New Trends In Quantum Integrable Systems

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New Trends in Quantum Integrable Systems

Author : Boris Feigin
Publisher : World Scientific
ISBN 13 : 9814324361
Total Pages : 517 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis New Trends in Quantum Integrable Systems by : Boris Feigin

Download or read book New Trends in Quantum Integrable Systems written by Boris Feigin and published by World Scientific. This book was released on 2010-10-29 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Boris Feigin
Publisher : World Scientific
ISBN 13 : 9814462926
Total Pages : 517 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis New Trends In Quantum Integrable Systems - Proceedings Of The Infinite Analysis 09 by : Boris Feigin

Download or read book New Trends In Quantum Integrable Systems - Proceedings Of The Infinite Analysis 09 written by Boris Feigin and published by World Scientific. This book was released on 2010-10-29 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

Author : Boris Feigin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (847 download)

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Book Synopsis New Trends in Quantum Integrable Systems - Proceedings of the Infinite Analysis 09 by : Boris Feigin

Download or read book New Trends in Quantum Integrable Systems - Proceedings of the Infinite Analysis 09 written by Boris Feigin and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Trends in Quantum Integrable Systems

Author : Michio Jimbo
Publisher :
ISBN 13 : 9789814324373
Total Pages : 400 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis New Trends in Quantum Integrable Systems by : Michio Jimbo

Download or read book New Trends in Quantum Integrable Systems written by Michio Jimbo and published by . This book was released on 2010-10-29 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Integrable Systems

Author : Asesh Roy Chowdhury
Publisher : CRC Press
ISBN 13 : 0203498011
Total Pages : 425 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Quantum Integrable Systems by : Asesh Roy Chowdhury

Download or read book Quantum Integrable Systems written by Asesh Roy Chowdhury and published by CRC Press. This book was released on 2004-01-28 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Integrability and Partial Solvability

Author : A.B. Shabat
Publisher : Springer Science & Business Media
ISBN 13 : 9400710232
Total Pages : 302 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis New Trends in Integrability and Partial Solvability by : A.B. Shabat

Download or read book New Trends in Integrability and Partial Solvability written by A.B. Shabat and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop, held in Cadiz, Spain, from 12 to 16 June 2002

Symmetries, Integrable Systems and Representations

Author : Kenji Iohara
Publisher : Springer Science & Business Media
ISBN 13 : 1447148630
Total Pages : 633 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Symmetries, Integrable Systems and Representations by : Kenji Iohara

Download or read book Symmetries, Integrable Systems and Representations written by Kenji Iohara and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the result of two international workshops; Infinite Analysis 11 – Frontier of Integrability – held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems and Representations held at Université Claude Bernard Lyon 1, France in December 13th to 16th, 2011. Included are research articles based on the talks presented at the workshops, latest results obtained thereafter, and some review articles. The subjects discussed range across diverse areas such as algebraic geometry, combinatorics, differential equations, integrable systems, representation theory, solvable lattice models and special functions. Through these topics, the reader will find some recent developments in the field of mathematical physics and their interactions with several other domains.

Infinite Dimensional Algebras and Quantum Integrable Systems

Author : Petr P. Kulish
Publisher : Springer Science & Business Media
ISBN 13 : 3764373415
Total Pages : 266 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Infinite Dimensional Algebras and Quantum Integrable Systems by : Petr P. Kulish

Download or read book Infinite Dimensional Algebras and Quantum Integrable Systems written by Petr P. Kulish and published by Springer Science & Business Media. This book was released on 2006-01-17 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the invited lectures of the workshop "Infinite Dimensional Algebras and Quantum Integrable Systems" held in July 2003 at the University of Algarve, Faro, Portugal, as a satellite workshop of the XIV International Congress on Mathematical Physics. In it, recent developments in the theory of infinite dimensional algebras, and their applications to quantum integrable systems, are reviewed by leading experts in the field.

