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Linear Response Theory: An Analytic-Algebraic Approach (Springerbriefs in Mathematical Physics) (in English)
Giuseppe De Nittis; Max Lein (Author)
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Springer
· Paperback
Linear Response Theory: An Analytic-Algebraic Approach (Springerbriefs in Mathematical Physics) (in English) - Giuseppe De Nittis; Max Lein
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Synopsis "Linear Response Theory: An Analytic-Algebraic Approach (Springerbriefs in Mathematical Physics) (in English)"
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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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.
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