國立中山大學 102學年度第2學期 課程教學大綱

National Sun Yat-sen University 102Academic year Course syllabus

中文名稱
Course name(Chinese)

 統計力學（一）

課號
Course Code

 PHYS508

英文名稱
Course name(English)

 STATISTICAL MECHANICS (I)

課程類別
Type of the course

 講授類

必選修
Required/Selected

選修

系所
Dept./faculty

 物理學系碩士班

授課教師
Instructor

 陳宗緯    

學分
Credit

 3

因應嚴重特殊傳染性肺炎(武漢肺炎)，倘若後續需實施遠距授課，授課方式調整如下：
　　　　　　　　 尚未建立傳染性肺炎(武漢肺炎)授課方式調整

因應嚴重特殊傳染性肺炎(武漢肺炎)，倘若後續需實施遠距授課，評分方式調整如下：

　　　　　　　　 尚未建立傳染性肺炎(武漢肺炎)課程評分方式﹝評分標準及比例﹞

課程大綱 Course syllabus
　　　　　　　　 1. Review of Classical Mechanics
2. Classical Statistical Mechanics
3. Review of Quantum Mechanics
4. Quantum Statistical Mechanics
5. Some Topics: Path integral, Renormalization group, Monte Carlo, etc.












課程目標 Objectives
　　　　　　　　 This is a one-semester course on statistical mechanics. The scope of Statistical Mechanics is to figure out the macroscopic phenomena of a many-particle system based on its microscopic constituents and their interactions. Starting from the microscopic motion governed by Hamilton equations in phase space, the Liouville theorem enables us to construct the statistical distribution of a system, which plays an important role in obtaining the thermal average of physical quantities. This course primarily aims at graduate and advanced undergraduate students in physics or chemistry who want to learn theoretical approaches for solving many-particle problems. This course offers the theoretical part of the emergence and interesting results of statistical mechanics. Basic concepts examined in this course are: the Lagrangian and Hamiltonian formulations, canonical transformation and Liouville theorem, ensemble theory; quantum mechanics, identical particles and density matrix, Fermi and Dirac statistics. Students will learn in this course how to solve problems and understand statistical method of many particles. I will follow the outline but not precisely the contents of the textbook, and the material will also include my understanding of the subject.
Textbooks:
Required: Tuckerman, Statistical Mechanics, Oxford (2010) ISBN: 9780198525264
Recommended: Callen, Thermodynamics and Thermostatistics, Wiley (1985) ISBN: 0471862568



授課方式 Teaching methods
　　　　　　　　 Times of course: 3 hours a week.
I will explain and describe each subject in English to students in each lecture and derive these related mathematical formulae on a blackboard. Because this is a Full-English course, students are encouraged to ask and/or discuss questions with me in English during the class and office-hours.
Office hour: 2 hours a week.
Prerequisites: (Recommend)
Undergraduate courses: Thermodynamics and/or Thermostatistics
Graduate courses: Classical Mechanics and Quantum Mechanics (I)
Assessment: Assessment will be Mid-Term and Final Exams. Students should take two exams without any excuses except (verifiable) illness attested to by a medical doctor. If possible, you should notify me of this before exam. A missed exam also counts as a zero in final grade. A student who has been excused may be required to take a make-up exam. The content of make-up exam will be entirely different from the scheduled exam. The solution of the exam will be available after the exam. I also encourage the interactive class and I will take this into account when grading. Finally, I will not grade on attendance.






評分方式﹝評分標準及比例﹞Evaluation (Criteria and ratio)等第制單科成績對照表 letter grading reference

　　　　　　　　
1.Mid-Term：50%
2.Final：50%

參考書/教科書/閱讀文獻 Reference book/ textbook/ documents
〔請遵守智慧財產權觀念，不可非法影印。教師所提供之教材供學生本人自修學習使用,不得散播及做為商業用途〕
No copies for intellectual property rights. Textbooks provided by the instructor used only for self-study, can not broadcast or commercial use

　　　　　　　　
序號作者書名出版社出版年出版地ISBN#
1H. CallenThermodynamics and thermostatisticsWiley1985USA0471862568
2K. HuangStatistical MechanicsWiley1987USA9780471815181
3Shang-Keng, MaStatistical MechanicsWorld Scientific1985Singapore9789971966072
4Linda E. ReichlA Modern Course in Statistical PhysicsWiley-VCH2009USA3527407820
5Donald Allan McQuarrieStatistical MechanicsUniversity Science Books2000USA1891389157
6David ChandlerIntroduction to Modern Statistical MechanicsOxford University Press1987USA0195042778
7B. K. Agarwal and M. EisnerStatistical MechanicsNew Age International1998New Delhi8122411576
8F. SchwablStatistical MechanicsSpringer2010Germany3642068871
9Michel Le Bellac, Fabrice Mortessagne, G. George BatrouniEquilibrium and Non-equilibrium Statistical ThermodynamicsCambridge2010United Kingdom052152895X
10TuckermanStatistical MechanicsOxford2010USA9780198525264

