| eBook ISBN: | 978-1-4704-3412-0 |
| Product Code: | TRANS2/201.E |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-3412-0 |
| Product Code: | TRANS2/201.E |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
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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, up-to-date resource on the topic.
ReadershipGraduate students and research mathematicians and mathematical physicists interested in integrable systems, quantum groups and string theory; theoretical physicists.
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Table of Contents
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Chapters
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M. A. Semenov-Tian-Shansky — Some personal historic notes on our seminar
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A. Alekseev and E. Meinrenken — An elementary derivation of certain classical dynamical $r$-matrices
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I. Ya. Aref′eva and O. A. Rytchkov — Incidence matrix description of intersecting $p$-brane solutions
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A. I. Bobenko and Yu. B. Suris — A discrete time Lagrange top and discrete elastic curves
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A. M. Budylin and V. S. Buslaev — The Gelfand-Levitan-Marchenko equation and the long-time asymptotics of the solutions of the nonlinear Schrödinger equation
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R. M. Kashaev and A. Yu. Volkov — From the tetrahedron equation to universal $R$-matrices
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A. N. Kirillov — On some quadratic algebras
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V. Korepin and N. Slavnov — Quantum inverse scattering method and correlation functions
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A. Losev, N. Nekrasov and S. Shatashvili — Testing Seiberg-Witten solution
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J. M. Maillet and J. Sanchez de Santos — Drinfeld twists and algebraic Bethe ansatz
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V. B. Matveev — Darboux transformations, covariance theorems and integrable systems
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A. L. Pirozerski and M. A. Semenov-Tian-Shansky — Generalized $q$-deformed Gelfand-Dickey structures on the group of $q$-pseudodifference operators
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A. K. Pogrebkov — On time evolutions associated with the nonstationary Schrödinger equation
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N. Reshetikhin and L. A. Takhtajan — Deformation quantization of Kähler manifolds
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E. K. Sklyanin — Canonicity of Bäcklund transformation: $r$-matrix approach. I
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F. A. Smirnov — Quasi-classical study of form factors in finite volume
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V. Tarasov — Completeness of the hypergeometric solutions of the $qKZ$ equation at level zero
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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, up-to-date resource on the topic.
Graduate students and research mathematicians and mathematical physicists interested in integrable systems, quantum groups and string theory; theoretical physicists.
-
Chapters
-
M. A. Semenov-Tian-Shansky — Some personal historic notes on our seminar
-
A. Alekseev and E. Meinrenken — An elementary derivation of certain classical dynamical $r$-matrices
-
I. Ya. Aref′eva and O. A. Rytchkov — Incidence matrix description of intersecting $p$-brane solutions
-
A. I. Bobenko and Yu. B. Suris — A discrete time Lagrange top and discrete elastic curves
-
A. M. Budylin and V. S. Buslaev — The Gelfand-Levitan-Marchenko equation and the long-time asymptotics of the solutions of the nonlinear Schrödinger equation
-
R. M. Kashaev and A. Yu. Volkov — From the tetrahedron equation to universal $R$-matrices
-
A. N. Kirillov — On some quadratic algebras
-
V. Korepin and N. Slavnov — Quantum inverse scattering method and correlation functions
-
A. Losev, N. Nekrasov and S. Shatashvili — Testing Seiberg-Witten solution
-
J. M. Maillet and J. Sanchez de Santos — Drinfeld twists and algebraic Bethe ansatz
-
V. B. Matveev — Darboux transformations, covariance theorems and integrable systems
-
A. L. Pirozerski and M. A. Semenov-Tian-Shansky — Generalized $q$-deformed Gelfand-Dickey structures on the group of $q$-pseudodifference operators
-
A. K. Pogrebkov — On time evolutions associated with the nonstationary Schrödinger equation
-
N. Reshetikhin and L. A. Takhtajan — Deformation quantization of Kähler manifolds
-
E. K. Sklyanin — Canonicity of Bäcklund transformation: $r$-matrix approach. I
-
F. A. Smirnov — Quasi-classical study of form factors in finite volume
-
V. Tarasov — Completeness of the hypergeometric solutions of the $qKZ$ equation at level zero
