基本素養 Basic Literacy

基礎物理知識

核心能力 Competence

中階物理知識
高階物理知識
物理相關數學能力
物理實驗能力
研究導向物理知識

課程概述 Course Description

讓學生深入了解多體交互作用及計算方法。 1 Harmonic Oscillators and Phonons. Second Quantization for Particles 2 Electron-Phonon Interaction. Spin Hamiltonians. 3 Photons. Pair Distribution Function. 4 Interaction Representation. S Matrix. 5 Green’s Functions. Wick’s Theorem. Feynman Diagrams. 6 Vacuum Polarization Graphs. Dyson’s Equation. Rules for Constructing Diagrams. 7 Time-Loop S Matrix. Photon Green’s Function. 8 Green’s Functions at Finite Temperatures. Matsubara Green’s Functions. 9 Retarded and Advanced Green’s Functions. Dyson’s Equation. 10 Frequency Summations. Linked Cluster Expansions. 11 Real Time Green’s Functions. Kubo Formula for Electrical Conductivity. 12 Other Kubo Formulas. Exchange and Correlation. 13 Wigner Lattice and Metallic Hydrogen. Cohesive Energy of Metals. 14 Linear Screening. Model Dielectric Functions. 15 Properties of the Electron Gas. Sum Rules. 16 One-Electron Properties. Electron-Phonon Interaction. 17 Frhlich Hamiltonian. Small Polaron Theory. 18 Heavily Doped Semiconductors. Metals.

課程學習目標 Course Objectives

  • quasi-particle interactions
  • Green's Functions
  • Kubo Formulas
  • 課程進度 Course Outline

    週次 Week進度說明 Progress Description
    1Harmonic Oscillators and Phonons. Second Quantization for Particles
    2Electron-Phonon Interaction. Spin Hamiltonians.
    3Photons. Pair Distribution Function.
    4Interaction Representation. S Matrix.
    5Green’s Functions. Wick’s Theorem. Feynman Diagrams.
    6Vacuum Polarization Graphs. Dyson’s Equation. Rules for Constructing Diagrams.
    7Time-Loop S Matrix. Photon Green’s Function.
    8Green’s Functions at Finite Temperatures. Matsubara Green’s Functions.
    9Retarded and Advanced Green’s Functions. Dyson’s Equation.
    10Frequency Summations. Linked Cluster Expansions.
    11Real Time Green’s Functions. Kubo Formula for Electrical Conductivity.
    12Other Kubo Formulas. Exchange and Correlation.
    13Wigner Lattice and Metallic Hydrogen. Cohesive Energy of Metals.
    14Linear Screening. Model Dielectric Functions.
    15Properties of the Electron Gas. Sum Rules.
    16One-Electron Properties. Electron-Phonon Interaction.
    17Frhlich Hamiltonian. Small Polaron Theory.
    18Heavily Doped Semiconductors. Metals.
     以上每週進度教師可依上課情況做適度調整。The schedule may be subject to change.

    有關課程其他調查 Other Surveys of Courses

    1.本課程是否規劃業界教師參與教學或演講? 否
    Is there any industry specialist invited in this course? How many times? No
    2.本課程是否規劃含校外實習(並非參訪)? 否
    Are there any internships involved in the course? How many hours? No