The theory of unbounded derivations in C^*-algebras and its applications to Statistical mechanics.
The theory of unbounded derivations in C^*-algebras and its applications to Statistical mechanics.
批准号:
61540132
负责人:
SAKAI Shoichiro
金额:
$1.73万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for General Scientific Research (C)
财政年份:
1986
资助国家:
日本
项目状态:
已结题
起止时间:
1986 至 1988
中文摘要
在C^*-代数或更一般的^*-代数的框架下,研究了连续量子系统的公理化,得到了系统存在时间演化和K M S态的各种充分条件。
英文摘要
The study of the axiomatization of continuous quantum systems within the framework of C^*-algebras or more general ^*-algebras has been done, we have obtained various sufficient condions in order that there exist time evolutions and K M S states in the systems.
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境正一郎: Contemporary Mathematics,A.M.S.62. 187-217 (1987)
酒井庄一郎:当代数学,A.M.S.62(1987)。
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Shoichiro Sakai: "On Stone - Weierstrass theorem for C^*- algebras" Lecture notes, R I M S. 651. 132-143 (1988)
Shoichiro Sakai:“On Stone - C^*- 代数的 Weierstrass 定理”讲义,R I M S. 651. 132-143 (1988)
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境正一郎: 数理解析研究所構究録. 651. 132-143 (1988)
Shoichiro Sakai:数学分析研究所杂志 651. 132-143 (1988)。
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Shoichiro Sakai: "Perturbations and K M S states in C^*-dynamical systems (Generalization of the absence theorem of phase transition to continuous quantum systems)" Contemporary Mathematics, A.M.S.62. 187-217 (1987)
Shoichiro Sakai:“C^* 动力系统中的扰动和 K M S 状态(相变不存在定理推广到连续量子系统)”当代数学,A.M.S.62。
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境正一郎: "Operator algebras in dynamical systems" Cambridge University Press, 180 (1989)
Shoichiro Sakai:“动力系统中的算子代数”剑桥大学出版社,180(1989)
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共 11 条
The derivation theory of oporator algebras and its applications to statistical mechanics
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批准号:05640225
-
项目类别:Grant-in-Aid for General Scientific Research (C)
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资助金额:$0.64万
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财政年份:1993
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负责人:SAKAI Shoichiro
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依托单位:
The theory of unbounded derivations in C^* -algebras and its applications to statistical mechanics
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批准号:01540157
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项目类别:Grant-in-Aid for General Scientific Research (C)
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资助金额:$0.96万
-
财政年份:1989
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负责人:SAKAI Shoichiro
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依托单位: