内容
Two books, one is written in English and the other is in Japanese, will
be published on the basis of this lecture. The book description and contents (tentative) are as follows:
The principles of equilibrium statistical mechanics are presented on the basis of recent advances in research on its foundations. Instead of traditional but misleading arguments, this book is based on the typicality, i.e., the fact that almost all microstate is an equilibrium state. This leads to many possible formulations of statistical mechanics, including the traditional ensemble formulation and the new formulation called the thermal pure quantum formulation. This book presents these two formulations, and clarify their relations, advantages and disadvantages in practical applications. The first nine chapters can be used as a textbook for undergraduate students. Although the latter chapters are for graduate students and researchers, they are written in such a way that motivated undergraduate students can also understand them.
1. What is statistical mechanics?
2. Brief summary of thermodynamics
3. Basic ideas - Typicality and Boltzmann relation
4. Ensemble formulation - principles
5. Requirement on microscopic physics
6. Other ensembles
7. Applications to classical particle systems
8. Application to quantum particle systems
9. Phase transitions
10. Thermal pure quantum formulation
11. Response to change of parameters
12. Fluctuations
13. Some advanced topics
Appendices
単位が欲しい人は、講義の内容で、計算を略したところとか、「自分で」と指示したところからいくつかを選んで、自分で計算した内容をレポートにしてください。
そのレポートには、講義の感想も書いておいてくださると助かります。
提出先：清水の居室（16号館2階２２３A）の入り口に張ってある提出用封筒に入れてください。
〆切：7月31日(金)17時
The principles of equilibrium statistical mechanics are presented on the basis of recent advances in research on its foundations. Instead of traditional but misleading arguments, this book is based on the typicality, i.e., the fact that almost all microstate is an equilibrium state. This leads to many possible formulations of statistical mechanics, including the traditional ensemble formulation and the new formulation called the thermal pure quantum formulation. This book presents these two formulations, and clarify their relations, advantages and disadvantages in practical applications. The first nine chapters can be used as a textbook for undergraduate students. Although the latter chapters are for graduate students and researchers, they are written in such a way that motivated undergraduate students can also understand them.
1. What is statistical mechanics?
2. Brief summary of thermodynamics
3. Basic ideas - Typicality and Boltzmann relation
4. Ensemble formulation - principles
5. Requirement on microscopic physics
6. Other ensembles
7. Applications to classical particle systems
8. Application to quantum particle systems
9. Phase transitions
10. Thermal pure quantum formulation
11. Response to change of parameters
12. Fluctuations
13. Some advanced topics
Appendices
レポートについて
単位が欲しい人は、講義の内容で、計算を略したところとか、「自分で」と指示したところからいくつかを選んで、自分で計算した内容をレポートにしてください。
そのレポートには、講義の感想も書いておいてくださると助かります。
提出先：清水の居室（16号館2階２２３A）の入り口に張ってある提出用封筒に入れてください。
〆切：7月31日(金)17時
注意
生の板書なので、誤字・脱字があります。
著作権は清水にあります。((c) Akira Shimizu)
last modified:
No.1 2015/04/10
No.2 2015/04/17
No.3 2015/04/24
No.4 2015/05/01
No.5 2015/05/08
No.6 2015/05/22
No.7 2015/05/29
No.8 2015/06/05
No.9 2015/06/12
No.10 2015/06/19
No.11 2015/06/26
No.12 2015/07/03
次の板書は写真を取り忘れたので、龍田さんのノートを写真に撮らせていただきました：
No.13 2015/07/10
この後は、時間がなくなって、口頭でしゃべることになってし まったので、口語ノートの該当部分をアップします（読めるかな？）。東大教師のノートはみな美しい。。。。はず。上の龍田さんのノートに比べてどうでしょ うか？レポートはその感想も書いておいてくれると、その内容如何によっては、点をアップダウンします。うふふふふ（←嘘）。
この講義はこれでおしまいです。お疲れ様でした。