Quantum Inverse Scattering Method And Correlation Functions
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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
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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.
Inverse Scattering And Applications
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Author : David H. Sattinger
language : en
Publisher: American Mathematical Soc.
Release Date : 1991
Inverse Scattering And Applications written by David H. Sattinger 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 1991 with Mathematics categories.
This book presents papers given at a Conference on Inverse Scattering on the Line, held in June 1990 at the University of Massachusetts, Amherst. A wide variety of topics in inverse problems were covered: inverse scattering problems on the line; inverse problems in higher dimensions; inverse conductivity problems; and numerical methods. In addition, problems from statistical physics were covered, including monodromy problems, quantum inverse scattering, and the Bethe ansatz. One of the aims of the conference was to bring together researchers in a variety of areas of inverse problems which have seen intensive activity in recent years. scattering
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.
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.
Professor L. D. Faddeev's seminar at Steklov Mathematical Institute (St. Petersburg, Russia) has a long history of over 30 years of intensive work which shaped modern mathematical physics. This collection, honoring Professor Faddeev's 65th anniversary, has been prepared by his students and colleagues. Topics covered in the volume include classical and quantum integrable systems (both analytic and algebraic aspects), quantum groups and generalizations, quantum field theory, and deformation quantization. Included is a history of the seminar highlighting important developments, such as the invention of the quantum inverse scattering method and of quantum groups. The book will serve nicely as a comprehensive, up-to-date resource on the topic.
Quantum Spaces
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Author : Vincent Rivasseau
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-22
Quantum Spaces written by Vincent Rivasseau 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 2007-12-22 with Science categories.
This book confirms noncommutative geometry as an increasingly useful tool for the description of intricate condensed matter phenomena. It describes the striking progress recently made in gathering all the interactions and fields of the standard model into a non-commutative geometry on a simple internal space. Coverage also details the very recent technique of renormalization of quantum field theories on non-commutative space-time.
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.
Inverse Problems In Quantum Scattering Theory
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Author : K. Chadan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18
Inverse Problems In Quantum Scattering Theory written by K. Chadan 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 2013-04-18 with Science categories.
Q Operators Yangian Invariance And The Quantum Inverse Scattering Method
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Author :
language : en
Publisher:
Release Date : 2014
Q Operators Yangian Invariance And The Quantum Inverse Scattering Method written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
Inverse Scattering Problems In Optics
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Author : H.P. Baltes
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Inverse Scattering Problems In Optics written by H.P. Baltes 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.
When, in the spring of 1979, H.P. Baltes presented me with the precursor of this vo 1 ume, the book on "Inverse Source Problems in Opti cs", I expressed my gratitude in a short note, 11hich in translation, reads: "Dear Dr. Ba ltes, the mere titl e of your unexpected gift evokes memori es of a period, which, in the terminology of your own contribution, would be described as the Stone Age of the Inverse Problem. Those were pleasant times. Walter Kohn and I lived in a cave by ourselves, drew pictures on the walls, and nobody seemed to care. Now, however, Inversion has become an Industry, which I contemplate with as much bewilderment as a surviving Tasmanian aborigine gazing at a modern oil refinery with its towers, its fl ares, and the confus i ng maze of its tubes." The present volume makes me feel even more aboriginal - impossible for me to fathom its content. What I can point out, however, is one of the forgotten origins of the Inverse Scattering Problem of Quantum Mechanics: Werner Heisenberg's "S-Matrix Theory" of 1943. This grandiose scheme had the purpose of eliminating the notion of the Hamiltonian in favour of the scattering operator. If Successful, it would have done away once and for all with any kind of inverse problem.