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量子力學 | 台大開放式課程線上共學社群
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共享筆記
目錄大綱
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1. 新手出發
1. 社群共學進行方式
2. 問題討論和共享筆記方式
2. 課程內容
1. 第0-1講、Chapter 0 Complex Linear Algebra
2. 第0-2講、Dirac Bra Ket Notation
3. 第0-3講、Spectral Decomposition
4. 第0-4講、Commutability & Compatibility ; Simultaneous eigenstates
5. 第0-5講、Unitary Operator & Hausdorff – Campbell formula
6. 第0-0講、量子力學的歷史
7. 第1-1講、Chapter 1 : The Principle Of Superposition
8. 第1-2講、Interference of Photon
9. 第1-3講、Quantum Probability vs. Classical Probability
10. 第2-1講、Chapter 2+1/2 Dynamical Variables & Observables
11. 第2-2講、Chapter 2+1/2 Dynamical Variables & Observables
12. 第2-3講、Space Inversion Operator
13. 第2-4講、The Spin of the Electron
14. 第3-1講、(Quantum Dynamics) The Equations of Motion
15. 第3-2講、(Quantum Dynamics) Algebra of Pauli Matrices
16. 第3-3講、(Quantum Dynamics) Rabi Oscillations
17. 第3-4講、Heisenberg’s form for the equations of motion [Heisenberg’s Picture]
18. 第3-5講、Spin precession in Heisenberg’s Picture
19. 第3-6講、NMR ,Rabi Oscillation ,and Rotating Frame Hamiltonian
20. 第 4-1 講、Chapter 4: The Quantum Conditions 1
21. 第 4-2 講、Schrodinger’s Representation
22. 第 5-1 講、Quantum Harmonic Oscillator
23. 第 5-2 講、Time development of Quantum Harmonic Oscillator
24. 第5-3 講、Coherent States & Quantum 2-D Harmonic Oscillator (1)
25. 第5-3 講、Coherent States & Quantum 2-D Harmonic Oscillator (2)
26. 第5-3 講、Coherent States & Quantum 2-D Harmonic Oscillator (3)
27. 第5-4 講、Quantum Hall effect and Laughlin’s Wave functions
28. 第5-5講、2-D Hydrogen Atom
29. VI Symmetry and Conservation Law
30. Angular Momentum：Rotation Group
31. Angular Momentum：Rotation Operator in Quantum mechanics
32. Orbital Angular Momentum
33. Addition of Two Spin 1/2's
34. Addition of Angular Momentum
35. Pauli's theory of Hydrogen Atom 1
36. Pauli's theory of Hydrogen Atom 2
37. Pauli's theory of Hydrogen Atom 3
38. The Hyperfine Splitting in Hydrogen
39. Feynman Path Integral and Action Principle
40. Feynman Path Integral (Mathematical Formulation)
41. Feynman Path Integral of Free Particle
42. Feynman Path Integral of Harmonic Oscillator 1
43. Feynman Path Integral of Harmonic Oscillator 2
44. Feynman Path Integral of Forced Harmonic Oscillator
45. Time Independent Perturbation Theory
46. Einstein A.B Coefficient
47. Dirac Picture & Fermi Golden Rule- Time Dependent Perturbation Theory
48. Collision Theory
49. Born Approximation
50. Method of Partial Waves
51. Hard-Sphere Scattering
52. Scattering Length in BEC
53. Breit-Wigner Formula in Resonance Scattering
54. Identical Particles
55. Assembles of Bosons and Oscillators
56. Fock's Representation of Bosons
57. Second Quantization of Boson Field
58. Symmetric One Particle Operator
59. Second Quantization of Fermion Field
60. Two Body Operater
61. Classical Electrodynamics in Coulomb Gauge
62. Radiation Field in Normal Variables
63. Emission and Absorption of Bosons
64. Quantization of the Free Radiation Field
65. Interaction Energy Between an Atom and Photons
66. Emission and Absorption of Photons by Atom
67. Photoelectric Effect of Hydrogen Atom
68. Emission of Radiation
69. Selection Rule for Dipole Transition
70. Scattering of Radiation
71. HEISENBERG-KRAMERS Dispersion Formula
72. Refractive Index and KRAMERS-HEISENBERG Dispersion Formula
73. Dirac Equation
74. Dirac Algebra 1
75. Dirac Algebra 2
76. Dirac Equation for Electron in E.M. Field
77. Representation of Lorentz Group
78. Particle-Antiparticle Charge Conjugation, Parity, Time Reversal
79. Charge Conjugation Time Reveasal
80. Current Density in DIRAC Basis
81. Plane Wave Spinor in DIRAC Equation
