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課程名稱 |
統計物理二
Statistical Physics (Ⅱ) |
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開課學期 |
108-1 |
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授課對象 |
理學院 物理學研究所 |
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授課教師 |
高英哲 |
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課號 |
Phys8015 |
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課程識別碼 |
222 D1620 |
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班次 |
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學分 |
4.0 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期二8,9(15:30~17:20)星期五7,8(14:20~16:20) |
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上課地點 |
新物517新物517 |
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備註 |
總人數上限：30人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1081Phys8015 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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課程概述 |
In this course, we will cover more advanced topics in statistical mechanics, including interacting bosonic and fermionic systems, second quantization, collective behavior, phase transitions and critical phenomena. Analytical and numerical techniques to study these problems, such as renormalization group, and Monte Carlo simulations will be introduced. |
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課程目標 |
The objective of the course is to develop understanding and technical skills for interacting manybody systems. |
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課程要求 |
midterm: 50%
final project+ presentation: 50%
prerequisite: Statistical Mechanics I, Quantum Mechanics |
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預期每週課後學習時數 |
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Office Hours |
每週一 11:00~12:00 |
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指定閱讀 |
Statistical Physics of Fields, Mehran Kardar, Cambridge University Press.
Statistical Mechanics, 3rd Ed., R K Pathria Paul D. Beale, 2011 Elsevier Ltd.
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參考書目 |
Lectures on Phase Transitions and the Renormalization Group, Nigel Goldenfeld, CRC Press. |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
Midterm |
50% |
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2. |
Final project+presentation |
50% |
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週次 |
日期 |
單元主題 |
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第1週 |
9/10,9/13 |
9/10: Preliminary; Interacting Classical Gases (I)
9/13: No class |
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第2週 |
9/17,9/20 |
9/17: Interacting Classical Gas (II)
9/20: Interacting Classical Gas (III) |
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第3週 |
9/24,9/27 |
9/24: Collective Behavior, from Particles to Fields (I)
9/27: Collective Behavior, from Particles to Fields (II) |
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第4週 |
10/01,10/04 |
10/01: Phase transition and critical phenomena (I)
10/04: Phase transition and critical phenomena (II) |
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第5週 |
10/08,10/11 |
10/08: Phase transition and critical phenomena (III)
10/11:No class |
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第6週 |
10/15,10/18 |
10/15: Guest lecture: Classical Monte Carlo method
10/18: Guest lecture: Finite-Size Scaling |
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第7週 |
10/22,10/25 |
10/22: Landau-Ginzburg theory (I)
10/25: Landau-Ginzburg theory (II) |
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第8週 |
10/29,11/01 |
10/29: Fluctuations and Ginzburg criterion
11/01: Scaling hypothesis and RG |
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第9週 |
11/05,11/08 |
11/05: Scaling and Renormalization Group
11/08: Midterm |
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第10週 |
11/12,11/15 |
11/12: Gaussian Model
11/15: No class |
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第11週 |
11/19,11/22 |
11/19: Perturbative RG (I)
11/22: Perturbative RG (II) |
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第12週 |
11/26,11/29 |
11/26: Perturbative RG (III)
11/29: No class |
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第13週 |
12/03,12/06 |
12/03: Quantum Workshop
12/06: Tensor Network Workshop |
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第14週 |
12/10,12/13 |
12/10: Perturbative RG (IV)
12/13: Exact solutions of Ising models (1D) |
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第15週 |
12/17,12/20 |
12/17: Exact solutions of Ising models (2D, Duality)
12/20: Real-space RG (1D Ising model) |
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第16週 |
12/24,12/27 |
12/24: Real space RG (2D triangular lattice Ising model)
12/27: Transfer matrix revisted |
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第17週 |
12/31,1/03 |
12/31: Tensor Renormalization Group |
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