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

讓學生深入了解多體交互作用及計算方法。

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.

課程學習融入下列議題或具有下列內涵的程度
Immersing the Following Issues or Contents

議題或內容 Issues or Contents關聯性 Correlation
生命教育 Life Education 無相關 No correlation
服務學習 Service Learning 無相關 No correlation
性別平等 Gender Equity 無相關 No correlation
環境安全 Environmental Safety 無相關 No correlation
環境保護 Environmental Protection 無相關 No correlation
智慧財產權 Intellectual Property 無相關 No correlation
法治教育 Law-Related Education 無相關 No correlation
人權教育 Human Rights Education 無相關 No correlation

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