL15.3相空间和Quantum绝热不变的直觉

[64] L15.4 Instantaneo...

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26:46

L15.4 Instantaneous energy eigenstates and Schrodinger equationL15.4瞬时能量特征和Schrodinger方程

[65] L16.1 Quantum adi...

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L16.1 Quantum adiabatic theorem statedL16.1量子绝热定理说明

[66] L16.2 Analysis wi...

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14:31

L16.2 Analysis with an orthonormal basis of instantaneous energy eigenstatesL16.2分析瞬时能源特征的正常基础

[67] L16.3 Error in th...

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14:21

L16.3 Error in the adiabatic approximationL16.3绝热近似值的错误

[68] L16.4 Landau-Zene...

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19:30

L16.4 Landau-Zener transitionsL16.4 Landau-Zener过渡

[69] L16.5 Landau-Zene...

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14:18

L16.5 Landau-Zener transitions (continued)L16.5 Landau-zener过渡（续）

[70] L17.1 Configurati...

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15:27

L17.1 Configuration space for HamiltoniansL17.1 Hamiltonians的配置空间

[71] L17.2 Berry's pha...

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25:04

L17.2 Berry's phase and Berry's connectionL17.2 Berry的阶段和浆果的联系

[72] L17.3 Properties ...

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11:12

L17.3 Properties of Berry's phaseL17.3 Berry阶段的性质

[73] L17.4 Molecules a...

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17:57

L17.4 Molecules and energy scalesL17.4分子和能量尺度

[74] L18.1 Born-Oppenh...

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24:48

L18.1 Born-Oppenheimer approximation: Hamiltonian and electronic statesL18.1出生 - oppenheimer近似：哈密顿和电子国家

[75] L18.2 Effective n...

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20:02

L18.2 Effective nuclear Hamiltonian. Electronic Berry connectionL18.2有效的核哈密顿。电子浆果连接

[76] L18.3 Example: Th...

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27:01

L18.3 Example: The hydrogen molecule ionL18.3实施例：氢分子离子

[77] L19.1 Elastic sca...

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L19.1 Elastic scattering defined and assumptionsL19.1弹性散射定义和假设

[78] L19.2 Energy eige...

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25:02

L19.2 Energy eigenstates: incident and outgoing waves. Scattering amplitudeL19.2能源特征斯特：事件和外出波浪。散射幅度

[79] L19.3 Differentia...

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20:20

L19.3 Differential and total cross sectionL19.3差分和总横截面

[80] L19.4 Differentia...

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17:46

L19.4 Differential as a sum of partial wavesL19.4差异作为部分波的总和

[81] L20.1 Review of s...

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09:02

L20.1 Review of scattering concepts developed so farL20.1到目前为止开发的散射概念审查

[82] L20.2 The one-dim...

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16:57

L20.2 The one-dimensional analogy for phase shiftsL20.2相移的一维类比

[83] L20.3 Scattering ...

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14:59

L20.3 Scattering amplitude in terms of phase shiftsL20.3相移散射幅度

[84] L20.4 Cross secti...

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13:13

L20.4 Cross section in terms of partial cross sections. Optical theoremL20.4部分横截面的横截面。光学定理

[85] L20.5 Identificat...

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18:01

L20.5 Identification of phase shifts. Example: hard spherel20.5识别相移。示例：硬球

[86] L21.1 General com...

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18:14

L21.1 General computation of the phase shiftsL21.1相移的一般计算

[87] L21.2 Phase shift...

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27:38

L21.2 Phase shifts and impact parameterL21.2相移和冲击参数

[88] L21.3 Integral eq...

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30:26

L21.3 Integral equation for scattering and Green's functionL21.3散射和绿色功能的整体方程

[89] L22.1 Setting up ...

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21:07

L22.1 Setting up the Born SeriesL22.1设置出生的系列

[90] L22.2 First Born ...

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13:02

L22.2 First Born Approximation. Calculation of the scattering amplitudeL22.2第一个出生的近似。计算散射幅度

[92] L22.4 Identical p...

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19:41

L22.4 Identical particles and exchange degeneracyL22.4相同的粒子和交换退化

[93] L23.1 Permutation...

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22:22

L23.1 Permutation operators and projectors for two particlesL23.1两个粒子的置换运算符和投影仪

[94] L23.2 Permutation...

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11:44

L23.2 Permutation operators acting on operatorsL23.2在运营商上的置换运算符

[95] L23.3 Permutation...

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29:39

L23.3 Permutation operators on N particles and transpositionsL23.3 N粒子和换位上的置换运算符

[96] L23.4 Symmetric a...

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11:34

L23.4 Symmetric and Antisymmetric states of N particlesL23.4 n粒子的对称和反对称状态

[97] L24.1 Symmetrizer...

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16:49

L24.1 Symmetrizer and antisymmetrizer for N particlesL24.1对称仪和N颗粒的防抗体器

[98] L24.2 Symmetrizer...

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24:54

L24.2 Symmetrizer and antisymmetrizer for N particles (continued)L24.2 N颗粒的对称剂和防灭反对子剂（续）

[99] L24.3 The symmetr...

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11:38

L24.3 The symmetrization postulateL24.3对称化假设

[100] L24.4 The symmetr...

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L24.4 The symmetrization postulate (continued)L24.4对称化假设（续）