基本素養 Basic Literacy

具國際宏觀、社會與人文關懷的公民素養。
同理學院能力代碼B、C、D
To appredate the humanitles, cultivating talent with global perspectives, and to express social concern.
邏輯思考、理性判斷、嚴謹確實、合作創新與尊重學術倫理的科學態度。
同理學院代碼E、F、H
with respect to academic ethics and integrity, to equip oneself with a scientific attitude of logical thinking, rational judgement, discipline and practical, cooperation and innovation.

核心能力 Competence

基礎物理知識
Basic knowledge of Physics
進階物理知識
advance knowledge of Physics
高階物理知識
Knowledge of Advance Physics
科學實驗、數據分析、與解釋實驗結果的能力
To conduct an experiment, analyze data information and to explain the results of scientific experiments
程式設計與軟體應用的能力
programing capability

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
    1Classical Theory
    2Classical Theory
    3Harmonic Oscillators and Phonons. Second Quantization for Particles
    4Electron-Phonon Interaction. Spin Hamiltonians.
    5Photons. Pair Distribution Function.
    6Interaction Representation. S Matrix.
    7Green’s Functions. Wick’s Theorem. Feynman Diagrams.
    8Vacuum Polarization Graphs. Dyson’s Equation. Rules for Constructing Diagrams.
    9Midterm and Discussion
    10Time-Loop S Matrix. Photon Green’s Function.
    11Green’s Functions at Finite Temperatures. Matsubara Green’s Functions.
    12Retarded and Advanced Green’s Functions. Dyson’s Equation.
    13Real Time Green’s Functions. Kubo Formula for Electrical Conductivity.
    14Other Kubo Formulas. Exchange and Correlation.
    15Quantum Hall Effect
    16Wigner Lattice and Metallic Hydrogen. Cohesive Energy of Metals.
    17Linear Screening. Model Dielectric Functions.
    18Final
     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
    3.本課程是否可歸認為學術倫理課程? 否
    Is this course recognized as an academic ethics course? In the course how many hours are regarding academic ethics topics? No
    4.本課程是否屬進入社區實踐課程?
    Is this course recognized as a Community engagement and Service learning course? Which community will be engaged?