The Resource Linear Response Theory : An AnalyticAlgebraic Approach, by Giuseppe De Nittis, Max Lein, (electronic resource)
Linear Response Theory : An AnalyticAlgebraic Approach, by Giuseppe De Nittis, Max Lein, (electronic resource)
 Summary
 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{u2013}5: the relevant von Neumann algebras, noncommutative $Lp̂$ 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 KuboStreda 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
 Language
 eng
 Extent
 X, 138 p.
 Contents

 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
 Isbn
 9783319567327
 Label
 Linear Response Theory : An AnalyticAlgebraic Approach
 Title
 Linear Response Theory
 Title remainder
 An AnalyticAlgebraic Approach
 Statement of responsibility
 by Giuseppe De Nittis, Max Lein
 Language
 eng
 Summary
 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{u2013}5: the relevant von Neumann algebras, noncommutative $Lp̂$ 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 KuboStreda 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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 0
 Literary form
 non fiction
 Series statement
 SpringerBriefs in Mathematical Physics,
 Series volume
 21
 Label
 Linear Response Theory : An AnalyticAlgebraic Approach, by Giuseppe De Nittis, Max Lein, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
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 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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
 http://library.link/vocab/cover_art
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 http://library.link/vocab/discovery_link
 {'f': 'http://opac.lib.rpi.edu/record=b4257903'}
 Extent
 X, 138 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319567327
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
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 Other physical details
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/LinearResponseTheoryAnAnalyticAlgebraic/yPcdn_yRdE/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/LinearResponseTheoryAnAnalyticAlgebraic/yPcdn_yRdE/">Linear Response Theory : An AnalyticAlgebraic Approach, by Giuseppe De Nittis, Max Lein, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>