Quantum Inverse Scattering Method And Correlation Functions

Author : V. E. Korepin
Publisher : Cambridge University Press
ISBN 13 : 9780521586467
Total Pages : 582 pages
Book Rating : 4.61/5 ( download)

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Download or read book Quantum Inverse Scattering Method and Correlation Functions written by V. E. Korepin and published by Cambridge University Press. This book was released on 1997-03-06 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Michael Semenov-Tian-Shansky
Publisher : American Mathematical Soc.
ISBN 13 : 9780821821336
Total Pages : 336 pages
Book Rating : 4.34/5 ( download)

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Download or read book L. D. Faddeev's Seminar on Mathematical Physics written by Michael Semenov-Tian-Shansky and published by American Mathematical Soc.. This book was released on 2000 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Juan Miguel Nieto
Publisher : Springer
ISBN 13 : 3319960202
Total Pages : 187 pages
Book Rating : 4.03/5 ( download)

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Download or read book Spinning Strings and Correlation Functions in the AdS/CFT Correspondence written by Juan Miguel Nieto and published by Springer. This book was released on 2018-07-21 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : David H. Sattinger
Publisher : American Mathematical Soc.
ISBN 13 : 0821851292
Total Pages : 150 pages
Book Rating : 4.96/5 ( download)

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Download or read book Inverse Scattering and Applications written by David H. Sattinger and published by American Mathematical Soc.. This book was released on 1991 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Vladimir Dobrev
Publisher : Springer
ISBN 13 : 4431552855
Total Pages : 554 pages
Book Rating : 4.57/5 ( download)

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Download or read book Lie Theory and Its Applications in Physics written by Vladimir Dobrev and published by Springer. This book was released on 2015-01-26 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e., representation theory, algebraic geometry, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear PDE, special functions, and others. Furthermore, the necessary tools from functional analysis and number theory are included. This is a big interdisciplinary and interrelated field. Samples of these fresh trends are presented in this volume, based on contributions from the Workshop "Lie Theory and Its Applications in Physics" held near Varna (Bulgaria) in June 2013. This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists and researchers in the field of Lie Theory.

Author : Vincent Rivasseau
Publisher : Springer Science & Business Media
ISBN 13 : 3764385227
Total Pages : 228 pages
Book Rating : 4.24/5 ( download)

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Download or read book Quantum Spaces written by Vincent Rivasseau and published by Springer Science & Business Media. This book was released on 2007-12-22 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Nikita Slavnov
Publisher : World Scientific
ISBN 13 : 9811254273
Total Pages : 399 pages
Book Rating : 4.77/5 ( download)

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Download or read book Algebraic Bethe Ansatz And Correlation Functions: An Advanced Course written by Nikita Slavnov and published by World Scientific. This book was released on 2022-05-12 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Guillaume Lang
Publisher : Springer
ISBN 13 : 3030052850
Total Pages : 193 pages
Book Rating : 4.50/5 ( download)

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Download or read book Correlations in Low-Dimensional Quantum Gases written by Guillaume Lang and published by Springer. This book was released on 2018-12-29 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book addresses several aspects of thermodynamics and correlations in the strongly-interacting regime of one-dimensional bosons, a topic at the forefront of current theoretical and experimental studies. Strongly correlated systems of one-dimensional bosons have a long history of theoretical study. Their experimental realisation in ultracold atom experiments is the subject of current research, which took off in the early 2000s. Yet these experiments raise new theoretical questions, just begging to be answered. Correlation functions are readily available for experimental measurements. In this book, they are tackled by means of sophisticated theoretical methods developed in condensed matter physics and mathematical physics, such as bosonization, the Bethe Ansatz and conformal field theory. Readers are introduced to these techniques, which are subsequently used to investigate many-body static and dynamical correlation functions.

Author : Bazhanov Vladimir V
Publisher : World Scientific
ISBN 13 : 9814548731
Total Pages : 472 pages
Book Rating : 4.31/5 ( download)

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Download or read book Statistical Mechanics And Field Theory - Proceedings Of The Seventh Physics Summer School written by Bazhanov Vladimir V and published by World Scientific. This book was released on 1995-12-21 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume aims to expose graduate students to the basic ideas of field theory and statistical mechanics and to give them an understanding and appreciation of current topical research.

Author : Barber Michael N
Publisher : #N/A
ISBN 13 : 981469682X
Total Pages : 426 pages
Book Rating : 4.21/5 ( download)

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Download or read book Yang-baxter Equations, Conformal Invariance And Integrability In Statistical Mechanics And Field Theory - Proceedings Of A Conference written by Barber Michael N and published by #N/A. This book was released on 1990-05-01 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: