Universality Of Calogero Moser Model
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Universality Of Calogero Moser Model
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Author : M. A. Olshanetsky
language : en
Publisher:
Release Date : 2004
Universality Of Calogero Moser Model written by M. A. Olshanetsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Elliptic functions categories.
Abstract: "In this review we explain interrelations between the Elliptic Calogero-Moser model, the integrable Elliptic Euler-Arnold top, monodromy preserving equations and the Knizhnik-Zamolodchikov-Bernard equation on a torus."
Calogero Moser Systems And Representation Theory
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Author : Pavel I. Etingof
language : en
Publisher: European Mathematical Society
Release Date : 2007
Calogero Moser Systems And Representation Theory written by Pavel I. Etingof and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Calogero-Moser systems, which were originally discovered by specialists in integrable systems, are currently at the crossroads of many areas of mathematics and within the scope of interests of many mathematicians. More specifically, these systems and their generalizations turned out to have intrinsic connections with such fields as algebraic geometry (Hilbert schemes of surfaces), representation theory (double affine Hecke algebras, Lie groups, quantum groups), deformation theory (symplectic reflection algebras), homological algebra (Koszul algebras), Poisson geometry, etc. The goal of the present lecture notes is to give an introduction to the theory of Calogero-Moser systems, highlighting their interplay with these fields. Since these lectures are designed for non-experts, the author gives short introductions to each of the subjects involved and provides a number of exercises.
Calogero Moser Sutherland Models
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Author : Jan F. van Diejen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Calogero Moser Sutherland Models written by Jan F. van Diejen 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 2012-12-06 with Science categories.
In the 1970s F. Calogero and D. Sutherland discovered that for certain potentials in one-dimensional systems, but for any number of particles, the Schrödinger eigenvalue problem is exactly solvable. Until then, there was only one known nontrivial example of an exactly solvable quantum multi-particle problem. J. Moser subsequently showed that the classical counterparts to these models is also amenable to an exact analytical approach. The last decade has witnessed a true explosion of activities involving Calogero-Moser-Sutherland models, and these now play a role in research areas ranging from theoretical physics (such as soliton theory, quantum field theory, string theory, solvable models of statistical mechanics, condensed matter physics, and quantum chaos) to pure mathematics (such as representation theory, harmonic analysis, theory of special functions, combinatorics of symmetric functions, dynamical systems, random matrix theory, and complex geometry). The aim of this volume is to provide an overview of the many branches into which research on CMS systems has diversified in recent years. The contributions are by leading researchers from various disciplines in whose work CMS systems appear, either as the topic of investigation itself or as a tool for further applications.
Universality Of Calogero Moder Model
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Author : M. A. Olshanetsky
language : en
Publisher:
Release Date : 2004
Universality Of Calogero Moder Model written by M. A. Olshanetsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Physics And Combinatorics 2000
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Author : Anatol N. Kirillov
language : en
Publisher: World Scientific
Release Date : 2001
Physics And Combinatorics 2000 written by Anatol N. Kirillov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
The Nagoya 2000 International Workshop gathered together a group of scientists actively working in combinatorics, representation theory, special functions, number theory and mathematical physics, to acquaint the participants with some basic results in their fields and to discuss existing and possible interactions between the mentioned subjects. This volume constitutes the proceedings of the workshop. Contents: Vanishing Theorems and Character Formulas for the Hilbert Scheme of Points in the Plane (M Haiman); Exclusion Statistics and Chiral Partition Function (K Hikami); On the Spectrum of Dehn Twists in Quantum Teichmller Theory (R Kashaev); Introduction to Tropical Combinatorics (A Kirillov); Transition on Grothendieck Polynomials (A Lascoux); Generalized HAlder''s Theorem for Multiple Gamma Function (M Nishizawa); Quantum Calogero-Moser Models: Complete Integrability for All the Root Systems (R Sasaki); Simplification of Thermodynamic BetheOCoAnsatz Equations (M Takahashi); and other papers. Readership: Researchers and graduates in mathematical physics and combinatorics & graph theory."
