Linear Response Theory

An Analytic-Algebraic Approach

Autor: Giuseppe De Nittis, Max Lein

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Editura: Springer International Publishing AG

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348.96 lei

This book presents a modern and systematic approach to Linear Response Theory (LRT) by combining ana...

Informații despre carte

Autor

Giuseppe De Nittis, Max Lein

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2017

Pagini

138

EAN

9783319567310

ISBN

3319567314

Enbook ID

16013542

Editura

Springer International Publishing AG

Greutate

238

Dimensiuni

155 x 235 x 10

Descriere completă

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. 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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Linear Response Theory

An Analytic-Algebraic Approach

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