Hardcover ISBN:  9780821821336 
Product Code:  TRANS2/201 
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Electronic ISBN:  9781470434120 
Product Code:  TRANS2/201.E 
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Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 201; 2000; 321 ppMSC: Primary 00; 37; 17; 53; 35; Secondary 81;
Professor L. D. Faddeev's seminar at Steklov Mathematical Institute (St. Petersburg, Russia) has a record of more than 30 years of intensive work which has helped to shape 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, uptodate resource on the topic.ReadershipGraduate students and research mathematicians and mathematical physicists interested in integrable systems, quantum groups and string theory; theoretical physicists.

Table of Contents

Cover

Frontispiece

Title page

Copyright page

Contents

Some personal historic notes on our seminar

An elementary derivation of certain classical dynamical 𝑟matrices

Incidence matrix description of intersecting 𝑝brane solutions

A discrete time Lagrange top and discrete elastic curves

The GelfandLevitanMarchenko equation and the longtime asymptotics of the solutions of the nonlinear Schrödinger equation

From the tetrahedron equation to universal 𝑅matrices

On some quadratic algebras

Quantum inverse scattering method and correlation functions

Testing SeibergWitten solution

Drinfeld twists and algebraic Bethe ansatz

Darboux transformations, covariance theorems and integrable systems

Generalized 𝑞deformed GelfandDickey structures on the group of 𝑞pseudodifference operators

On time evolutions associated with the nonstationary Schrödinger equation

Deformation quantization of Kähler manifolds

Canonicity of Bäcklund transformation: 𝑟matrix approach. I

Quasiclassical study of form factors in finite volume

Completeness of the hypergeometric solutions of the 𝑞𝐾𝑍 equation at level zero

Back Cover


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Professor L. D. Faddeev's seminar at Steklov Mathematical Institute (St. Petersburg, Russia) has a record of more than 30 years of intensive work which has helped to shape 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, uptodate resource on the topic.
Graduate students and research mathematicians and mathematical physicists interested in integrable systems, quantum groups and string theory; theoretical physicists.

Cover

Frontispiece

Title page

Copyright page

Contents

Some personal historic notes on our seminar

An elementary derivation of certain classical dynamical 𝑟matrices

Incidence matrix description of intersecting 𝑝brane solutions

A discrete time Lagrange top and discrete elastic curves

The GelfandLevitanMarchenko equation and the longtime asymptotics of the solutions of the nonlinear Schrödinger equation

From the tetrahedron equation to universal 𝑅matrices

On some quadratic algebras

Quantum inverse scattering method and correlation functions

Testing SeibergWitten solution

Drinfeld twists and algebraic Bethe ansatz

Darboux transformations, covariance theorems and integrable systems

Generalized 𝑞deformed GelfandDickey structures on the group of 𝑞pseudodifference operators

On time evolutions associated with the nonstationary Schrödinger equation

Deformation quantization of Kähler manifolds

Canonicity of Bäcklund transformation: 𝑟matrix approach. I

Quasiclassical study of form factors in finite volume

Completeness of the hypergeometric solutions of the 𝑞𝐾𝑍 equation at level zero

Back Cover