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The Resource Linear Response Theory : An Analytic-Algebraic Approach, by Giuseppe De Nittis, Max Lein, (electronic resource)

Linear Response Theory : An Analytic-Algebraic Approach, by Giuseppe De Nittis, Max Lein, (electronic resource)

Label
Linear Response Theory : An Analytic-Algebraic Approach
Title
Linear Response Theory
Title remainder
An Analytic-Algebraic Approach
Statement of responsibility
by Giuseppe De Nittis, Max Lein
Creator
Contributor
Author
Subject
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 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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0
Literary form
non fiction
Series statement
SpringerBriefs in Mathematical Physics,
Series volume
21
Linear Response Theory : An Analytic-Algebraic Approach, by Giuseppe De Nittis, Max Lein, (electronic resource)
Label
Linear Response Theory : An Analytic-Algebraic Approach, by Giuseppe De Nittis, Max Lein, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://dx.doi.org/10.1007/978-3-319-56732-7
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Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
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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unknown
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
c
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote

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