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Elements of classical and quantum in...

Arutyunov, Gleb.

Elements of classical and quantum integrable systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Elements of classical and quantum integrable systemsby Gleb Arutyunov.
Author:	Arutyunov, Gleb.
Published:	Cham :Springer International Publishing :2019.
Description:	xiii, 414 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Integral equations.
Online resource:	https://doi.org/10.1007/978-3-030-24198-8
ISBN:	9783030241988$q(electronic bk.)

Elements of classical and quantum integrable systems
Arutyunov, Gleb.

Elements of classical and quantum integrable systems[electronic resource] /by Gleb Arutyunov. - Cham :Springer International Publishing :2019. - xiii, 414 p. :ill., digital ;24 cm. - UNITEXT for physics,2198-7882. - UNITEXT for physics..

Liouville Integrability -- Integrability from symmetries -- Quantum-mechanical integrable systems -- Factorised Scattering Theory -- Bethe Ansatz -- Integrable Thermodynamics -- Appendices.

Integrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion. Nowadays it is well recognised that integrable systems play a ubiquitous role in many research areas ranging from quantum field theory, string theory, solvable models of statistical mechanics, black hole physics, quantum chaos and the AdS/CFT correspondence, to pure mathematics, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite-dimensional integrable models, this book covers the basic concepts of integrability including elements of the modern geometric approach based on Poisson reduction, classical and quantum factorised scattering and various incarnations of the Bethe Ansatz. Applications of integrability methods are illustrated in vast detail on the concrete examples of the Calogero-Moser-Sutherland and Ruijsenaars-Schneider models, the Heisenberg spin chain and the one-dimensional Bose gas interacting via a delta-function potential. This book has intermediate and advanced topics with details to make them clearly comprehensible.

ISBN: 9783030241988$q(electronic bk.)

Standard No.: 10.1007/978-3-030-24198-8doiSubjects--Topical Terms:

185303
Integral equations.

LC Class. No.: QC20.7.I58 / A788 2019

Dewey Class. No.: 515.45

Elements of classical and quantum integrable systems
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245 1 0 $a Elements of classical and quantum integrable systems $h [electronic resource] / $c by Gleb Arutyunov.
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490 1 $a UNITEXT for physics, $x 2198-7882
505 0 $a Liouville Integrability -- Integrability from symmetries -- Quantum-mechanical integrable systems -- Factorised Scattering Theory -- Bethe Ansatz -- Integrable Thermodynamics -- Appendices.
520 $a Integrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion. Nowadays it is well recognised that integrable systems play a ubiquitous role in many research areas ranging from quantum field theory, string theory, solvable models of statistical mechanics, black hole physics, quantum chaos and the AdS/CFT correspondence, to pure mathematics, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite-dimensional integrable models, this book covers the basic concepts of integrability including elements of the modern geometric approach based on Poisson reduction, classical and quantum factorised scattering and various incarnations of the Bethe Ansatz. Applications of integrability methods are illustrated in vast detail on the concrete examples of the Calogero-Moser-Sutherland and Ruijsenaars-Schneider models, the Heisenberg spin chain and the one-dimensional Bose gas interacting via a delta-function potential. This book has intermediate and advanced topics with details to make them clearly comprehensible.
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