量子力學
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課程簡介
- 資源下載
- 第0-1講、Chapter 0 Complex Linear Algebra
- 第0-2講、Dirac Bra Ket Notation
- 第0-3講、Spectral Decomposition
- 第0-4講、Commutability & Compatibility ; Simultaneous eigenstates
- 第0-5講、Unitary Operator & Hausdorff – Campbell formula
- 第0-0講、量子力學的歷史
- 第1-1講、Chapter 1 : The Principle Of Superposition
- 第1-2講、Interference of Photon
- 第1-3講、Quantum Probability vs. Classical Probability
- 第2-1講、Chapter 2+1/2 Dynamical Variables & Observables
- 第2-2講、Chapter 2+1/2 Dynamical Variables & Observables
- 第2-3講、Space Inversion Operator
- 第2-4講、The Spin of the Electron
- 第3-1講、(Quantum Dynamics) The Equations of Motion
- 第3-2講、(Quantum Dynamics) Algebra of Pauli Matrices
- 第3-3講、(Quantum Dynamics) Rabi Oscillations
- 第3-4講、Heisenberg’s form for the equations of motion [Heisenberg’s Picture]
- 第3-5講、Spin precession in Heisenberg’s Picture
- 第3-6講、NMR ,Rabi Oscillation ,and Rotating Frame Hamiltonian
- 第 4-1 講、Chapter 4: The Quantum Conditions 1
- 第 4-2 講、Schrodinger’s Representation
- 第 5-1 講、Quantum Harmonic Oscillator
- 第 5-2 講、Time development of Quantum Harmonic Oscillator
- 第5-3 講、Coherent States & Quantum 2-D Harmonic Oscillator (1)
- 第5-3 講、Coherent States & Quantum 2-D Harmonic Oscillator (2)
- 第5-3 講、Coherent States & Quantum 2-D Harmonic Oscillator (3)
- 第5-4 講、Quantum Hall effect and Laughlin’s Wave functions
- 第5-5講、2-D Hydrogen Atom
- VI Symmetry and Conservation Law
- Angular Momentum:Rotation Group
- Angular Momentum:Rotation Operator in Quantum mechanics
- Orbital Angular Momentum
- Addition of Two Spin 1/2's
- Addition of Angular Momentum
- Pauli's theory of Hydrogen Atom 1
- Pauli's theory of Hydrogen Atom 2
- Pauli's theory of Hydrogen Atom 3
- The Hyperfine Splitting in Hydrogen
- Feynman Path Integral and Action Principle
- Feynman Path Integral (Mathematical Formulation)
- Feynman Path Integral of Free Particle
- Feynman Path Integral of Harmonic Oscillator 1
- Feynman Path Integral of Harmonic Oscillator 2
- Feynman Path Integral of Forced Harmonic Oscillator
- Time Independent Perturbation Theory
- Einstein A.B Coefficient
- Dirac Picture & Fermi Golden Rule- Time Dependent Perturbation Theory
- Collision Theory
- Born Approximation
- Method of Partial Waves
- Hard-Sphere Scattering
- Scattering Length in BEC
- Breit-Wigner Formula in Resonance Scattering
- Identical Particles
- Assembles of Bosons and Oscillators
- Fock's Representation of Bosons
- Second Quantization of Boson Field
- Symmetric One Particle Operator
- Second Quantization of Fermion Field
- Two Body Operater
- Classical Electrodynamics in Coulomb Gauge
- Radiation Field in Normal Variables
- Emission and Absorption of Bosons
- Quantization of the Free Radiation Field
- Interaction Energy Between an Atom and Photons
- Emission and Absorption of Photons by Atom
- Photoelectric Effect of Hydrogen Atom
- Emission of Radiation
- Selection Rule for Dipole Transition
- Scattering of Radiation
- HEISENBERG-KRAMERS Dispersion Formula
- Refractive Index and KRAMERS-HEISENBERG Dispersion Formula
- Dirac Equation
- Dirac Algebra 1
- Dirac Algebra 2
- Dirac Equation for Electron in E.M. Field
- Representation of Lorentz Group
- Particle-Antiparticle Charge Conjugation, Parity, Time Reversal
- Charge Conjugation Time Reveasal
- Current Density in DIRAC Basis
- Plane Wave Spinor in DIRAC Equation
- Fermi β Decay Theory