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Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science
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Elements of Classical and Quantum Integrable Systems (Hardcover, 1st ed. 2019)
Loot Price: R2,346
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Elements of Classical and Quantum Integrable Systems (Hardcover, 1st ed. 2019)
Series: UNITEXT for Physics
Expected to ship within 12 - 17 working days
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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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