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Titlebook: Linear Response Theory; An Analytic-Algebrai Giuseppe De Nittis,Max Lein Book 2017 The Author(s) 2017 Sobolev spaces.von Neumann algebras.M

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發(fā)表于 2025-3-21 17:37:08 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Linear Response Theory
副標(biāo)題An Analytic-Algebrai
編輯Giuseppe De Nittis,Max Lein
視頻videohttp://file.papertrans.cn/587/586414/586414.mp4
概述Includes supplementary material:
叢書(shū)名稱(chēng)SpringerBriefs in Mathematical Physics
圖書(shū)封面Titlebook: Linear Response Theory; An Analytic-Algebrai Giuseppe De Nittis,Max Lein Book 2017 The Author(s) 2017 Sobolev spaces.von Neumann algebras.M
描述This book presents a modern and systematic approach to Linear Response Theory (LRT) by combining analytic and algebraic ideas. LRT is a tool to study systems that are driven out of equilibrium by external perturbations. In particular the reader is provided with a new and robust tool to implement LRT for a wide array of systems. The proposed formalism in fact applies to periodic and random systems in the discrete and the continuum. After a short introduction describing the structure of the book, its aim and motivation, the basic elements of the theory are presented in chapter 2. The mathematical framework of the theory is outlined in chapters 3–5: the relevant von Neumann algebras, noncommutative?$L^p$-?and Sobolev spaces are introduced; their construction is then made explicit for common physical systems; the notion of isopectral perturbations and the associated dynamics are studied. Chapter 6 is dedicated to the main results, proofs of the Kubo and Kubo-Streda formulas. Thebook closes with a chapter about possible future developments and applications of the theory to periodic light conductors. .The book addresses a wide audience of mathematical physicists, focusing on the conceptu
出版日期Book 2017
關(guān)鍵詞Sobolev spaces; von Neumann algebras; Maxwell operators; Schroedinger-Landau operator; Green-Kubo formul
版次1
doihttps://doi.org/10.1007/978-3-319-56732-7
isbn_softcover978-3-319-56731-0
isbn_ebook978-3-319-56732-7Series ISSN 2197-1757 Series E-ISSN 2197-1765
issn_series 2197-1757
copyrightThe Author(s) 2017
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2197-1757 chapter about possible future developments and applications of the theory to periodic light conductors. .The book addresses a wide audience of mathematical physicists, focusing on the conceptu978-3-319-56731-0978-3-319-56732-7Series ISSN 2197-1757 Series E-ISSN 2197-1765
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Giuseppe De Nittis,Max Leinion theorem; the existence and uniqueness theorems for canonical extensions and completions; Tarski’s isomorphism of factors theorem for countably complete Boolean algebras, and Hanf’s related counterexamples; 978-1-4419-2324-0978-0-387-68436-9Series ISSN 0172-6056 Series E-ISSN 2197-5604
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Giuseppe De Nittis,Max Leinble atomless Boolean algebras; the maximal ideal theorem; the celebrated Stone representation theorem; the existence and uniqueness theorems for canonical extensions and completions; Tarski’s isomorphism of factors theorem for countably complete Boolean algebras, and Hanf’s related counterexamples;
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Giuseppe De Nittis,Max Lein or parts thereof is only permitted under the provision of the German Copyright Law of September 9,1965, in its version of June 24,1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law. ? Springer-Verlag Berlin Heidelberg 1989 Softcover
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