Quantum groups, integrable models and statistical systems 1992 CAP/NSERC Summer Institute in Theoretical Physics, Kingston, Ontario, Canada, 13-18 July 1992 by CAP-NSERC Summer Institute in Theoretical Physics (1992 Kingston, Ont.)

Cover of: Quantum groups, integrable models and statistical systems | CAP-NSERC Summer Institute in Theoretical Physics (1992 Kingston, Ont.)

Published by World Scientific in Singapore, River Edge, NJ .

Written in English

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Subjects:

  • Quantum groups -- Congresses.,
  • Mathematical physics -- Congresses.

Edition Notes

Includes bibliographical references.

Book details

Statementeditors, Jean LeTourneux, Luc Vinet.
ContributionsLeTourneux, Jean., Vinet, Luc.
Classifications
LC ClassificationsQC20.7.G76 C36 1992
The Physical Object
Paginationix, 290 p. :
Number of Pages290
ID Numbers
Open LibraryOL1181120M
ISBN 10981021555X
LC Control Number94168699
OCLC/WorldCa30519767

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Quantum Groups, Integrable Models and Statistiacal Systems. by Jean Letourneux (Editor), Luc Vinet (Editor) ISBN ISBN X. Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book Author: Jean Letourneux.

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 : Paperback.

Integrable Systems, Quantum Groups, 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 integrable models and statistical systems book several of the lectures contained in the book.

Advanced Studies in Pure Mathematics, Volume Integrable Systems in Quantum Field Theory and Statistical Mechanics provides information pertinent to the advances in the study of pure mathematics. This book covers a variety of topics, including statistical mechanics, eigenvalue spectrum, conformal field theory, quantum groups and integrable models, integrable field theory, and conformal invariant Edition: 1.

Integrable Systems in Quantum Field Theory and Statistical Mechanics [Jimbo, M., Miwa, T., Tsuchiya, A.] on *FREE* shipping on qualifying offers. Integrable Systems in Quantum Field Theory and Statistical. Ladislav Šamaj is a Research Professor within the Institute of Physics at the Slovak Academy of Sciences and teaches statistical mechanics of integrable many-body systems at the Price: $ The aim of this CIME Session was to review the state of the art in the recent development of the theory of integrable systems and their relations with quantum groups.

The purpose was to. Systems, Cambridge University Press Integrable Systems in Quantum Field Theory and Statistical Mechan Eigenvalue spectrum of the superintegrable chiral Potts model, in Integrable systems in quantum field theory and statistical mechanics, Adv - Albertini.

Integrable Systems in Quantum Field Theory and Statistical. Integrable systems and quantum groups. We present some aspects of the study of quantum integrable systems and its relation to quantum groups. Discover the world's. INTRODUCTION TO THE STATISTICAL PHYSICS OF INTEGRABLE MANY-BODY SYSTEMS.

Including topics not traditionally covered in the literature, such as (1 +1)- dimensional quantum field theory and classical two-dimensional Coulomb gases, this book considers a wide range of models. Advanced Studies in Pure Mathematics, Volume Integrable Systems in Quantum Field Theory and Statistical Mechanics provides information pertinent to the advances in the study of pure mathematics.

This book covers a variety of topics, including statistical mechanics, eigenvalue spectrum, conformal field theory, quantum groups and integrable models, integrable field theory, and conformal invariant models. 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.

Quantum and Classical Integrable Systems 3. The study of integrable models may be divided into two different parts. The first one is, so to say, kinematic: it consists in the choice of appropriate models. It is essential reading to those working in the fields of Quantum Groups, and Integrable Systems.

Contents: Topics from Representations of Uq(g) — An Introductory Guide to Physicists (M Jimbo) Related Books. Quantum Groups, Integrable Statistical Models. Quantum Groups, Integrable Statistical Models and Knot Theory.

Introduction to Quantum Group and Integrable Massive Models of Quantum Field Theory. Quantum Group and Quantum Integrable Systems. New Developments of Integrable Systems and Long-Ranged Interaction Models. Abstract. The solution of the Heisenberg model (XXX-spin chain) is reviewed to define main ingredients of the quantum inverse scattering spectrum and eigenfunctions are constructed by the algebraic Bethe Ansatz.

A dynamical symmetry algebra is identified with a quantum group Cited by: 1. Beyond the intrinsic interest in the study of integrable models of many-particle systems, spin chains, lattice and field theory models at both the classical and the quantum level, and completely solvable models in statistical.

A short review on quantum groups as well as the quantum inverse scattering method (algebraic Bethe ansatz) is also presented. Mathematical Physics (math-ph); Statistical Mechanics (-mech); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems Cited by:   This volume will be the first reference book devoted specially to the Yang-Baxter equation.

The subject relates to broad areas including solvable models in statistical mechanics, factorized S matrices, quantum inverse scattering method, quantum groups. The paper deals with the integrable massive models of quantum field theory. It is shown that generalized statistics of physical particles is closely connected with the invariance under quantum groups.

