MIT 8.04 Quantum Physics I, Spring 2016麻省理工：量子物理 I，2016春-L6.2 Is probability conserved? Hermiticity of the Hamiltonian.L6.2 概率守恒吗？哈密顿量的厄密性-网易公开课

已购课程

个人中心 

内容中心

 关注我们

进入关怀模式

APP下载

反馈

L6.2 Is probability conserved? Hermiticity of the Hamiltonian.L6.2 概率守恒吗？哈密顿量的厄密性

1845 播放

下载

手机看

登录后可发评论

评论沙发是我的～

选集(114)

自动播放

[1] L1.1 Quantum mech...

2.8万播放

17:48

L1.1 Quantum mechanics as a framework. Defining linearity.L1.1 量子力学的框架定义线性

[2] L1.2 Linearity an...

7427播放

10:02

L1.2 Linearity and nonlinear theories. Schrödinger’s equation.L1.2 线性和非线性理论薛定谔方程

[3] L1.3 Necessity of...

5299播放

07:38

L1.3 Necessity of complex numbers.L1.3 复数的必要性

[4] L1.4 Photons and ...

5518播放

17:20

L1.4 Photons and the loss of determinism.L1.4 光子与决定论的丧失

[5] L1.5 The nature o...

4992播放

14:30

L1.5 The nature of superposition. Mach-Zehnder interferometer.l1.5 叠加的本质马赫曾德耳干涉仪

[6] L2.1 More on supe...

4549播放

17:10

L2.1 More on superposition. General state of a photon and spin states.L2.1 更多关于叠加。光子的一般状态和自旋状态。

[7] L2.2 Entanglement...

5238播放

13:07

L2.2 Entanglement.L2.2 量子纠缠

[8] L2.3 Mach-Zehnder...

3642播放

15:31

L2.3 Mach-Zehnder interferometers and beam splitters.L2.3 马赫-曾德干涉仪和分束器

[9] L2.4 Interferomet...

2628播放

12:24

L2.4 Interferometer and interference.L2.4 干涉仪和干扰

[10] L2.5 Elitzur-Vaid...

2100播放

10:29

L2.5 Elitzur-Vaidman bombs.L2.5 Elitzur-Vaidman炸弹

[11] L3.1 The photoele...

3062播放

22:54

L3.1 The photoelectric effect.L3.1 the photoelectric effect

[12] L3.2 Units of h a...

2479播放

12:40

L3.2 Units of h and Compton wavelength of particles.L3.2 粒子的康普顿波长

[13] L3.3 Compton Scat...

3412播放

22:36

L3.3 Compton Scattering.L3.3 康普顿散射

[14] L3.4 de Broglie’s...

2740播放

10:36

L3.4 de Broglie’s proposal.l3.4 德布罗意的提议

[15] L4.1 de Broglie w...

2931播放

14:52

L4.1 de Broglie wavelength in different frames.不同帧的德布罗意波长

[16] L4.2 Galilean tra...

2176播放

12:15

L4.2 Galilean transformation of ordinary waves.L4.2 普通波的伽利略变换

[17] L4.3 The frequenc...

2354播放

10:22

L4.3 The frequency of a matter wave.L4.3 物质波的频率

[18] L4.4 Group veloci...

2394播放

10:31

L4.4 Group velocity and stationary phase approximation.L4.4 群速度和稳定相近似

[19] L4.5 Motion of a ...

1556播放

08:58

L4.5 Motion of a wave-packet.L4.5 波包的运动

[20] L4.6 The wave for...

2448播放

14:32

L4.6 The wave for a free particle.L4.6 自由粒子的波

[21] L5.1 Momentum ope...

1485播放

20:31

L5.1 Momentum operator, energy operator, and a differential equation.L5.1 动量算符，能量算符，和微分方程

[22] L5.2 Free Schrödi...

1534播放

09:55

L5.2 Free Schrödinger equation.L5.2 自由薛定谔方程

[23] L5.3 The general ...

2097播放

17:57

L5.3 The general Schrödinger equation. x, p commutator.L5.3通用薛定谔方程式。x，p换向器。

[24] L5.4 Commutators,...

2042播放

16:12

L5.4 Commutators, matrices, and 3-dimensional Schrödinger equation.L5.4 换向器、矩阵和三维薛定谔方程

[25] L5.5 Interpretati...

1883播放

07:56

L5.5 Interpretation of the wavefunction.L5.5 解读波函数

[26] L6.1 Normalizable...

