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Integrability, Quantization, and Geometry: I. Integrable Systems

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Release : 2021-04-12
Genre : Education
Kind : eBook
Book Rating : 919/5 ( reviews)

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Book Synopsis Integrability, Quantization, and Geometry: I. Integrable Systems by : Sergey Novikov

Download or read book Integrability, Quantization, and Geometry: I. Integrable Systems written by Sergey Novikov. This book was released on 2021-04-12. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher. The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.

Integrability, Quantization, and Geometry

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Release : 2021
Genre : Electronic books
Kind : eBook
Book Rating : 349/5 ( reviews)

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Book Synopsis Integrability, Quantization, and Geometry by : Sergeĭ Petrovich Novikov

Download or read book Integrability, Quantization, and Geometry written by Sergeĭ Petrovich Novikov. This book was released on 2021. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of articles written in memory of Boris Dubrovin (1950-2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher.The contributions to this collection of papers are split into two parts: ""Integrable Systems"" and ""Quantum Theories and Algebraic Geometry"", reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, i.

Elements of Classical and Quantum Integrable Systems

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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.

Geometric and Quantum Aspects of Integrable Systems

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Release : 2014-01-15
Genre :
Kind : eBook
Book Rating : 295/5 ( reviews)

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Book Synopsis Geometric and Quantum Aspects of Integrable Systems by : G. F. Helminck

Download or read book Geometric and Quantum Aspects of Integrable Systems written by G. F. Helminck. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric and Quantum Aspects of Integrable Systems

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Author :
Release : 1993
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Geometric and Quantum Aspects of Integrable Systems by : G. F. Helminck

Download or read book Geometric and Quantum Aspects of Integrable Systems written by G. F. Helminck. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt:

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