New Trends in Quantum Integrable Systems

New Trends in Quantum Integrable Systems
Author: Boris Feigin
Publisher: World Scientific
Total Pages: 517
Release: 2010-10-29
Genre: Mathematics
ISBN: 9814324361

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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.

New Trends In Quantum Integrable Systems - Proceedings Of The Infinite Analysis 09

New Trends In Quantum Integrable Systems - Proceedings Of The Infinite Analysis 09
Author: Boris Feigin
Publisher: World Scientific
Total Pages: 517
Release: 2010-10-29
Genre: Mathematics
ISBN: 9814462926

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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 can learn about the most recent developments in the field of quantum integrable systems and related areas of mathematical physics.

Quantum Integrable Systems

Quantum Integrable Systems
Author: Asesh Roy Chowdhury
Publisher: CRC Press
Total Pages: 425
Release: 2004-01-28
Genre: Science
ISBN: 0203498011

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The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despite the field now having reached a level of maturity, very few books provide an introduction to the field accessible to specialists and nonspecialists alike, and none offer a systematic survey of the m

New Trends in Quantum Integrable Systems - Proceedings of the Infinite Analysis 09

New Trends in Quantum Integrable Systems - Proceedings of the Infinite Analysis 09
Author: Boris Feigin
Publisher:
Total Pages:
Release: 2010
Genre:
ISBN:

Download New Trends in Quantum Integrable Systems - Proceedings of the Infinite Analysis 09 Book in PDF, Epub and Kindle

Annotation. 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 can learn about the most recent developments in the field of quantum integrable systems and related areas of mathematical physics.

Trends in Quantum Computing Research

Trends in Quantum Computing Research
Author: Susan Shannon
Publisher: Nova Publishers
Total Pages: 264
Release: 2006
Genre: Computers
ISBN: 9781594548406

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Quantum information processing is an exciting new emergent and interdisciplinary field. It combines questions of national security (When will today's public key cryptography be broken?) to questions of fundamental science (What are the fundamental limits to information processing?). It has thrived through the collaboration between the computer, engineering, mathematical and physical sciences. It is a field that is challenging our understanding of information, communication, computation, and of the fundamental laws of nature. This book brings together leading research in the field.

New Trends in Integrability and Partial Solvability

New Trends in Integrability and Partial Solvability
Author: A.B. Shabat
Publisher: Springer Science & Business Media
Total Pages: 302
Release: 2012-12-06
Genre: Science
ISBN: 9400710232

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Proceedings of the NATO Advanced Research Workshop, held in Cadiz, Spain, from 12 to 16 June 2002

New Trends in Quantum Integrable Systems

New Trends in Quantum Integrable Systems
Author: Michio Jimbo
Publisher:
Total Pages: 400
Release: 2010-10-29
Genre: Mathematics
ISBN: 9789814324373

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Properties of linear integral equations related to the six-vertex model with disorder parameter / Hermann Boos and Frank Gohmann -- Algebraic aspects of the correlation functions of the integrable higher-spin XXZ spin chains with arbitrary entries / Tetsuo Deguchi and Chihiro Matsui -- Characters of coinvariants in (1,p) logarithmic models / Boris L. Feigin and Ilya Yu. Tipunin -- XXZ scalar products, Miwa variables and discrete KP / Omar Foda and Gus Schrader -- Quantum spin chains at finite temperatures / Frank Gohmann and Junji Suzuki -- Tropical spectral curves, Fay's trisecant identity, and generalized ultradiscrete Toda lattice / Rei Inoue and Shinsuke Iwao -- On one-point functions of descendants in sine-Gordon model / Michio Jimbo, Tetsuji Miwa and Fedor Smirnov -- Perfect crystals for the quantum affine algebra U[symbol] / Seok-Jin Kang [und weitere] -- Boundary quantum Knizhnik-Zamolodchikov equation / Masahiro Kasatani -- A pentagon of identities, graded tensor products, and the Kirillov-Reshetikhin conjecture / Rinat Kedem -- TBA for the Toda chain / Karol Kajetan Kozlowski and Jorg Teschner -- Generalized energies and integrable D[symbol] cellular automaton / Atsuo Kuniba, Reiho Sakamoto and Yasuhiko Yamada -- Dyson's constant for the hypergeometric kernel / Oleg Lisovyy -- Representation theory of a small ramified partition algebra / Paul P. Martin -- The saga of the Ising susceptibility / Barry M. McCoy -- Bethe algebra of the [symbol] Gaudin model and algebra of functions on the critical set of the master function / Evgeny Mukhin, Vitaly Tarasov and Alexander Varchenko -- T-systems, Y-systems, and cluster algebras : Tamely laced case / Tomoki Nakanishi -- Periodic Benjamin-Ono equation with discrete Laplacian and 2D-Toda hierarchy / Jun'ichi Shiraishi and Yohei Tutiya -- KP and Toda tau functions in Bethe ansatz / Kanehisa Takasaki -- Introduction to middle convolution for differential equations with irregular singularities / Kouichi Takemura -- Differential equations compatible with boundary rational qKZ equation / Yoshihiro Takeyama -- Classification of solutions to the reflection equation for the critical Z[symbol]-symmetric vertex model I / Yuji Yamada

Quantum Systems: New Trends And Methods - Proceedings Of The International Workshop

Quantum Systems: New Trends And Methods - Proceedings Of The International Workshop
Author: Young Suh Kim
Publisher: World Scientific
Total Pages: 382
Release: 1997-04-11
Genre:
ISBN: 9814546445

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The purpose of the workshop is to discuss both local and global geometrical and topological effects in quantum systems, in the context of the new methods of investigation. The main topics are: non-perturbative methods in quantum theory; geometrical and topological effects in quantum dynamics; group-theoretical and algebraic methods in the theory of quantum systems; quantum systems in external fields and curved spaces; new results: from subnuclear physics to cosmology.

Integrable Systems And Quantum Groups

Integrable Systems And Quantum Groups
Author: Mauro Carfora
Publisher: World Scientific
Total Pages: 194
Release: 1992-04-30
Genre:
ISBN: 9814554766

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This volume contains lectures on recent advances in the theory of integrable systems and quantum groups. It introduces the reader to attractive areas of current research.

Elements of Classical and Quantum Integrable Systems

Elements of Classical and Quantum Integrable Systems
Author: Gleb Arutyunov
Publisher: Springer
Total Pages: 414
Release: 2019-07-23
Genre: Science
ISBN: 303024198X

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Integrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion. Nowadays it is well recognised that integrable systems play a ubiquitous role in many research areas ranging from quantum field theory, string theory, solvable models of statistical mechanics, black hole physics, quantum chaos and the AdS/CFT correspondence, to pure mathematics, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite-dimensional integrable models, this book covers the basic concepts of integrability including elements of the modern geometric approach based on Poisson reduction, classical and quantum factorised scattering and various incarnations of the Bethe Ansatz. Applications of integrability methods are illustrated in vast detail on the concrete examples of the Calogero-Moser-Sutherland and Ruijsenaars-Schneider models, the Heisenberg spin chain and the one-dimensional Bose gas interacting via a delta-function potential. This book has intermediate and advanced topics with details to make them clearly comprehensible.