第二次作業10/3.......(繳交期限10-20)
第三次作業10/17.....(繳交期限10-28)
(參考書籍: A modern Course in Statistical Physics by L. E. Reichl - ch.9, pp.304, problems 1, 2, 5)
(參考書籍: A modern Course in Statistical Physics by L. E. Reichl - ch.9, pp.304, problems 9, 11, 15, 18)
1. 期末作業下載 (期末作業裡有10題題目，但只需要選 2 題來寫，並於1月9日星期五繳交)
2. 第27屆全國力學會議心得1000字 (有關2位大會邀請演講者的演講內容)，於1月2日繳交。
每個人找一篇有關投影算符(Projection Operator)的論文進行報告，於1月2日進行報告，每個人15分鐘。
上課內容
(958kb)
Liouville
Equation (269kb)
講義 (311kb)平衡態統計力學 (572kb)
講義 (315kb) 非平衡態統計力學 (599kb)
講義 (271kb)
3-2-2講義 (214kb)
12月26日之上課投影片2. L.E. Reichl, "A Modern Course in Statistical Physics", John Wiley & Sons.
3. Radu Balescu, "Equilibrium and Nonequilibrium Statistical Mechanics", A Wiley-Interscience Publication.
4. Van P. Carey, "Statistical Thermodynamics and Microscale Thermophysics", Cambridge.
5. Dieter H. E. Cross, "Microcanonical Thermodynamics", World Scientific.
6. L. D. Landua and E. M. Lifshitz,
"Mechanics (Course of Theoretical Physics; v.1)", Thrid Edition, Pergamon
Press Ltd.
7. John Daivd Jackson, "Classical Electrodynamics", Third Edition, John
Wiley & Sons.
8. 原著: Herbert Goldstein, 議著: 郭鴻銘,"古典力學", 第二版,曉園出版社.
古典投影算符
5. Exact Time Evolution of the Density of a Classical Many-Body System: The Open One-Dimensional Gravitational Gas A.Muriel ,
P.Esguerra ; Physical Review E v.54(2) pp1433 1996
A.Muriel ; American Journal of Physics v.45(8) pp701 1977
2. Quantal Master Equation Valid for Any Time Scale Natsuki Hashitsume , Fumiaki Shibata , Mayumi Shingu Journal of Statistical Physics
v.17(4) pp155 1977
3. A Generalized Stochastic Liouville Equation Non-Markovian Versus Memoryless Master Equation Fumiaki Shibata , Yoshinori Takahashi
, Natsuki Hashitsume Journal of Statistical Physics v.17(4) pp171 1977
4. A Markoffian Master Equation for High-Field Electron Transport N.Pottier ; Physica v.117A PP243 1983
5. Unified
Projection Operator Formalism in Nonequilibrium Statistical Mechanics
Chikako Uchiyama , Fumiaki Shibata
Physical Review E v.60(3) pp2636 1999
海森堡表象
1. A
Systematic Projection Operator Formalism in Nonequilibrium Statistical
Mechanics Chikako Uchiyama , Fumiaki Shibata
Journal of the Physical Society of Japan v.65(4) pp887 1996
2. A Projection Operator Method in the Heisenberg Picture Kae Nemoto , Fumiaki Shibata Journal of the Physical Society of Japan v.65(11)
pp3492 1996
3. Unified
Projection Operator Formalism in Nonequilibrium Statistical Mechanics
Chikako Uchiyama , Fumiaki Shibata
Physical Review E v.60(3) pp2636 1999
4. A New
Expansion of the Heisenberg Equation of Motion with Projection Operator
Tomoi Koide , Masahiro Maruyama ;
Progress of Theoretical Physics v.104(3) pp575 2000
5. Derivation of Transport Equation Using the Time-Dependent Projection Operator Method Tomoi Koide ; Progress of Theoretical Physics
v.107(3) pp525 2002
交互作用表象
1. Self-Consistent Projection Operator Method for Describing the non-Markovian Time-Evolution of Subsystems J.Seke ; Journal of Physics A
v.23 ppL61 1990
2. Analysis of the Projection-Operator Method:Inconsistencies and Their Removal J.Seke ; J. Phys. A v.24 pp2121 1991
3. Novel
Technique for Quantum-Mechanical Eigenstate and Eigenvalue Calculatiions
Based on Seke's Self-Consistent Projection-Operator
Method J.Seke , A.V.Soldatov , N.N.Bogolubov Jr. Modern Physics Letters
B v.11(6) pp245 1997
4. The Seke
Self-Consistent Projection-Operator Approach for the Calculation of
Quantum-Mechanical Eigenvalues and Eigenstates
J.Seke , A.V.Soldatov , N.N.Bogolubov Jr Physica A v.246 pp221 1997
5. The Time-Convolutionless Projection Operator Technique in the Quantum Theory of Dissipation and Decoherence Heinz-Peter Breuer ,
Bernd Kappler Annals of Physics v.291 pp36 2001