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Elements of Classical and Quantum Integrable Systems

2019-07-23 Science
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Release : 2019-07-23
Genre : Science
Kind : eBook
Book Rating : 98X/5 ( reviews)

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Book Synopsis Elements of Classical and Quantum Integrable Systems by : Gleb Arutyunov

Download or read book Elements of Classical and Quantum Integrable Systems written by Gleb Arutyunov. This book was released on 2019-07-23. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Classical and Quantum Nonlinear Integrable Systems

2019-04-23 Science
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Release : 2019-04-23
Genre : Science
Kind : eBook
Book Rating : 615/5 ( reviews)

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Book Synopsis Classical and Quantum Nonlinear Integrable Systems by : A Kundu

Download or read book Classical and Quantum Nonlinear Integrable Systems written by A Kundu. This book was released on 2019-04-23. Available in PDF, EPUB and Kindle. Book excerpt: Covering both classical and quantum models, nonlinear integrable systems are of considerable theoretical and practical interest, with applications over a wide range of topics, including water waves, pin models, nonlinear optics, correlated electron systems, plasma physics, and reaction-diffusion processes. Comprising one part on classical theories

Quantum Integrable Systems

2004-01-28 Science
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Release : 2004-01-28
Genre : Science
Kind : eBook
Book Rating : 011/5 ( reviews)

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Book Synopsis Quantum Integrable Systems by : Asesh Roy Chowdhury

Download or read book Quantum Integrable Systems written by Asesh Roy Chowdhury. This book was released on 2004-01-28. Available in PDF, EPUB and Kindle. Book excerpt: The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despite the field now having reached a level of maturity, very few books provide an introduction to the field accessible to specialists and nonspecialists alike, and none offer a systematic survey of the m

Integrable Systems And Quantum Groups

1992-04-30
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Release : 1992-04-30
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Kind : eBook
Book Rating : 766/5 ( reviews)

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Book Synopsis Integrable Systems And Quantum Groups by : Mauro Carfora

Download or read book Integrable Systems And Quantum Groups written by Mauro Carfora. This book was released on 1992-04-30. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lectures on recent advances in the theory of integrable systems and quantum groups. It introduces the reader to attractive areas of current research.

Integrable Systems, Quantum Groups, and Quantum Field Theories

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 805/5 ( reviews)

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Book Synopsis Integrable Systems, Quantum Groups, and Quantum Field Theories by : Alberto Ibort

Download or read book Integrable Systems, Quantum Groups, and Quantum Field Theories written by Alberto Ibort. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: In many ways the last decade has witnessed a surge of interest in the interplay between theoretical physics and some traditional areas of pure mathematics. This book contains the lectures delivered at the NATO-ASI Summer School on `Recent Problems in Mathematical Physics' held at Salamanca, Spain (1992), offering a pedagogical and updated approach to some of the problems that have been at the heart of these events. Among them, we should mention the new mathematical structures related to integrability and quantum field theories, such as quantum groups, conformal field theories, integrable statistical models, and topological quantum field theories, that are discussed at length by some of the leading experts on the areas in several of the lectures contained in the book. Apart from these, traditional and new problems in quantum gravity are reviewed. Other contributions to the School included in the book range from symmetries in partial differential equations to geometrical phases in quantum physics. The book is addressed to researchers in the fields covered, PhD students and any scientist interested in obtaining an updated view of the subjects.

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