书目名称 | Operator Algebras and Quantum Statistical Mechanics II |
副标题 | Equilibrium States M |
编辑 | Ola Bratteli,Derek W. Robinson |
视频video | |
丛书名称 | Theoretical and Mathematical Physics |
图书封面 |  |
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 |
关键词 | Algebras; Bose-Einstein condensation; Operator; Operatoralgebra; Physik; Potential; Quantenmechanik; Quante |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-662-09089-3 |
isbn_ebook | 978-3-662-09089-3Series ISSN 1864-5879 Series E-ISSN 1864-5887 |
issn_series | 1864-5879 |
copyright | Springer Science+Business Media New York 1981 |