82. Fermi β Decay Theory
量子力學 | 台大開放式課程線上共學社群
問題討論
作業任務
共享筆記
目錄大綱
(0/0)
1. 新手出發
1. 社群共學進行方式
2. 問題討論和共享筆記方式
2. 課程內容
1. 第0-1講、Chapter 0 Complex Linear Algebra
2. 第0-2講、Dirac Bra Ket Notation
3. 第0-3講、Spectral Decomposition
4. 第0-4講、Commutability & Compatibility ; Simultaneous eigenstates
5. 第0-5講、Unitary Operator & Hausdorff – Campbell formula
6. 第0-0講、量子力學的歷史
7. 第1-1講、Chapter 1 : The Principle Of Superposition
8. 第1-2講、Interference of Photon
9. 第1-3講、Quantum Probability vs. Classical Probability
10. 第2-1講、Chapter 2+1/2 Dynamical Variables & Observables
11. 第2-2講、Chapter 2+1/2 Dynamical Variables & Observables
12. 第2-3講、Space Inversion Operator
13. 第2-4講、The Spin of the Electron
14. 第3-1講、(Quantum Dynamics) The Equations of Motion
15. 第3-2講、(Quantum Dynamics) Algebra of Pauli Matrices
16. 第3-3講、(Quantum Dynamics) Rabi Oscillations
17. 第3-4講、Heisenberg’s form for the equations of motion [Heisenberg’s Picture]
18. 第3-5講、Spin precession in Heisenberg’s Picture
19. 第3-6講、NMR ,Rabi Oscillation ,and Rotating Frame Hamiltonian
20. 第 4-1 講、Chapter 4: The Quantum Conditions 1
21. 第 4-2 講、Schrodinger’s Representation
22. 第 5-1 講、Quantum Harmonic Oscillator
23. 第 5-2 講、Time development of Quantum Harmonic Oscillator
24. 第5-3 講、Coherent States & Quantum 2-D Harmonic Oscillator (1)
25. 第5-3 講、Coherent States & Quantum 2-D Harmonic Oscillator (2)
26. 第5-3 講、Coherent States & Quantum 2-D Harmonic Oscillator (3)
27. 第5-4 講、Quantum Hall effect and Laughlin’s Wave functions
28. 第5-5講、2-D Hydrogen Atom
29. VI Symmetry and Conservation Law
30. Angular Momentum：Rotation Group
31. Angular Momentum：Rotation Operator in Quantum mechanics
32. Orbital Angular Momentum
33. Addition of Two Spin 1/2's
34. Addition of Angular Momentum
35. Pauli's theory of Hydrogen Atom 1
36. Pauli's theory of Hydrogen Atom 2
37. Pauli's theory of Hydrogen Atom 3
38. The Hyperfine Splitting in Hydrogen
39. Feynman Path Integral and Action Principle
40. Feynman Path Integral (Mathematical Formulation)
41. Feynman Path Integral of Free Particle
42. Feynman Path Integral of Harmonic Oscillator 1
43. Feynman Path Integral of Harmonic Oscillator 2
44. Feynman Path Integral of Forced Harmonic Oscillator
45. Time Independent Perturbation Theory
46. Einstein A.B Coefficient
47. Dirac Picture & Fermi Golden Rule- Time Dependent Perturbation Theory
48. Collision Theory
49. Born Approximation
50. Method of Partial Waves
51. Hard-Sphere Scattering
52. Scattering Length in BEC
53. Breit-Wigner Formula in Resonance Scattering
54. Identical Particles
55. Assembles of Bosons and Oscillators
56. Fock's Representation of Bosons
57. Second Quantization of Boson Field
58. Symmetric One Particle Operator
59. Second Quantization of Fermion Field
60. Two Body Operater
61. Classical Electrodynamics in Coulomb Gauge
62. Radiation Field in Normal Variables
63. Emission and Absorption of Bosons
64. Quantization of the Free Radiation Field
65. Interaction Energy Between an Atom and Photons
66. Emission and Absorption of Photons by Atom
67. Photoelectric Effect of Hydrogen Atom
68. Emission of Radiation
69. Selection Rule for Dipole Transition
70. Scattering of Radiation
71. HEISENBERG-KRAMERS Dispersion Formula
72. Refractive Index and KRAMERS-HEISENBERG Dispersion Formula
73. Dirac Equation
74. Dirac Algebra 1
75. Dirac Algebra 2
76. Dirac Equation for Electron in E.M. Field
77. Representation of Lorentz Group
78. Particle-Antiparticle Charge Conjugation, Parity, Time Reversal
79. Charge Conjugation Time Reveasal
80. Current Density in DIRAC Basis
81. Plane Wave Spinor in DIRAC Equation
82. Fermi β Decay Theory
第0-1講、Chapter 0 Complex Linear Algebra
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