Representation Theory, Mathematical Physics, and Integrable Systems

Author : Anton Alekseev
Publisher : Springer Nature
ISBN 13 : 3030781488
Total Pages : 652 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Representation Theory, Mathematical Physics, and Integrable Systems by : Anton Alekseev

Download or read book Representation Theory, Mathematical Physics, and Integrable Systems written by Anton Alekseev and published by Springer Nature. This book was released on 2022-02-05 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and physicists and pay tribute to his many significant and lasting achievements. Covering the latest developments at the interface of noncommutative algebra, differential and algebraic geometry, and perspectives arising from physics, this volume explores topics such as the development of new and powerful knot invariants, new perspectives on enumerative geometry and string theory, and the introduction of cluster algebra and categorification techniques into a broad range of areas. Chapters will also cover novel applications of representation theory to random matrix theory, exactly solvable models in statistical mechanics, and integrable hierarchies. The recent progress in the mathematical and physicals aspects of deformation quantization and tensor categories is also addressed. Representation Theory, Mathematical Physics, and Integrable Systems will be of interest to a wide audience of mathematicians interested in these areas and the connections between them, ranging from graduate students to junior, mid-career, and senior researchers.

Ludwig Faddeev Memorial Volume: A Life In Mathematical Physics

Author : Mo-lin Ge
Publisher : World Scientific
ISBN 13 : 9813233877
Total Pages : 634 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Ludwig Faddeev Memorial Volume: A Life In Mathematical Physics by : Mo-lin Ge

Download or read book Ludwig Faddeev Memorial Volume: A Life In Mathematical Physics written by Mo-lin Ge and published by World Scientific. This book was released on 2018-05-21 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ludwig Faddeev is widely recognized as one of the titans of 20th century mathematical physics. His fundamental contributions to scattering theory, quantum gauge theories, and the theory of classical and quantum completely integrable systems played a key role in shaping modern mathematical physics.Ludwig Faddeev's major achievements include the solution of the three-body problem in quantum mechanics, the mathematical formulation of quantum gauge theories and corresponding Feynman rules, Hamiltonian and algebraic methods in mathematical physics, with applications to gauge theories with anomalies, quantum systems with constraints and solitons, the discovery of the algebraic structure of classical and quantum integrable systems and quantum groups, and solitons with the topology of knots.Faddeev's name is imprinted in many areas of mathematics and theoretical physics, including 'Faddeev's equations' and 'Faddeev's Green function' in scattering theory, 'Faddeev-Popov ghosts' and 'Faddeev-Popov determinant' in gauge theories, 'Gardner-Faddeev-Zakharov bracket' for the KdV equation, 'Faddeev-Zamolodchikov algebra' in quantum integrable systems, 'Faddeev-Reshetikhin-Takhtajan construction' in the theory of quantum groups, knotted solitons in the 'Skyrme-Faddeev model' and many others.Ludwig Faddeev founded the St. Petersburg school of modern mathematical physics and distinguished himself by serving the mathematics community for over three decades including his leadership of the International Mathematical Union in the period of 1986-1990. He was conferred numerous prizes and memberships of prestigious institutions in recognition of the importance of his work. These include the Dannie Heineman Prize for Mathematical Physics, the Dirac Medal, the Max Planck Medal, the Shaw Prize and the Lomonosov Gold Medal among others.A gathering of contributions from some of the biggest names in mathematics and physics, this volume serves as a tribute to this legendary figure. Volume contributors include: Fields medalist Sir Michael Atiyah, Jürg Fröhlich, Roman Jackiw, Vladimir Korepin, Nikita Nekrasov, André Neveu, Alexander M Polyakov, Samson Shatashvili, Fedor Smirnov as well as Nobel laureates Frank Wilczek and C N Yang.

Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 2, Multivariable Special Functions

Author : Tom H. Koornwinder
Publisher : Cambridge University Press
ISBN 13 : 1108916554
Total Pages : 442 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 2, Multivariable Special Functions by : Tom H. Koornwinder

Download or read book Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 2, Multivariable Special Functions written by Tom H. Koornwinder and published by Cambridge University Press. This book was released on 2020-10-15 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume 2 covers multivariable special functions. When the Bateman project appeared, study of these was in an early stage, but revolutionary developments began to be made in the 1980s and have continued ever since. World-renowned experts survey these over the course of 12 chapters, each containing an extensive bibliography. The reader encounters different perspectives on a wide range of topics, from Dunkl theory, to Macdonald theory, to the various deep generalizations of classical hypergeometric functions to the several variables case, including the elliptic level. Particular attention is paid to the close relation of the subject with Lie theory, geometry, mathematical physics and combinatorics.