1374播放

16:48

L6.1 Normalizable wavefunctions and the question of time evolution.L6.1 可归一化的波函数和时间演化的问题

[27] L6.2 Is probabili...

1845播放

待播放

L6.2 Is probability conserved? Hermiticity of the Hamiltonian.L6.2 概率守恒吗？哈密顿量的厄密性

[28] L6.3 Probability ...

2284播放

15:19

L6.3 Probability current and current conservation.L6.3 概率流量和流量守恒

[29] L6.4 Three dimens...

1945播放

18:10

L6.4 Three dimensional current and conservation.L6.4三维电流和守恒

[30] L7.1 Wavepackets ...

1149播放

11:13

L7.1 Wavepackets and Fourier representation.L7.1波包和傅立叶表示法

[31] L7.2 Reality cond...

1548播放

09:08

L7.2 Reality condition in Fourier transforms.L7.2 傅里叶变换中的实境条件

[32] L7.3 Widths and u...

1750播放

19:11

L7.3 Widths and uncertainties.L7.3 宽度和不确定性

[33] L7.4 Shape change...

1467播放

16:55

L7.4 Shape changes in a wave.L7.4 波浪的形状变化

[34] L7.5 Time evoluti...

1450播放

09:43

L7.5 Time evolution of a free particle wavepacket.L7.5 自由粒子波包的时间演化

[35] L8.1 Fourier tran...

3102播放

13:56

L8.1 Fourier transforms and delta functions.L8.1 傅立叶变换和德尔塔函数。

[36] L8.2 Parseval ide...

1440播放

15:48

L8.2 Parseval identity.L8.2 parseval identity

[37] L8.3 Three-dimens...

1842播放

06:03

L8.3 Three-dimensional Fourier transforms.L8.3三维傅里叶变换。

[38] L8.4 Expectation ...

1351播放

28:14

L8.4 Expectation values of operators.L8.4运营商的期望值。

[39] L8.5 Time depende...

1701播放

07:37

L8.5 Time dependence of expectation valuesL8.5 期望值的时间相关性

[40] L9.1 Expectation ...

1405播放

16:39

L9.1 Expectation value of Hermitian operators.L9.1封闭师运营商的期望值。

[41] L9.2 Eigenfunctio...

1241播放

13:05

L9.2 Eigenfunctions of a Hermitian operator.L9.2麦克尔维亚算子的特征功能。

[42] L9.3 Completeness...

836播放

16:55

L9.3 Completeness of eigenvectors and measurement postulate.L9.3特征向量的完整性和测量假设。

[43] L9.4 Consistency ...

1230播放

17:44

L9.4 Consistency condition. Particle on a circle.L9.4一致性条件。粒子上的粒子。

[44] L9.5 Defining unc...

1172播放

10:30

L9.5 Defining uncertainty.L9.5定义不确定性。

[45] L10.1 Uncertainty...

1089播放

15:51

L10.1 Uncertainty and eigenstates.L10.1 不确定性和本征态。

[46] L10.2 Stationary ...

1319播放

18:41

L10.2 Stationary states: key equations.L10.2 静止状态：关键方程。

[47] L10.3 Expectation...

1406播放

08:59

L10.3 Expectation values on stationary states.L10.3固定状态的预期值。

[48] L10.4 Comments on...

1454播放

13:09

L10.4 Comments on the spectrum and continuity conditions.L10.4关于频谱和连续性条件的评论。

[49] L10.5 Solving par...

1646播放

11:04

L10.5 Solving particle on a circle.L10.5 在圆上求解粒子。

[50] L11.1 Energy eige...

1570播放

16:11

L11.1 Energy eigenstates for particle on a circle.L11.1圆形上的粒子的能量特征。

[51] L11.2 Infinite sq...

1643播放

13:12

L11.2 Infinite square well energy eigenstates.L11.2无限平方井能源特征。

[52] L11.3 Nodes and s...

817播放

09:42

L11.3 Nodes and symmetries of the infinite square well eigenstates.L11.3无限平方井特征的节点和对称。

[53] L11.4 Finite squa...

1374播放

22:29

L11.4 Finite square well. Setting up the problem.L11.4有限平方井。提出问题。

[54] L11.5 Finite squa...

818播放

10:38

L11.5 Finite square well energy eigenstates.L11.5有限平方井能源特征。

[55] L12.1 Nondegenera...

