Linear Response Theory : An Analytic-Algebraic Approach

Language: English

Published by Springer, Berlin, Springer, 2017

3319567314 / 9783319567310

Series: Book 22 of 40 - SpringerBriefs in Mathematical Physics

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Druck auf Anfrage Neuware - Printed after ordering - 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 conceptual aspects rather than technical details and making algebraic methods accessible to analysts.

Seller Inventory # 9783319567310

Title
Linear Response Theory : An Analytic-Algebraic Approach
Author
Giuseppe De Nittis
Publisher
Springer, Berlin, Springer
Publication year
2017
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319567314
ISBN 13
9783319567310
Item weight
236 grams
Dimensions
236x110x10 mm
Series
Book 22 of 40: SpringerBriefs in Mathematical Physics

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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