No.1278

2001/11/20〜2001/11/22

尾畑　伸明

Nobuaki Obata

目　次

1. Non-relativistic Limit of a Dirac particle Interacting with the Quantum Radiation Field (Trends in Infinite Dimensional Analysis and Quantum Probability)---1

　　　　北海道大学理学研究科数学教室　　　新井 朝雄　(Arai,Asao)

　

2. A System of Stochastic Differential Equations within NETFD : Can Quantumness be an Origin of Dissipation? (Trends in Infinite Dimensional Analysis and Quantum Probability)---12

　　　　筑波大学物理学系　　　有光 敏彦　(Arimitsu,Toshihco)

　

3. On Quantum White Noises and Related Transformations (Trends in Infinite Dimensional Analysis and Quantum Probability)------------34

　　　　高等国際研究所　　　浅井 暢宏　(Asai,Nobuhiro)

　

4. Centralization of positive definite functions, Thoma characters, weak containment topology for the infinite symmetric group (Trends in Infinite Dimensional Analysis and Quantum Probability)---48

　　　　京都大学名誉教授　　　平井 武　(Hirai,Takeshi)

　

5. Infinitesimal generators of one-parameter unitary groups on a Boson Fock space (Trends in Infinite Dimensional Analysis and Quantum Probability)---75

　　　　摂南大学工学部　　　広島 文生　(Hiroshima,Fumio)

　

6. 変分原理とシュレーディンガー方程式 (無限次元解析と量子確率論の動向)--------------------------------------------------------------86

　　　　徳島大学総合科学部　　　伊東 由文/萱間 顕誠　(Ito,Yoshifumi/Kayama,Kenjoh)

　

7. A Characterization of Weighted Fock Space Operators (Trends in Infinite Dimensional Analysis and Quantum Probability)------------96

　　　　Department of Mathematics, Chungbuk National University　　　Ji,Un Cig

　

8. The Bosonic Central Limit Theorem (Trends in Infinite Dimensional Analysis and Quantum Probability)-----------------------------114

　　　　九州大学数理学研究院　　　松井 卓　(Matsui,Taku)

　

9. Classification of Universal Notions of Stochastic Independence (Trends in Infinite Dimensional Analysis and Quantum Probability)---123

　　　　岩手県立大学総合政策学部　　　村木 尚文　(Muraki,Naofumi)

　

10. Quantum White Noise Calculus Based on Nuclear Algebras of Entire Functions (Trends in Infinite Dimensional Analysis and Quantum Probability)---130

　　　　東北大学情報科学研究科　　　尾畑 伸明　(Obata,Nobuaki)

　

11. Algebras of Infinite Dimensional Holomorphic Functions and Application to Probability (Trends in Infinite Dimensional Analysis and Quantum Probability)---158

　　　　University of Tunis El Manar　　　Ouerdiane,Habib

　

12. Infinite Dimensional Cauchy Process Associated with the Levy Laplacian (Trends in Infinite Dimensional Analysis and Quantum Probability)---172

　　　　名城大学理工学部　　　斉藤 公明　(Saito,Kimiaki)

　

13. Thermo Quantum Dynamics in the Thermodynamic Limit $(\rm{N} \rightarrow \infty)$ (Trends in Infinite Dimensional Analysis and Quantum Probability)---183

　　　　東京理科大学理学部　　　鈴木 増雄　(Suzuki,Masuo)

　

14. Unitary Representations for Twisted Product of Matrix Quantum Groups (Trends in Infinite Dimensional Analysis and Quantum Probability)---188

　　　　Institute of Mathematics, Wroclaw University　　　Wysoczanski,Janusz

　

15. A canonical random variable for the $q$-deformed moments-cumulants formula (Trends in Infinite Dimensional Analysis and Quantum Probability)---194

　　　　お茶の水女子大学理学部　　　吉田 裕亮　(Yoshida,Hiroaki)

　

16. MEMORANDUM (Trends in Infinite Dimensional Analysis and Quantum Probability)---------------------------------------------------210