844播放

12:34

L12.1 Nondegeneracy of bound states in 1D. Real solutions.L12.1 1D中绑定态的非策略。真实的解决方案。

[56] L12.2 Potentials ...

1257播放

14:17

L12.2 Potentials that satisfy V(-x) = V(x).L12.2 满足 V(-x) = V(x) 的势。

[57] L12.3 Qualitative...

1020播放

15:50

L12.3 Qualitative insights: Local de Broglie wavelength.L12.3定性见解：本地De Broglie波长。

[58] L12.4 Corresponde...

1717播放

05:53

L12.4 Correspondence principle: amplitude as a function of position.L12.4 对应原理：幅度作为位置的函数。

[59] L12.5 Local pictu...

1663播放

12:51

L12.5 Local picture of the wavefunction.L12.5波飞的本地图片。

[60] L12.6 Energy eige...

853播放

15:25

L12.6 Energy eigenstates on a generic symmetric potential. Shooting method.L12.6 一般对称势上的能量本征态。拍摄方法。

[61] L13.1 Delta funct...

1545播放

16:03

L13.1 Delta function potential I: Preliminaries.L13.1 Delta函数潜力I：预备。

[62] L13.2 Delta funct...

1155播放

15:20

L13.2 Delta function potential I: Solving for the bound state.L13.2 Delta 函数势 I：求解束缚态。

[63] L13.3 Node Theore...

1112播放

13:00

L13.3 Node Theorem.L13.3节点定理。

[64] L13.4 Harmonic os...

1231播放

16:41

L13.4 Harmonic oscillator: Differential equation.L13.4谐波振荡器：微分方程。

[65] L13.5 Behavior of...

1795播放

10:30

L13.5 Behavior of the differential equation.L13.5微分方程的行为。

[66] L14.1 Recursion r...

1436播放

12:25

L14.1 Recursion relation for the solution.L14.1解决方案的递归关系。

[67] L14.2 Quantizatio...

1176播放

23:18

L14.2 Quantization of the energy.L14.2能量量化。

[68] L14.3 Algebraic s...

1142播放

16:49

L14.3 Algebraic solution of the harmonic oscillator.L14.3 谐振子的代数解。

[69] L14.4 Ground stat...

1365播放

15:56

L14.4 Ground state wavefunction.L14.4地面态波功能。

[70] L15.1 Number oper...

1621播放

15:48

L15.1 Number operator and commutators.L15.1号码运营商和换向器。

[71] L15.2 Excited sta...

1624播放

18:18

L15.2 Excited states of the harmonic oscillator.L15.2激发谐波振荡器的兴奋状态。

[72] L15.3 Creation an...

1500播放

21:03

L15.3 Creation and annihilation operators acting on energy eigenstates.L15.3 作用于能量本征态的湮灭算符

[73] L15.4 Scattering ...

1116播放

10:34

L15.4 Scattering states and the step potential.L15.4 散射态和阶跃势

[74] L16.1 Step potent...

1099播放

14:59

L16.1 Step potential probability current.L16.1 阶跃势概率流

[75] L16.2 Reflection ...

1325播放

08:11

L16.2 Reflection and transmission coefficients.L16.2反射和传输系数。

[76] L16.3 Energy belo...

1232播放

18:40

L16.3 Energy below the barrier and phase shift.L16.3低于屏障和相移的能量。

[77] L16.4 Wavepackets...

1795播放

20:51

L16.4 Wavepackets.l16.4波波皮。

[78] L16.5 Wavepackets...

826播放

05:54

L16.5 Wavepackets with energy below the barrier.L16.5带有低于屏障的波波皮。

[79] L16.6 Particle on...

1492播放

06:49

L16.6 Particle on the forbidden region.L16.6禁区上的粒子。

[80] L17.1 Waves on th...

919播放

15:44

L17.1 Waves on the finite square well.L17.1在有限平方井上的波浪。

[81] L17.2 Resonant tr...

743播放

17:49

L17.2 Resonant transmission.L17.2谐振传输。

[82] L17.3 Ramsauer-To...

1489播放

10:15

L17.3 Ramsauer-Townsend phenomenology.L17.3 拉姆绍尔-汤森现象学。

[83] L17.4 Scattering ...

1619播放

18:05

L17.4 Scattering in 1D. Incoming and outgoing waves.L17.4 1D中的散射。进出波浪。

[84] L17.5 Scattered w...

1637播放

08:40

L17.5 Scattered wave and phase shift.L17.5散射波和相移。

[85] L18.1 Incident pa...

