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Elliptic Integrable Systems


Elliptic Integrable Systems
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Elliptic Integrable Systems


Elliptic Integrable Systems
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Author : 正俊·野海
language : en
Publisher:
Release Date : 2005

Elliptic Integrable Systems written by 正俊·野海 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.




Elliptic Integrable Systems


Elliptic Integrable Systems
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Author : Idrisse Khemar
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

Elliptic Integrable Systems written by Idrisse Khemar and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


In this paper, the author studies all the elliptic integrable systems, in the sense of C, that is to say, the family of all the $m$-th elliptic integrable systems associated to a $k^\prime$-symmetric space $N=G/G_0$. The author describes the geometry behind this family of integrable systems for which we know how to construct (at least locally) all the solutions. The introduction gives an overview of all the main results, as well as some related subjects and works, and some additional motivations.



Integrable Systems


Integrable Systems
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Author : Ahmed Lesfari
language : en
Publisher: John Wiley & Sons
Release Date : 2022-07-13

Integrable Systems written by Ahmed Lesfari and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-13 with Mathematics categories.


This book illustrates the powerful interplay between topological, algebraic and complex analytical methods, within the field of integrable systems, by addressing several theoretical and practical aspects. Contemporary integrability results, discovered in the last few decades, are used within different areas of mathematics and physics. Integrable Systems incorporates numerous concrete examples and exercises, and covers a wealth of essential material, using a concise yet instructive approach. This book is intended for a broad audience, ranging from mathematicians and physicists to students pursuing graduate, Masters or further degrees in mathematics and mathematical physics. It also serves as an excellent guide to more advanced and detailed reading in this fundamental area of both classical and contemporary mathematics.



Integrable Systems


Integrable Systems
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Author : V. Babelon
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Integrable Systems written by V. Babelon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.


This book constitutes the proceedings of the International Conference on Integrable Systems in memory of J.-L. Verdier. It was held on July 1-5, 1991 at the Centre International de Recherches Mathematiques (C.I.R.M.) at Luminy, near Marseille (France). This collection of articles, covering many aspects of the theory of integrable Hamiltonian systems, both finite and infinite-dimensional, with an emphasis on the algebro-geometric meth ods, is published here as a tribute to Verdier who had planned this confer ence before his death in 1989 and whose active involvement with this topic brought integrable systems to the fore as a subject for active research in France. The death of Verdier and his wife on August 25, 1989, in a car accident near their country house, was a shock to all of us who were acquainted with them, and was very deeply felt in the mathematics community. We knew of no better way to honor Verdier's memory than to proceed with both the School on Integrable Systems at the C.I.M.P.A. (Centre International de Mathematiques Pures et Appliquees in Nice), and the Conference on the same theme that was to follow it, as he himself had planned them.



Integrable Systems


Integrable Systems
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Author : Sergeĭ Petrovich Novikov
language : en
Publisher: Cambridge University Press
Release Date : 1981-09-17

Integrable Systems written by Sergeĭ Petrovich Novikov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-09-17 with Mathematics categories.


This book considers the theory of 'integrable' non-linear partial differential equations. The theory was developed at first by mathematical physicists but later mathematicians, particularly from the Soviet Union, were attracted to the field. In this volume are reprinted some fundamental contributions, originally published in Russian Mathematical Surveys, from some of the leading Soviet workers. Dr George Wilson has written an introduction intended to smooth the reader's path through some of the articles.



Integrable Systems And Algebraic Geometry


Integrable Systems And Algebraic Geometry
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Author : Ron Donagi
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-02

Integrable Systems And Algebraic Geometry written by Ron Donagi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-02 with Mathematics categories.


A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.



Integrable Systems


Integrable Systems
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Author : John P. Harnad
language : en
Publisher: American Mathematical Soc.
Release Date :

Integrable Systems written by John P. Harnad and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


A dozen papers provide a cross-section of current research into integrable systems. Contributors from Europe, North America, and the Asia explore such aspects as the geometry of generalized Hitchin systems, the quantum inverse scattering problem and correlation functions of integrable models, characteristic systems on Poisson Lie groups and their quantization, special functions associated with Calogero-Moser type quantum systems, and the universality of the distribution functions of random matrix theory. There is no index. Annotation copyrighted by Book News, Inc., Portland, OR



Integrable Systems In Celestial Mechanics


Integrable Systems In Celestial Mechanics
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Author : Diarmuid Ó'Mathúna
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-15

Integrable Systems In Celestial Mechanics written by Diarmuid Ó'Mathúna and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-15 with Science categories.


Shows that exact solutions to the Kepler (two-body), the Euler (two-fixed center), and the Vinti (earth-satellite) problems can all be put in a form that admits the general representation of the orbits and follows a definite shared pattern Includes a full analysis of the planar Euler problem via a clear generalization of the form of the solution in the Kepler case Original insights that have hithertofore not appeared in book form



Probability Geometry And Integrable Systems


Probability Geometry And Integrable Systems
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Author : Mark Pinsky
language : en
Publisher: Cambridge University Press
Release Date : 2008-03-17

Probability Geometry And Integrable Systems written by Mark Pinsky and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-17 with Mathematics categories.


Reflects the range of mathematical interests of Henry McKean, to whom it is dedicated.



Quantum Correlations In Field Theory And Integrable Systems


Quantum Correlations In Field Theory And Integrable Systems
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Author : Stefano Evangelisti
language : en
Publisher: Minkowski Institute Press
Release Date : 2013-05-31

Quantum Correlations In Field Theory And Integrable Systems written by Stefano Evangelisti and has been published by Minkowski Institute Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-31 with Science categories.


This doctoral thesis analytically and numerically examines some of the most important concepts in quantum correlations in low-dimensional physics: entanglement and out-of-equilibrium dynamics. As John Bell once said: "Entanglement expresses the spooky nonlocality inherent to quantum mechanics", and its study not only concerns the foundations of any quantum theory, but also has important applications in quantum information and condensed matter theory, amongst others. The first chapters are devoted to the study of "entanglement entropies", a popular measure of the "quantumness" of a physical system. The main focus of the analysis is the one-dimensional XYZ spin-1/2 chain in equilibrium, an interacting theory which in addition to being integrable also has interesting scaling limits, such as the sine-Gordon field theory. Moving away from equilibrium the subsequent chapters deal with the dynamics of quantum correlators after an instantaneous quantum quench. The emphasis is on two different models and techniques; the transverse field Ising chain is studied using the form-factor approach and the O(3) non-linear sigma model is studied by means of the semi-classical theory. In the final chapter the author highlights an important general result: in the absence of long-range interactions in the final Hamiltonian the dynamics of a quantum system are determined by the same statistical ensemble that describes static correlations.