The Yang Baxter Equation For Integrable Systems
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Yang Baxter Equation In Integrable Systems
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Author : Michio Jimbo
language : en
Publisher: World Scientific
Release Date : 1990-03-01
Yang Baxter Equation In Integrable Systems written by Michio Jimbo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-03-01 with Science categories.
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, knot theory and conformal field theory. The articles assembled here cover major works from the pioneering papers to classical Yang-Baxter equation, its quantization, variety of solutions, constructions and recent generalizations to higher genus solutions./a
The Yang Baxter Equation For Integrable Systems
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Author : University of Minnesota. Institute for Mathematics and Its Applications
language : en
Publisher:
Release Date : 1989
The Yang Baxter Equation For Integrable Systems written by University of Minnesota. Institute for Mathematics and Its Applications and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
The Dynamical Yang Baxter Equation Representation Theory And Quantum Integrable Systems
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Author : Pavel I. Etingof
language : en
Publisher: Oxford University Press, USA
Release Date : 2005
The Dynamical Yang Baxter Equation Representation Theory And Quantum Integrable Systems written by Pavel I. Etingof and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups. The book, which contains many detailed proofs and explicit calculations, will be accessible to graduate students of mathematics, who are familiar with the basics of representation theory of semisimple Lie algebras.
The Dynamical Yang Baxter Equation Representation Theory And Quantum Integrable Systems
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Author : Pavel Etingof
language : en
Publisher: OUP Oxford
Release Date : 2005-03-24
The Dynamical Yang Baxter Equation Representation Theory And Quantum Integrable Systems written by Pavel Etingof and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-24 with Mathematics categories.
The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups. The book, which contains many detailed proofs and explicit calculations, will be accessible to graduate students of mathematics, who are familiar with the basics of representation theory of semisimple Lie algebras.
The Dynamical Yang Baxter Equation Representation Theory And Quantum Integrable Systems
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Author : P. I. Etingof
language : en
Publisher:
Release Date : 2005
The Dynamical Yang Baxter Equation Representation Theory And Quantum Integrable Systems written by P. I. Etingof 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.
An Introduction To Integrable Techniques For One Dimensional Quantum Systems
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Author : Fabio Franchini
language : en
Publisher: Springer
Release Date : 2017-05-25
An Introduction To Integrable Techniques For One Dimensional Quantum Systems written by Fabio Franchini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-25 with Science categories.
This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz, with some discussion on the finite temperature thermodynamics. The aim is to provide the instruments to approach more advanced books or to allow for a critical reading of research articles and the extraction of useful information from them. We describe the solution of the anisotropic XY spin chain; of the Lieb-Liniger model of bosons with contact interaction at zero and finite temperature; and of the XXZ spin chain, first in the coordinate and then in the algebraic approach. To establish the connection between the latter and the solution of two dimensional classical models, we also introduce and solve the 6-vertex model. Finally, the low energy physics of these integrable models is mapped into the corresponding conformal field theory. Through its style and the choice of topics, this book tries to touch all fundamental ideas behind integrability and is meant for students and researchers interested either in an introduction to later delve in the advance aspects of Bethe Ansatz or in an overview of the topic for broadening their culture.
Exactly Solved Models In Statistical Mechanics
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Author : Rodney J. Baxter
language : en
Publisher: Courier Corporation
Release Date : 2007-01-01
Exactly Solved Models In Statistical Mechanics written by Rodney J. Baxter and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Science categories.
Exploration of two-dimensional lattice models examines basic statistical mechanics, Ising models, spherical models, ice-type models, corner transfer matrices, and elliptic functions. 1982 edition, with author's 2007 update on subsequent developments.
New Trends In Quantum Integrable Systems
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Author : Boris Feigin
language : en
Publisher: World Scientific
Release Date : 2010-10-29
New Trends In Quantum Integrable Systems written by Boris Feigin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-29 with Mathematics categories.
The present volume is the result of the international workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. As a continuation of the RIMS Research Project "Method of Algebraic Analysis in Integrable Systems" in 2004, the workshop's aim was to cover exciting new developments that have emerged during the recent years. Collected here are research articles based on the talks presented at the workshop, including the latest results obtained thereafter. The subjects discussed range across diverse areas such as correlation functions of solvable models, integrable models in quantum field theory, conformal field theory, mathematical aspects of Bethe ansatz, special functions and integrable differential/difference equations, representation theory of infinite dimensional algebras, integrable models and combinatorics. Through these topics, the reader is exposed to the most recent developments in the field of quantum integrable systems and related areas of mathematical physics.
Representations Of The Infinite Symmetric Group
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Author : Alexei Borodin
language : en
Publisher: Cambridge University Press
Release Date : 2017
Representations Of The Infinite Symmetric Group written by Alexei Borodin 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 2017 with Mathematics categories.
An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.
Topics On Analysis In Metric Spaces
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Author : Luigi Ambrosio
language : en
Publisher: OUP Oxford
Release Date : 2004
Topics On Analysis In Metric Spaces written by Luigi Ambrosio and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This book presents the main mathematical prerequisites for analysis in metric spaces. It covers abstract measure theory, Hausdorff measures, Lipschitz functions, covering theorums, lower semicontinuity of the one-dimensional Hausdorff measure, Sobolev spaces of maps between metric spaces, and Gromov-Hausdorff theory, all developed ina general metric setting. The existence of geodesics (and more generally of minimal Steiner connections) is discussed on general metric spaces and as an application of the Gromov-Hausdorff theory, even in some cases when the ambient space is not locally compact. A brief and very general description of the theory of integration with respect to non-decreasing set functions is presented following the Di Giorgi method of using the 'cavalieri' formula as the definition of the integral. Based on lecture notes from Scuola Normale, this book presents the main mathematical prerequisites for analysis in metric spaces. Supplemented with exercises of varying difficulty it is ideal for a graduate-level short course for applied mathematicians and engineers.