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Titlebook: Operator Algebras and Quantum Statistical Mechanics II; Equilibrium States M Ola Bratteli,Derek W. Robinson Book 19811st edition Springer S

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發(fā)表于 2025-3-21 18:02:36 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Operator Algebras and Quantum Statistical Mechanics II
副標(biāo)題Equilibrium States M
編輯Ola Bratteli,Derek W. Robinson
視頻videohttp://file.papertrans.cn/703/702303/702303.mp4
叢書名稱Theoretical and Mathematical Physics
圖書封面Titlebook: Operator Algebras and Quantum Statistical Mechanics II; Equilibrium States M Ola Bratteli,Derek W. Robinson Book 19811st edition Springer S
描述In this chapter, and the following one, we examine various applications of C*-algebras and their states to statistical mechanics. Principally we analyze the structural properties of the equilibrium states of quantum systems con- sisting of a large number of particles. In Chapter 1 we argued that this leads to the study of states of infinite-particle systems as an initial approximation. There are two approaches to this study which are to a large extent comple- mentary. The first approach begins with the specific description of finite systems and their equilibrium states provided by quantum statistical mechanics. One then rephrases this description in an algebraic language which identifies the equilibrium states as states over a quasi-local C*-algebra generated by sub- algebras corresponding to the observables of spatial subsystems. Finally, one attempts to calculate an approximation of these states by taking their limit as the volume of the system tends to infinity, the so-called thermodynamic limit. The infinite-volume equilibrium states obtained in this manner provide the data for the calculation of bulk properties of the matter under considera- tion as functions of the thermodyna
出版日期Book 19811st edition
關(guān)鍵詞Algebras; Bose-Einstein condensation; Operator; Operatoralgebra; Physik; Potential; Quantenmechanik; Quante
版次1
doihttps://doi.org/10.1007/978-3-662-09089-3
isbn_ebook978-3-662-09089-3Series ISSN 1864-5879 Series E-ISSN 1864-5887
issn_series 1864-5879
copyrightSpringer Science+Business Media New York 1981
The information of publication is updating

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沙發(fā)
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板凳
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Models of Quantum Statistical Mechanics, however, the situation is more complex because the free evolution . is not a strongly continuous group of *-automorphisms of the CCR algebra A and hence (A, .) does not form a .*-system. Thus, it is not evident that one can use a global .*-structure to characterize the set of equilibrium states.
地板
發(fā)表于 2025-3-22 08:05:35 | 只看該作者
Book 19811st editionese states by taking their limit as the volume of the system tends to infinity, the so-called thermodynamic limit. The infinite-volume equilibrium states obtained in this manner provide the data for the calculation of bulk properties of the matter under considera- tion as functions of the thermodyna
5#
發(fā)表于 2025-3-22 09:58:43 | 只看該作者
States in Quantum Statistical Mechanics,ze the structural properties of the equilibrium states of quantum systems consisting of a large number of particles. In Chapter 1 we argued that this leads to the study of states of infinite-particle systems as an initial approximation. There are two approaches to this study which are to a large ext
6#
發(fā)表于 2025-3-22 13:46:07 | 只看該作者
Models of Quantum Statistical Mechanics,ly concerned equilibrium properties of macroscopic systems and fell into one of two categories. First, we analyzed thermodynamic limit phenomena of specific particle models by use of the Gibbs ansatz for the equilibrium states. Second, we examined the structure of a set of states, the KMS states, wh
7#
發(fā)表于 2025-3-22 18:20:41 | 只看該作者
1864-5879 y we analyze the structural properties of the equilibrium states of quantum systems con- sisting of a large number of particles. In Chapter 1 we argued that this leads to the study of states of infinite-particle systems as an initial approximation. There are two approaches to this study which are to
8#
發(fā)表于 2025-3-22 23:42:11 | 只看該作者
Book 19811st editionze the structural properties of the equilibrium states of quantum systems con- sisting of a large number of particles. In Chapter 1 we argued that this leads to the study of states of infinite-particle systems as an initial approximation. There are two approaches to this study which are to a large e
9#
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