No.1035

1997/10/14〜1997/10/17

松井 卓

Taku Matsui

目　次

1. The Hot Free Algebra(Recent Trends in Infinite Dimensional Non-Commutative Analysis)----------------------------------------------1

　　　　　　　Accardi,L. / Kozyrev,S.V. / Volovich,I.V.

　

2. Perturbation Problem of Embedded Eigenvalues in Quantum Field Models and Representations of Canonical Commutation Relations(Recent Trends in Infinite Dimensional Non-Commutative Analysis)---19

　　　　Department of mathematics, Hokkaido University　　　新井 朝雄　(Arai,Asao)

　

3. Introduction to the Method of Non-Equilibrium Thermo Field Dynamics - A Unified System of Stochastic Differential Equations-(Recent Trends in Infinite Dimensional Non-Commutative Analysis)---33

　　　　筑波大学物理学系　　　有光 敏彦　(ARIMITSU,Toshihico)

　

4. A PRIORI ESTIMATES AND EXISTENCE THEOREMS FOR THE LINDBLAD EQUATION WITH UNBOUNDED TIME-DEPENDENT COEFFICIENTS(Recent Trends in Infinite Dimensional Non-Commutative Analysis)---44

　　　　M.V.LOMONOSOV MOSCOW STATE UNIVERSITY, QUANTUM STATISTICS DEPT. / MEXICO, UAM-I, DEPTO.DE MATEMATICAS / MEXICO, UAM-I, DEPTO.DE MATEMATICAS　　　CHEBOTAREV,ALEXANDER M. / GARCIA,JULIO C. / QUEZADA,ROBERTO

　

5. On Some Integration Formulae in Stochastic Analysis(Recent Trends in Infinite Dimensional Non-Commutative Analysis)--------------66

　　　　Department of Mathematics, Saitama University　　　道工 勇　(DOKU,Isamu)

　

6. Notions of independence related to free groups II: from Singleton Condition to Singleton Independence(Recent Trends in Infinite Dimensional Non-Commutative Analysis)---82

　　　　Centro Vito Volterra, Universita di Roma "Tor Vergata" / Graduate School of Polymathematics, Nagoya University / Graduate School of Polymathematics, Nagoya University　　　明出伊 類似 / 橋本 行博 / 尾畑 伸明　(Accardi,Luigi / Hashimoto,Yukihiro / Obata,Nobuaki)

　

7. An Expression of the Ground State Energy of the Spin-Boson Model(Recent Trends in Infinite Dimensional Non-Commutative Analysis)---95

　　　　Department of Mathematics, Tokyo Gakugei University　　　廣川 真男　(Hirokawa,Masao)

　

8. Central Limit Theorem Related to the Correlation of the Conjugacy Classes in the Infinite Symmetric Group(Recent Trends in Infinite Dimensional Non-Commutative Analysis)---104

　　　　Department of Environmental and Mathematical Sciences, Faculty of Environmental Science and Technology, Okayama University　　　洞 彰人　(Hora,Akihito)

　

9. A Gibbs Theory for States of Boson Systems(Recent Trends in Infinite Dimensional Non-Commutative Analysis)----------------------114

　　　　Institut fur Angewandte Mathematik, Fakultat fur Mathematik und Informatik, Friedrich-Schiller-Universitat Jena　　　Liebscher,Volkmar

　

10. STRONG SUBADDITIVITY PROPERTY OF ENTROPY IN FERMION SYSTEMS(Recent Trends in Infinite Dimensional Non-Commutative Analysis)----128

　　　　Research Institute for Mathmatical Sciences, Kyoto University　　　Moriya,Hajime

　

11. Interface states of quantum lattice models(Recent Trends in Infinite Dimensional Non-Commutative Analysis)---------------------133

　　　　Department of Physics, Gakushuin University / Department of Mathematics, University of California　　　Koma,Tohru / Nachtergaele,Bruno

　

12. 光学的 Fredkin-Toffoli-Milburnゲートについて(無限次元非可換解析学の動向)-------------------------------------------------------145

　　　　東京理科大学理工学部 / 東京理科大学理工学部　　　大矢 雅則 / 渡邉 昇

　

13. A Note on Transformations on White Noise Functions -Hida's Whiskers Revisited-(Recent Trends in Infinite Dimensional Non-Commutative Analysis)---155

　　　　GRADUATE SCHOOL OF POLYMATHEMATICS, NAGOYA UNIVERSITY　　　OBATA, NOBUAKI