Type of Credit: Required
Credit(s)
Number of Students
為巨觀的熱力現象提供定量上的、微觀的、古典或量子統計理論計算。本課程內容以平衡態統計力學為主。
預備知識：已修或至少同時修習量子力學（一）
能力項目說明
目標：
(一)使學生認識微觀多體系統最重要的物理理論及其應用
(二)培養學生解析能力及相關數學的運用
(三)奠立學生修習本所其他課程及進一步於自然科學領域深造的物理基礎
學習成效：認識並掌握統計力學的觀念及必備的數學方法
| 教學週次Course Week | 彈性補充教學週次Flexible Supplemental Instruction Week | 彈性補充教學類別Flexible Supplemental Instruction Type |
|---|---|---|
Week 1: Introduction
Week 2: Review of Thermodynamics
laws of thermodynamics; thermodynamic processes; thermodynamic entropy; thermodynamic potentials
Weeks 3-4: Entropy
microstates vs. macrostates; the statistical definition of entropy; entropy in information theory
Weeks 5-9: Equilibrium Statistical Mechanics
ensemble theory; maximum entropy principle; microcanonical ensemble; canonical ensemble; grand canonical ensemble
Weeks 10-13: Quantum Statistical Mechanics
systems of identical particles; occupation number representation; ideal Fermi gases; free electron model of metals; ideal Bose gases; Bose-Einstein condensate; black body radiation
Weeks 14-16: Phase Transitions and Critical Phenomena
classification of phase transitions; statistical models of phase transitions; [If time permits: Ginzburg-Landau theory; the Ising model in 1D and 2D; renormalization group]
20% 作業、課堂表現
40% 期中考、小考
40% 期末考
M. Kardar, Statistical Physics of Particles
P.K. Pathria, Statistical Mechanics
K. Huang, Introduction to Statistical Physics
| 書名 Book Title | 作者 Author | 出版年 Publish Year | 出版者 Publisher | ISBN | 館藏來源* | 備註 Note |
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