國立虎尾科技大學 |

Elements of classical and quantum integrable systems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Elements of classical and quantum integrable systems/ by 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

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

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

527971
Integral equations.

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

Dewey Class. No.: 515.45

Elements of classical and quantum integrable systems
LDR:02384nam a2200337 a 4500 001 942121
003 DE-He213
005 20191213112840.0
006 m d
007 cr nn 008maaau
008 200417s2019 gw s 0 eng d
020 $a 9783030241988 $q (electronic bk.)
020 $a 9783030241971 $q (paper)
024 7 $a 10.1007/978-3-030-24198-8 $2 doi
035 $a 978-3-030-24198-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QC20.7.I58 $b A788 2019
072 7 $a PHS $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHS $2 thema
082 0 4 $a 515.45 $2 23
090 $a QC20.7.I58 $b A794 2019
100 1 $a Arutyunov, Gleb. $3 1229763
245 1 0 $a Elements of classical and quantum integrable systems $h [electronic resource] / $c by Gleb Arutyunov.
260 $a Cham : $c 2019. $b Springer International Publishing : $b Imprint: Springer,
300 $a xiii, 414 p. : $b ill., digital ; $c 24 cm.
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.
650 0 $a Integral equations. $3 527971
650 1 4 $a Statistical Physics and Dynamical Systems. $3 1114011
650 2 4 $a Mathematical Physics. $3 786661
650 2 4 $a Classical Mechanics. $3 1140387
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 671353
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a UNITEXT for physics. $3 1062560
856 4 0 $u https://doi.org/10.1007/978-3-030-24198-8
950 $a Physics and Astronomy (Springer-11651)