Geometric and Quantum Aspects of Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric and Quantum Aspects of Integrable Systems write by G. F. Helminck. This book was released on 2014-01-15. Geometric and Quantum Aspects of Integrable Systems available in PDF, EPUB and Kindle.
Geometric and Quantum Aspects of Integrable Systems
Geometric and Quantum Aspects of Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric and Quantum Aspects of Integrable Systems write by G. F. Helminck. This book was released on 1993. Geometric and Quantum Aspects of Integrable Systems available in PDF, EPUB and Kindle.
Geometric and Quantum Aspects of Integrable Systems
Geometric and Quantum Aspects of Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric and Quantum Aspects of Integrable Systems write by G.F. Helminck. This book was released on 1993-11-30. Geometric and Quantum Aspects of Integrable Systems available in PDF, EPUB and Kindle. This is a collection of outstanding review papers on integrable systems. It gives the algebraic geometric aspects of the subject, describes integrability techniques e.g. for the modified KdV equation, integrability of Hamiltonian systems, hierarchies of equations, probability distribution of eigenvalues, and modern aspects of quantum groups. It addresses researchers in mathematics and mathematical physics.
Elements of Classical and Quantum Integrable Systems
Elements of Classical and Quantum Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elements of Classical and Quantum Integrable Systems write by Gleb Arutyunov. This book was released on 2019-07-23. Elements of Classical and Quantum Integrable Systems available in PDF, EPUB and Kindle. 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.
Integrability, Quantization, and Geometry: I. Integrable Systems
Integrability, Quantization, and Geometry: I. Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integrability, Quantization, and Geometry: I. Integrable Systems write by Sergey Novikov. This book was released on 2021-04-12. Integrability, Quantization, and Geometry: I. Integrable Systems available in PDF, EPUB and Kindle. 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.
