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Titlebook: Operator Algebras and Quantum Statistical Mechanics 1; C*- and W*-Algebras. Ola Bratteli,Derek W. Robinson Book 1987Latest edition Springer

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发表于 2025-3-21 17:26:20 | 显示全部楼层 |阅读模式
书目名称Operator Algebras and Quantum Statistical Mechanics 1
副标题C*- and W*-Algebras.
编辑Ola Bratteli,Derek W. Robinson
视频video
丛书名称Theoretical and Mathematical Physics
图书封面Titlebook: Operator Algebras and Quantum Statistical Mechanics 1; C*- and W*-Algebras. Ola Bratteli,Derek W. Robinson Book 1987Latest edition Springer
描述In this book we describe the elementary theory of operator algebras and parts of the advanced theory which are of relevance, or potentially of relevance, to mathematical physics. Subsequently we describe various applications to quantum statistical mechanics. At the outset of this project we intended to cover this material in one volume but in the course of develop­ ment it was realized that this would entail the omission ofvarious interesting topics or details. Consequently the book was split into two volumes, the first devoted to the general theory of operator algebras and the second to the applications. This splitting into theory and applications is conventional but somewhat arbitrary. In the last 15-20 years mathematical physicists have realized the importance of operator algebras and their states and automorphisms for problems of field theory and statistical mechanics. But the theory of 20 years aga was largely developed for the analysis of group representations and it was inadequate for many physical applications. Thus after a short honey­ moon period in which the new found tools of the extant theory were applied to the most amenable problems a longer and more interesting peri
出版日期Book 1987Latest edition
关键词Algebra; Algebras; Operator; Operatoralgebra; Physics; Physik; Quantenmechanik; Quantenstatistik; Statistisc
版次2
doihttps://doi.org/10.1007/978-3-662-02520-8
isbn_softcover978-3-642-05736-6
isbn_ebook978-3-662-02520-8Series ISSN 1864-5879 Series E-ISSN 1864-5887
issn_series 1864-5879
copyrightSpringer-Verlag Berlin Heidelberg 1987
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发表于 2025-3-21 20:42:52 | 显示全部楼层
1864-5879 of relevance, to mathematical physics. Subsequently we describe various applications to quantum statistical mechanics. At the outset of this project we intended to cover this material in one volume but in the course of develop­ ment it was realized that this would entail the omission ofvarious inter
发表于 2025-3-22 01:24:56 | 显示全部楼层
Decomposition Theory,decomposition, the decomposition of states and the decomposition of representations. In this chapter we principally describe the theory relating to states, but the intimate connection between states and representations allows us to develop and exploit properties of the representations.
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Ola Bratteli,Derek W. Robinsonne of the difficult parts is to increase the time of concentration of children with ASD in their learning. Using VR technology with 3D visualization and realistic rendering, the learning concentration as well as the teaching efficiency can be improved in special needs education. VR technology can al
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py is already introduced to help children with ASD. However, DST is fairly costly. Given a large number of children with ASD interested in DST, it is difficult to have sufficient dolphins available to provide the service. Despite popular among children with ASD, DST is often criticized by animal rig
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*-Algebras and von Neumann Algebras, case of the theory of Banach algebras. Consequently, the theory can be developed in two different ways. Either one can begin with an abstract description suited to the general analysis of Banach algebras or one may start with a specific representation of the algebra on a Hilbert space. We will foll
发表于 2025-3-23 04:06:40 | 显示全部楼层
Groups, Semigroups, and Generators,a dynamical rule describing the change of these states and observables with time. In the classical mechanics of point particles a state is represented by a point in a differentiable manifold and the observables by functions over the manifold. In the quantum mechanics of systems with a finite number
发表于 2025-3-23 05:55:45 | 显示全部楼层
Decomposition Theory, by simpler component and this is determined by the particular application. In an algebraic setting it is usual to examine two complementary forms of decomposition, the decomposition of states and the decomposition of representations. In this chapter we principally describe the theory relating to st
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