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Quantum Inverse Scattering Method And Correlation Functions


Quantum Inverse Scattering Method And Correlation Functions
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Quantum Inverse Scattering Method And Correlation Functions


Quantum Inverse Scattering Method And Correlation Functions
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Author : Vladimir E. Korepin
language : en
Publisher:
Release Date : 1993

Quantum Inverse Scattering Method And Correlation Functions written by Vladimir E. Korepin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Correlation (Statistics) categories.




Quantum Inverse Scattering Method And Correlation Functions


Quantum Inverse Scattering Method And Correlation Functions
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Author : V. E. Korepin
language : en
Publisher: Cambridge University Press
Release Date : 1997-03-06

Quantum Inverse Scattering Method And Correlation Functions written by V. E. Korepin 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 1997-03-06 with Mathematics categories.


The quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics (such as the sine-Go rdon equation or the quantum non-linear Schrödinger equation). These models are the subject of much attention amongst physicists and mathematicians.The present work is an introduction to this important and exciting area. It consists of four parts. The first deals with the Bethe ansatz and calculation of physical quantities. The authors then tackle the theory of the quantum inverse scattering method before applying it in the second half of the book to the calculation of correlation functions. This is one of the most important applications of the method and the authors have made significant contributions to the area. Here they describe some of the most recent and general approaches and include some new results.The book will be essential reading for all mathematical physicists working in field theory and statistical physics.



L D Faddeev S Seminar On Mathematical Physics


L D Faddeev S Seminar On Mathematical Physics
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Author : Michael Semenov-Tian-Shansky
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

L D Faddeev S Seminar On Mathematical Physics written by Michael Semenov-Tian-Shansky 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 2000 with Mathematics categories.


A collection of articles written by researchers affiliated with L. D. Faddeev's seminar at the Leningrad Department of the Steklov Mathematical Institute. Two papers deal with subjects arising from quantum field theory, and another group of papers examine various aspects of the classical inverse scattering method and its generalizations. A third group of papers deals with various aspects of the quantum inverse scattering method and quantum groups. A final paper reports on a new advance in deformation quantization and presents an explicit formula for the (formal) deformation quantization on arbitrary Kahler manifolds. Annotation copyrighted by Book News, Inc., Portland, OR



Algebraic Bethe Ansatz And Correlation Functions An Advanced Course


Algebraic Bethe Ansatz And Correlation Functions An Advanced Course
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Author : Nikita Slavnov
language : en
Publisher: World Scientific
Release Date : 2022-05-12

Algebraic Bethe Ansatz And Correlation Functions An Advanced Course written by Nikita Slavnov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-12 with Science categories.


It is unlikely that today there is a specialist in theoretical physics who has not heard anything about the algebraic Bethe ansatz. Over the past few years, this method has been actively used in quantum statistical physics models, condensed matter physics, gauge field theories, and string theory.This book presents the state-of-the-art research in the field of algebraic Bethe ansatz. Along with the results that have already become classic, the book also contains the results obtained in recent years. The reader will get acquainted with the solution of the spectral problem and more complex problems that are solved using this method. Various methods for calculating scalar products and form factors are described in detail. Special attention is paid to applying the algebraic Bethe ansatz to the calculation of the correlation functions of quantum integrable models. The book also elaborates on multiple integral representations for correlation functions and examples of calculating the long-distance asymptotics of correlations.This text is intended for advanced undergraduate and postgraduate students, and specialists interested in the mathematical methods of studying physical systems that allow them to obtain exact results.



Spinning Strings And Correlation Functions In The Ads Cft Correspondence


Spinning Strings And Correlation Functions In The Ads Cft Correspondence
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Author : Juan Miguel Nieto
language : en
Publisher: Springer
Release Date : 2018-07-21

Spinning Strings And Correlation Functions In The Ads Cft Correspondence written by Juan Miguel Nieto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-21 with Science categories.


