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A Canonical Ensemble Approach to the Fermion/Boson Random Point Processes and Its Applications
http://hdl.handle.net/2297/3992
http://hdl.handle.net/2297/3992b703c0bc-0bb3-499e-b45d-702504e57965
| 名前 / ファイル | ライセンス | アクション |
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
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| 公開日 | 2017-10-03 | |||||
| タイトル | ||||||
| タイトル | A Canonical Ensemble Approach to the Fermion/Boson Random Point Processes and Its Applications | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| 著者 |
Tamura, Hiroshi
× Tamura, Hiroshi× Ito, Keiichi R. |
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| 提供者所属 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | 金沢大学大学院自然科学研究科機能開発システム | |||||
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| 内容記述タイプ | Other | |||||
| 内容記述 | 金沢大学工学部 | |||||
| 書誌情報 |
Communications in Mathematical Physics263 巻 263, 号 2, p. 353-380, 発行日 2006-04-01 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 0010-3616 | |||||
| DOI | ||||||
| 関連タイプ | isVersionOf | |||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | https://doi.org/10.1007/s00220-005-1507-2 | |||||
| 出版者 | ||||||
| 出版者 | Springer Berlin | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We introduce the boson and the fermion point processes from the elementary quantum mechanical point of view. That is, we consider quantum statistical mechanics of the canonical ensemble for a fixed number of particles which obey Bose-Einstein, Fermi-Dirac statistics, respectively, in a finite volume. Focusing on the distribution of positions of the particles, we have point processes of the fixed number of points in a bounded domain. By taking the thermodynamic limit such that the particle density converges to a finite value, the boson/fermion processes are obtained. This argument is a realization of the equivalence of ensembles, since resulting processes are considered to describe a grand canonical ensemble of points. Random point processes corresponding to para-particles of order two are discussed as an application of the formulation. Statistics of a system of composite particles at zero temperature are also considered as a model of determinantal random point processes. | |||||
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| 出版タイプ | AM | |||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||