彈性暨自主學習規劃 Alternative learning periods
本門課程是否有規劃實施學生彈性或自主學習內容（每1學分2小時）
Is any alternative learning periods planned for this course (with each credit corresponding to two hours of activity)?
否：教師需於「每週課程內容及預計進度」填寫18週課程進度（每1學分18小時之正課內容）。
No：The instructor will include an 18-week course plan in the weekly scheduled progress (each credit corresponds to 18 hours of instruction)
是：教師需於「每週課程內容及預計進度」填寫16週課程內容（每1學分16小時之正課內容），並於下列欄位填寫每1學分2小時學生彈性或自主學習內容。
    Yes：The instructor will include a 16-week course plan in the weekly scheduled progress (each credit corresponds to 16 hours of instruction);the details of the planned alternative learning periods are provided below (each credit corresponds to two hours of activity).

學生彈性或自主學習活動
Alternative learning periods		勾選或填寫規劃內容
Place a check in the appropriate box or provide details		時數
Number of hours
學生分組實作及討論
Group work and discussion
參與課程相關作業、作品、實驗
Participation in course-related assignments, work, or experiments
參與校內外活動（研習營、工作坊、參訪）或競賽
Participation in on- or off-campus activities (e.g., seminars, workshops, and visits) or competitions
課外閱讀
Extracurricular reading
線上數位教材學習
Learning with online digital learning materials
其他（請填寫規劃內容）
Other (please provide details)

每週課程內容及預計進度 Weekly scheduled progress
　　　　　　　　
週次日期授課內容及主題
12014/02/17~2014/02/23Review of classical mechanics
22014/02/24~2014/03/02Theoretical foundations of classical statistical mechanics
32014/03/03~2014/03/09Theoretical foundations of classical statistical mechanics
42014/03/10~2014/03/16The microcanonical ensemble
52014/03/17~2014/03/23The microcanonical ensemble
62014/03/24~2014/03/30The canonical ensemble
72014/03/31~2014/04/06The canonical ensemble
82014/04/07~2014/04/13The grand canonical ensemble
92014/04/14~2014/04/20The grand canonical ensemble
102014/04/21~2014/04/27Mid-Term Exam
112014/04/28~2014/05/04Review of quantum mechanics
122014/05/05~2014/05/11Quantum ensembles and the density matrix
132014/05/12~2014/05/18Quantum ensembles and the density matrix
142014/05/19~2014/05/25The quantum ideal gases
152014/05/26~2014/06/01The quantum ideal gases
162014/06/02~2014/06/08The quantum ideal gases
172014/06/09~2014/06/15Topics (if possible)
182014/06/16~2014/06/22Final Exam

課業討論時間 Office hours
　　　　　　　　 時段1:
時間：星期四14:00~16:00
地點：理 PHY7006
時段2：
時間：星期五10:00~12:00
地點：理 PHY7006

系所學生專業能力/全校學生基本素養與核心能力 basic disciplines and core capabilitics of the dcpartment and the university
　　　　　　　　
系所學生專業能力/全校學生基本素養與核心能力課堂活動與評量方式
本課程欲培養之能力與素養紙筆考試或測驗課堂討論︵含個案討論︶個人書面報告、作業、作品、實驗群組書面報告、作業、作品、實驗個人口頭報告群組口頭報告課程規畫之校外參訪及實習證照/檢定參與課程規畫之校內外活動及競賽課外閱讀
※系所所學生專業能力
1.具備高階科學學識 VVVV      V
2.認識科學發展趨勢 VVVV      V
3.具備分析及解決問題之能力VVVV      V
※全校學生基本素養與核心能力
1.表達與溝通能力。V  V      V
2.探究與批判思考能力。V  V      V
3.終身學習能力。V  V      V
4.倫理與社會責任。           
5.美感品味。           
6.創造力。           
7.全球視野。           
8.合作與領導能力。           
9.山海胸襟與自然情懷。           

本課程與SDGs相關項目：The course relates to SDGs items:

　　　　　　　　 尚未建立SDGS資料

本課程校外實習資訊: This course is relevant to internship:

　　　　　　　　 本課程無註記包含校外實習

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