This book addresses several aspects of the integrable structure of the AdS/CFT correspondence. In particular it presents computations made on both sides of the AdS/CFT correspondence, at weak and at strong coupling. On the string theory side of the correspondence, the book focuses on the evaluation of the energy spectrum of closed string solutions moving in some deformed backgrounds that preserve integrability. On the gauge theory side, it explores various formal problems arising in the computation of two and three-point functions by means of the Algebraic Bethe Ansatz and the Quantum Inverse Scattering method. The book features numerous results on integrability in the context of the AdS/CFT correspondence. Self-contained and pedagogical, it includes general discussions and detailed presentations on the use of integrable systems techniques and their applications.



Symmetries And Integrability Of Difference Equations


Symmetries And Integrability Of Difference Equations
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Author : Decio Levi
language : en
Publisher: American Mathematical Soc.
Release Date : 1996

Symmetries And Integrability Of Difference Equations written by Decio Levi 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 1996 with Mathematics categories.


This book is devoted to a topic that has undergone rapid and fruitful development over the last few years: symmetries and integrability of difference equations and q-difference equations and the theory of special functions that occur as solutions of such equations. Techniques that have been traditionally applied to solve linear and nonlinear differential equations are now being successfully adapted and applied to discrete equations. This volume is based on contributions made by leading experts in the field during the workshop on Symmetries and Integrability of Difference Equations held Estérel, Québec, in May 1994. Giving an up-to-date review of the current status of the field, the book treats these specific topics: Lie group and quantum group symmetries of difference and q-difference equations, integrable and nonintegrable discretizations of continuous integrable systems, integrability of difference equations, discrete Painlevé property and singularity confinement, integrable mappings, applications in statistical mechanics and field theories, Yang-Baxter equations, q-special functions and discrete polynomials, and q-difference integrable systems.



Hydrodynamic Scales Of Integrable Many Body Systems


Hydrodynamic Scales Of Integrable Many Body Systems
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Author : Herbert Spohn
language : en
Publisher: World Scientific
Release Date : 2024-02-27

Hydrodynamic Scales Of Integrable Many Body Systems written by Herbert Spohn and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-27 with Science categories.


This book provides a broad introduction to integrable systems with many degrees of freedom. Within a much larger orbit, discussed are models such as the classical Toda lattice, Calogero fluid, and Ablowitz-Ladik discretized nonlinear Schrödinger equation. On the quantum mechanical side, featured are the Lieb-Liniger delta-Bose gas and the quantum Toda lattice. As a genuinely novel twist, the study deals with random initial data described by generalized Gibbs ensembles with parameters of slow spatial variation. This is the hydrodynamic scale, in spirit similar to the ballistic Euler scale of nonintegrable simple fluids. While integrable microscopic particle models are very diverse, the central theme of this book is to elucidate their structural similarity on hydrodynamic scales.



Lie Groups Lie Algebras Cohomology And Some Applications In Physics


Lie Groups Lie Algebras Cohomology And Some Applications In Physics
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Author : Josi A. de Azcárraga
language : en
Publisher: Cambridge University Press
Release Date : 1998-08-06

Lie Groups Lie Algebras Cohomology And Some Applications In Physics written by Josi A. de Azcárraga 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 1998-08-06 with Mathematics categories.


A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics.



The Large Scale Structure Of Space Time


The Large Scale Structure Of Space Time
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Author : Stephen W. Hawking
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-16

The Large Scale Structure Of Space Time written by Stephen W. Hawking 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 2023-02-16 with Science categories.


First published in 1973, this influential work discusses Einstein's General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form 'black holes'; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space-time curvature and examine the properties of a number of exact solutions of Einstein's field equations. They develop the theory of the causal structure of a general space-time, and use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.



The Theory And Applications Of Instanton Calculations


The Theory And Applications Of Instanton Calculations
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Author : Manu Paranjape
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-09

The Theory And Applications Of Instanton Calculations written by Manu Paranjape 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 2023-02-09 with Science categories.


This 2017 volume, now reissued as OA, provides an accessible, detailed introduction to instanton methods and their many applications.