Integrable Quantum Field Theories And Their Application
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Author : Changrim Ahn
language : en
Publisher: World Scientific
Release Date : 2001
Integrable Quantum Field Theories And Their Application written by Changrim Ahn and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Applications of reflection amplitudes in Toda-type theories / C. Ahn, C. Kim and C. Rim -- Lax pairs and involutive Hamiltonians for CN and BCN Ruijsenaars-Schneider models / Kai Chen, B.-Y. Hou and W.-L. Yang -- Fateev's models and their applications / D. Controzzi and A.M. Tsvelik -- The ODE/IM correspondence / P. Dorey, C. Dunning and R. Tateo -- Integrable sigma models / P. Fendley -- Lorentz lattice gases and spin chains / M.J. Martins -- Quantum Calogero-Moser models for any root system / R. Sasaki -- Quasi-particles in conformal field theories for fractional quantum Hall systems / K. Schoutens and R.A.J. van Elburg -- Towards form factors in finite volume / F.A. Smirnov -- Static and dynamic properties of trapped Bose-Einstein condensates / T. Tsurumi, H. Morise and M. Wadati -- Integrability of the Calogero Model: Conserved quantities, the classical general solution and the quantum orthogonal basis / H. Ujino, A. Nishino and M. Wadati -- Conformal boundary conditions / J.-B. Zuber
New Trends In Integrability And Partial Solvability
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Author : A.B. Shabat
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
New Trends In Integrability And Partial Solvability written by A.B. Shabat 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 2012-12-06 with Science categories.
Proceedings of the NATO Advanced Research Workshop, held in Cadiz, Spain, from 12 to 16 June 2002
Algebraic Structures In Integrability Foreword By Victor Kac
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Author : Vladimir V Sokolov
language : en
Publisher: World Scientific
Release Date : 2020-06-05
Algebraic Structures In Integrability Foreword By Victor Kac written by Vladimir V Sokolov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-05 with Science categories.
Relationships of the theory of integrable systems with various branches of mathematics are extremely deep and diverse. On the other hand, the most fundamental exactly integrable systems often have applications in theoretical physics. Therefore, many mathematicians and physicists are interested in integrable models.The book is intelligible to graduate and PhD students and can serve as an introduction to separate sections of the theory of classical integrable systems for scientists with algebraic inclinations. For the young, the book can serve as a starting point in the study of various aspects of integrability, while professional algebraists will be able to use some examples of algebraic structures, which appear in the theory of integrable systems, for wide-ranging generalizations.The statements are formulated in the simplest possible form. However, some ways of generalization are indicated. In the proofs, only essential points are mentioned, while for technical details, references are provided. The focus is on carefully selected examples. In addition, the book proposes many unsolved problems of various levels of complexity. A deeper understanding of every chapter of the book may require the study of more rigorous and specialized literature.
Integrable Quantum Field Theories And Their Applications Procs Of The Apctp Winter School
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Author : Changrim Ahn
language : en
Publisher: World Scientific
Release Date : 2001-09-25
Integrable Quantum Field Theories And Their Applications Procs Of The Apctp Winter School written by Changrim Ahn and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-25 with Science categories.
This volume includes several lecture notes on the fundamentals and elementary techniques of integrable field theories and on their applications to low-dimensional physics systems contributed by leading scientists in the respective fields. The main topics covered are various aspects of the thermodynamic Bethe ansatz, form factors, Calogero (and related) models, sigma models, conformal boundary conditions, etc. The volume presents both pedagogical material and a current research trend in the field.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)
Physics And Combinatorics Procs Of The Nagoya 2000 Intl Workshop
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Author : Anatol N Kirillov
language : en
Publisher: World Scientific
Release Date : 2001-04-19
Physics And Combinatorics Procs Of The Nagoya 2000 Intl Workshop written by Anatol N Kirillov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-19 with Science categories.
The Nagoya 2000 International Workshop gathered together a group of scientists actively working in combinatorics, representation theory, special functions, number theory and mathematical physics, to acquaint the participants with some basic results in their fields and to discuss existing and possible interactions between the mentioned subjects. This volume constitutes the proceedings of the workshop.