Elements of Classical and Quantum Integrable Systems / Gleb Arutyunov

By:

Arutyunov, Gleb [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: UNITEXT for Physics | Springer eBooks Physics and Astronomy | Springer eBook CollectionPublisher: Cham : Springer, [2019]Copyright date: © 2019Description: 1 Online-Ressource (XIII, 414 Seiten) : Illustrationen, DiagrammeISBN:

9783030241988

Subject(s):

Additional physical formats: 9783030241971 | Erscheint auch als: 978-3-030-24197-1 Druck-Ausgabe | Erscheint auch als: Elements of classical and quantum integrable systems. Druck-Ausgabe Cham, Switzerland : Springer Nature, 2019. xiii, 414 SeitenMSC: MSC: *82-02 | 81Q80 | 70H06RVK: RVK: SK 950LOC classification:

QC174.7-175.36

DOI: DOI: 10.1007/978-3-030-24198-8Online resources:

Summary: Liouville Integrability -- Integrability from symmetries -- Quantum-mechanical integrable systems -- Factorised Scattering Theory -- Bethe Ansatz -- Integrable Thermodynamics -- AppendicesSummary: 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 comprehensiblePPN: PPN: 167100891XPackage identifier: Produktsigel: ZDB-2-PHA | ZDB-2-SEB | ZDB-2-SXP

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