1376播放

18:51

L18.1 Incident packet and delay for reflection.L18.1事件包和延迟反射。

[86] L18.2 Phase shift...

1848播放

09:13

L18.2 Phase shift for a potential well.L18.2 势阱的相移

[87] L18.3 Excursion o...

1098播放

15:16

L18.3 Excursion of the phase shift.L18.3相移的偏移。

[88] L18.4 Levinson's ...

1707播放

14:45

L18.4 Levinson's theorem, part 1.L18.4 Levinson的定理，第1部分。

[89] L18.5 Levinson's ...

1141播放

09:29

L18.5 Levinson's theorem, part 2.L18.5 Levinson的定理，第2部分。

[90] L19.1 Time delay ...

1303播放

18:18

L19.1 Time delay and resonances.L19.1时间延迟和共振。

[91] L19.2 Effects of ...

892播放

14:53

L19.2 Effects of resonance on phase shifts, wave amplitude and time delay.L19.2谐振对相移，波幅和时间延迟的影响。

[92] L19.3 Modeling a ...

1667播放

15:37

L19.3 Modeling a resonance.L19.3 模拟共振。

[93] L19.4 Half-width ...

844播放

08:17

L19.4 Half-width and time delay.l19.4半宽和时间延迟。

[94] L19.5 Resonances ...

976播放

15:14

L19.5 Resonances in the complex k plane.L19.5复杂k平面中的共振。

[95] L20.1 Translation...

1328播放

19:13

L20.1 Translation operator. Central potentials.L20.1翻译运算符。中心势。

[96] L20.2 Angular mom...

1085播放

14:27

L20.2 Angular momentum operators and their algebra.L20.2角动量运营商及其代数。

[97] L20.3 Commuting o...

1751播放

17:16

L20.3 Commuting observables for angular momentum.L20.3通勤可观察可观察到角动力。

[98] L20.4 Simultaneou...

1557播放

24:35

L20.4 Simultaneous eigenstates and quantization of angular momentum.L20.4同时终端和量化角动量。

[100] L21.2 Orthonormal...

1483播放

17:56

L21.2 Orthonormality of spherical harmonics.L21.2 球谐函数的正交性

[101] L21.3 Effective p...

853播放

14:28

L21.3 Effective potential and boundary conditions at r=0.L21.3 r = 0的有效潜力和边界条件。

[102] L21.4 Hydrogen at...

1593播放

25:04

L21.4 Hydrogen atom two-body problem.L21.4 氢原子二体问题。

[103] L22.1 Center of m...

1485播放

14:22

L22.1 Center of mass and relative motion wavefunctions.L22.1质量中心和相对运动波力。

[104] L22.2 Scales of t...

1015播放

09:56

L22.2 Scales of the hydrogen atom.L22.2氢原子的尺度。

[105] L22.3 Schrödinger...

1537播放

20:58

L22.3 Schrödinger equation for hydrogen.L22.3 氢气的薛定谔方程

[106] L22.4 Series solu...

1301播放

14:21

L22.4 Series solution and quantization of the energy.L22.4 能量的级数解和量子化

[107] L22.5 Energy eige...

1158播放

12:24

L22.5 Energy eigenstates of hydrogen.L22.5 氢的能量本征态

[108] L23.1 Energy leve...

1906播放

13:41

L23.1 Energy levels and diagram for hydrogen.L23.1 氢的能级和图表

[109] L23.2 Degeneracy ...

2658播放

14:20

L23.2 Degeneracy in the spectrum and features of the solution.L23.2 谱中的简并性与解的特征

[110] L23.3 Rydberg ato...

1595播放

26:22

L23.3 Rydberg atoms.L23.3 里德伯原子

[111] L23.4 Orbits in t...

1975播放

10:44

L23.4 Orbits in the hydrogen atom.L23.4 氢原子的轨道

[112] L24.1 More on the...

2430播放

23:21

L24.1 More on the hydrogen atom degeneracies and orbits.L24.1 更多关于氢原子的简并和轨道

[113] L24.2 The simples...

1620播放

13:54

L24.2 The simplest quantum system.L24.2最简单的量子系统。

[114] L24.3 Hamiltonian...

2517播放

15:42

L24.3 Hamiltonian and emerging spin angular momentum.L24.3 哈密顿量和自旋角动量

[115] L24.4 Eigenstates...

3884播放

14:03

L24.4 Eigenstates of the Hamiltonian.L24.4 哈密顿函数的本征态