| 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 | |