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Linear response theoryan analytic-al...

De Nittis, Giuseppe.

Linear response theoryan analytic-algebraic approach /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Linear response theoryby Giuseppe De Nittis, Max Lein.
其他題名:	an analytic-algebraic approach /
作者:	De Nittis, Giuseppe.
其他作者:	Lein, Max.
出版者:	Cham :Springer International Publishing :2017.
面頁冊數:	x, 138 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Algebras, Linear.
電子資源:	http://dx.doi.org/10.1007/978-3-319-56732-7
ISBN:	9783319567327$q(electronic bk.)

Linear response theoryan analytic-algebraic approach /
De Nittis, Giuseppe.

Linear response theoryan analytic-algebraic approach /[electronic resource] :by Giuseppe De Nittis, Max Lein. - Cham :Springer International Publishing :2017. - x, 138 p. :ill., digital ;24 cm. - SpringerBriefs in mathematical physics,v.212197-1757 ;. - SpringerBriefs in mathematical physics ;v.1..

Introduction -- Setting, Hypotheses and Main Results -- Mathematical Framework -- A Unified Framework for Common Physical Systems -- Studying the Dynamics -- The Kubo Formula and its Adiabatic Limit -- Applications.

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

ISBN: 9783319567327$q(electronic bk.)

Standard No.: 10.1007/978-3-319-56732-7doiSubjects--Topical Terms:

183087
Algebras, Linear.

LC Class. No.: QA184.2

Dewey Class. No.: 512.5

Linear response theoryan analytic-algebraic approach /
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520 $a 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 $- 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. The book 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.
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