Algebraic Bethe Ansatz And Correlation Functions: An Advanced Course

Author : Nikita Slavnov
Publisher : World Scientific
ISBN 13 : 9811254273
Total Pages : 399 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Algebraic Bethe Ansatz And Correlation Functions: An Advanced Course by : Nikita Slavnov

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.

Advanced Topics in Quantum Mechanics

Author : Marcos Mariño
Publisher : Cambridge University Press
ISBN 13 : 1108495877
Total Pages : 273 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Advanced Topics in Quantum Mechanics by : Marcos Mariño

Download or read book Advanced Topics in Quantum Mechanics written by Marcos Mariño and published by Cambridge University Press. This book was released on 2021-12-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced quantum mechanics textbook that provides a unique pedagogical introduction to high-level topics in the field.

Trends in Quantum Computing Research

Author : Susan Shannon
Publisher : Nova Publishers
ISBN 13 : 9781594548406
Total Pages : 264 pages
Book Rating : 4.5/5 (484 download)

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Book Synopsis Trends in Quantum Computing Research by : Susan Shannon

Download or read book Trends in Quantum Computing Research written by Susan Shannon and published by Nova Publishers. This book was released on 2006 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Asymptotic Expansion of a Partition Function Related to the Sinh-model

Author : Gaëtan Borot
Publisher : Springer
ISBN 13 : 3319333798
Total Pages : 233 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Asymptotic Expansion of a Partition Function Related to the Sinh-model by : Gaëtan Borot

Download or read book Asymptotic Expansion of a Partition Function Related to the Sinh-model written by Gaëtan Borot and published by Springer. This book was released on 2016-12-08 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greater generality. The core aims at proving an expansion up to o(1) for the logarithm of the partition function of the sinh-model. This is achieved by a combination of potential theory and large deviation theory so as to grasp the leading asymptotics described by an equilibrium measure, the Riemann-Hilbert approach to truncated Wiener-Hopf in order to analyse the equilibrium measure, the Schwinger-Dyson equations and the boostrap method to finally obtain an expansion of correlation functions and the one of the partition function. This book is addressed to researchers working in random matrices, statistical physics or integrable systems, or interested in recent developments of asymptotic analysis in those fields.

Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers

Author : Kenji Iohara
Publisher : Springer Nature
ISBN 13 : 3030264548
Total Pages : 375 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers by : Kenji Iohara

Download or read book Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers written by Kenji Iohara and published by Springer Nature. This book was released on 2020-02-20 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Gröbner bases) and geometry (via quiver theory). Gröbner bases serve as effective models for computation in algebras of various types. Although the theory of Gröbner bases was developed in the second half of the 20th century, many works on computational methods in algebra were published well before the introduction of the modern algebraic language. Since then, new algorithms have been developed and the theory itself has greatly expanded. In comparison, diagrammatic methods in representation theory are relatively new, with the quiver varieties only being introduced – with big impact – in the 1990s. Divided into two parts, the book first discusses the theory of Gröbner bases in their commutative and noncommutative contexts, with a focus on algorithmic aspects and applications of Gröbner bases to analysis on systems of partial differential equations, effective analysis on rings of differential operators, and homological algebra. It then introduces representations of quivers, quiver varieties and their applications to the moduli spaces of meromorphic connections on the complex projective line. While no particular reader background is assumed, the book is intended for graduate students in mathematics, engineering and related fields, as well as researchers and scholars.

Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory

Author : Vyjayanthi Chari
Publisher : American Mathematical Soc.
ISBN 13 : 0821890379
Total Pages : 222 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory by : Vyjayanthi Chari

Download or read book Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory written by Vyjayanthi Chari and published by American Mathematical Soc.. This book was released on 2013-11-25 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, held August 12-16, 2010, at the National Institute of Advanced Studies, Bangalore, India, and the follow-up conference held May 18-20, 2012, at the University of California, USA. It contains original research and survey articles on various topics in the theory of representations of Lie algebras, quantum groups and algebraic groups, including crystal bases, categorification, toroidal algebras and their generalisations, vertex algebras, Hecke algebras, Kazhdan-Lusztig bases, $q$-Schur algebras, and Weyl algebras.