This invariance provides the possibility to construct quasi-local operators (parafermions) possessing generalized statistics Cited by: In the context of differential equations to integrate an equation means to solve it from initial conditions. Accordingly, an integrable system is a system of differential equations whose behavior is determined by initial conditions and which can be integrated from those initial conditions.

Many systems of differential equations arising in physics are integrable. A standard example is the motion of a rigid body about its center of mass. This system. Knots, braids and statistical mechanics, V.F.R. Jones; integrability and quantum symmetries, C. Gomez and G. Sierra; integrable systems associated to the lattice version of the virasoro algebra- 1 the classical open chain, O.

Babelon; quasi Hopf algebras, group cohomology and orbifold models. Quantum groups, integrable models and statistical systems: CAP/NSERC Summer Institute in Theoretical Physics, Kingston, Ontario, Canada, July Generation of new classes of integrable quantum and statistical models Article in Physica A: Statistical Mechanics and its Applications () April with 9 Reads How we.

Nankai Lectures on Mathematical Physics Quantum Groups, Integrable Statistical Models and Knot Theory, pp. () No Access VASSILIEV INVARIANTS AND THE JONES.

Ladislav Šamaj is a Research Professor within the Institute of Physics at the Slovak Academy of Sciences and teaches statistical mechanics of integrable many-body systems at the Institute of Price: $ recent results in integrable models of classical and quantum mechanics, field theory and statistical physics algebraic, geometric and combinatorial aspects of integrability including quantum groups, cluster algebras, conformal field theory, vertex algebras, special functions etc.

integrable. Quantum integrability basically means that the model is Bethe Ansatz solvable. This means that we can, using the Yang-Baxter relation, get a so-called "transfer matrix" which can be used to. Some algebraic and analytic structures in integrable systems.

Low-Dimensional Models in Statistical Physics and Quantum Field Theory, pp Integrable systems on quantum groups Author: Nicolai Reshetikhin. Low-Dimensional Models in Statistical Physics and Quantum Field Theory The main items can be grouped into integrable (quantum) spin systems, which lead in the continuum limit to (conformal invariant) quantum field theory models and their algebraic structures, ranging from the Yang-Baxter equation and quantum groups.

Yang-Baxter Equation and Quantum Groups; His previous book on Quantum Mechanics based upon his lectures (jointly written with Prof A C Melissinos) has received many good reviews from several physicists, notably Professor T D Lee of Columbia University. His current lecture notes on the soliton and integrable models.

This workshop will focus on the relations of random matrices to integrable systems and to exactly solvable statistical mechanics and topological field models. The following three groups of topics will be of primary interest: Random matrices, orthogonal polynomials, and integrable systems.

Get this from a library. Integrable Systems, Quantum Groups, and Quantum Field Theories. [L A Ibort; M A Rodríguez] -- 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. A system is called (Liouville) integrable if there are as many independent. integrals of motion. as degrees. of freedom. Quantum physics: A system is called integrable if it possesses an infinite number of conserved charges.

Non-abelian algebras in integrable systems. R -matrices are used to construct a set of transfer operators that describe a quantum in-tegrable system.

An elaborate proof of the simultaneous diagonalizability of the transfer operators is provided. This work largely follows a structure outlined by Pavel Etingof.

Title: Quantum Dynamical R -matrices and Quantum Integrable Systems. ELSEVIER Physica D 86 () i PHYSlCA Quantum integrability and quantum groups Miki Wadati Department of Physics, Faculty of Science, University of Tokyo, HongoBunkyo-ku, TokyoJapan Abstract This report presents a brief summary of the theory of quantum integrable by: 1.

Beginning with a treatise of nonrelativistic 1D continuum Fermi and Bose quantum gases of identical spinless particles, the book describes the quantum inverse scattering method and the analysis of the related Yang–Baxter equation and integrable quantum Heisenberg models.

It also discusses systems Brand: Cambridge University Press. Such quantum systems evolve over the reversible equations of motion (Schrödinger’s equation). Poincare’s theorem is also correct for such systems. Moreover, the quantum system properties are similar to the classical integrable system properties (integrable systems are a very small part of all possible classical systems.

Read "Introduction to the Statistical Physics of Integrable Many-body Systems" by Ladislav Šamaj available from Rakuten Kobo.

Including topics not traditionally covered in Brand: Cambridge University Press. A systematic approach for generation of integrable quantum lattice models exploiting the underlying Uq(2) quantum group structure as well as its multiparameter generalization is.

The Yang-Baxter relation is a key of new ideas and new concepts in recent mathematical physics such as knot theory based on solvable models, and quantum groups. Elsevier Science Publishers B.\!

This report presents some recent results related to the quantum integrable by: 4.This text covers the recent developments of the exact solvable models, Yangian symmetry, the long-ranged interaction models and high-dimensional integrable systems.Quantum statistical mechanics is statistical mechanics applied to quantum mechanical systems.

In quantum mechanics a statistical ensemble (probability distribution over possible quantum .

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