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ELEMENTS OF CLASSICAL AND QUANTUM INTEGRABLE SYSTEMS IBD

GLEB ARUTYUNOV
SPRINGER
08 / 2020
9783030242008
Inglés

Sinopsis

Integrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion.áNowadays it is well recognised that integrable systems play a ubiquitous role in many research areas ranging from quantum field theory,ástring theory, solvable models of statistical mechanics, black hole physics, quantum chaos and the AdS/CFT correspondence, to pure mathematics, such as representation theory,áharmonic analysis, random matrix theory and complex geometry.áStarting 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,á classical and quantum factorised scattering and various incarnations of the Bethe Ansatz.áApplications of integrability methods are illustrated in vast detail on the concrete examplesáof the Calogero-Moser-Sutherland and Ruijsenaars-Schneider models, the Heisenberg spin chain and the one-dimensionaláBose gas interacting via a delta-function potential.áThis book has intermediate and advanced topics withádetails to make them clearly comprehensible.