The theory of unbounded derivations in C^*-algebras and its applications to Statistical mechanics.
| Project/Area Number |
61540132
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
解析学
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| Research Institution | Nihon University |
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Principal Investigator |
SAKAI Shoichiro College of Humanities and Sciences, Nihon university, 文理学部, 教授 (30130503)
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| Co-Investigator(Kenkyū-buntansha) |
SUZUKI Masahiko College of Humanities and Sciences, Nihon university, 文理学部, 講師 (00171249)
SUZUKI Osamu College of Humanities and Sciences, Nihon university, 文理学部, 助教授 (10096844)
GOTO Shiro College of Humanities and Sciences, Nihon university, 文理学部, 教授 (50060091)
MISONOU Yoshinao College of Humanities and Sciences, Nihon university, 文理学部, 教授 (20005705)
NIIRO Fumio College of Humanities and Sciences, Nihon university, 文理学部, 教授 (50012191)
石原 繁 日本大学, 文理学部, 教授 (80016013)
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| Project Period (FY) |
1986 – 1988
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| Project Status |
Completed (Fiscal Year 1988)
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| Budget Amount *help |
¥2,700,000 (Direct Cost: ¥2,700,000)
Fiscal Year 1988: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1987: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1986: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | Continuous quantum systems / C^*-quantum physics / Derivation / 平衝状態 / C^*ー力学系 / 非有界微分 / 【C^*】-代数 / 統計力学 / 相転移 / 【C^*】-力学系 |
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| Research Abstract |
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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Report
(3 results)
Research Products
(11 results)
