The derivation theory of oporator algebras and its applications to statistical mechanics
| Project/Area Number |
05640225
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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 Nihon University, Mathimatics, Professor, 文理学部, 教授 (30130503)
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| Co-Investigator(Kenkyū-buntansha) |
SUZUKI Masahiko Nihon University, Mathimatics, Assistant professor, 文理学部, 助教授 (00171249)
NISHIOKA Kumiko Nihon University, Mathimatics, Assistant professor, 文理学部, 助教授 (80144632)
SUZUKI Osamu Nihon University, Mathimatics, Professor, 文理学部, 教授 (10096844)
夜久 竹夫 日本大学, 文理学部, 教授 (90102821)
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| Project Period (FY) |
1993 – 1994
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| Project Status |
Completed (Fiscal Year 1994)
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| Budget Amount *help |
¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1994: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1993: ¥500,000 (Direct Cost: ¥500,000)
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| Keywords | C^<**>-algebras / Derivation / Phase transition / KMS state / quantum statistical mechanics / 非有界微分 / C^*_-力学系 / KMS Stateo / Phase transtions / C^*-代数 / C^*-力学系 / 量子統計力学 / KMS状態 / 相転移 |
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| Research Abstract |
In this research, we have studied KMS states and phase transitions in quantum lattice systems, using the theory of unbounded derivations various results on KMS states obtained in the head investigator's book of "Operator algebras in dynamical systems" have been deepen by this research. The main results in this research have been published in the papers of "KMS states and phase transitions, I,II" by the head investigator.
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Report
(3 results)
Research Products
(10 results)
