Linear Response Theory: An Analytic-Algebraic Approach by De Nittis, Giuseppe

Linear Response Theory: An Analytic-Algebraic Approach (Paperback) (ISBN-13: 9783319567310)

Vendor: Giuseppe De Nittis
Product type: Books
Format: Paperback
$64.99
$64.99
$64.99
Subtotal: $64.99
Linear Response Theory: An Analytic-Algebraic Approach by De Nittis, Giuseppe

Linear Response Theory: An Analytic-Algebraic Approach

$64.99
Linear Response Theory: An Analytic-Algebraic Approach by De Nittis, Giuseppe

Linear Response Theory: An Analytic-Algebraic Approach

$64.99
Format: Paperback
Description
Description
x
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.


Author: Giuseppe De Nittis, Max Lein
ISBN-10: 3319567314
ISBN-13: 9783319567310
Publisher: Springer
Language: English
Published: 06/27/2017
Pages: 138
Format: Paperback
Weight: 0.48lbs
Size: 9.21h x 6.14w x 0.32d
By Giuseppe De Nittis
By Giuseppe De Nittis
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Giuseppe De Nittis is Assistant Professor of the Facultad de Matem疸icas at the Pontificia Universidad Catica de Chile in Santiago. He got his PhD in 2010 at SISSA (Trieste, Italy) working on the geometric interpretation of the Quantum Hall Effect and its relation with the Kubo formula. In the last years he worked constantly at the boundary between topology, algebra and analysis to face problems coming from the condensed matter area, with a special focus on the theory of topological insulators. More information can be found on his web page (gdenittis.wordpress.com).
Max Lein is Assistant Professor at the Advanced Institute of Materials Research, which is associated to Tohoku University in Sendai Japan. He completed his PhD in 2011 at the Technische Universit舩 M?chen under the supervision of Prof. H. Spohn. He has worked for over 10 years on the rigorous analysis of problems from condensed matter physics, in particular topological effects, using tools from analysis and algebra. More recently, he broadened his field of interest to periodic light conductors. In his analyses, he has applied and developed pseudodifferential and semiclassical methods, and combined algebraic and analytic techniques (e. g. to analyze essential spectra of magnetic pseudodifferential operators). More information can be found on his homepage (maxlein.com).

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