AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
L. D. Faddeev’s Seminar on Mathematical Physics
About this Title
Michael Semenov-Tian-Shansky, Steklov Mathematical Institute, St. Petersburg, Russia, Editor
Publication: American Mathematical Society Translations: Series 2
Publication Year:
2000; Volume 201
ISBNs: 978-0-8218-2133-6 (print); 978-1-4704-3412-0 (online)
DOI: https://doi.org/10.1090/trans2/201
MathSciNet review: MR1772280
MSC: Primary 00B15; Secondary 37-06, 81-06
Table of Contents
Download chapters as PDF
Front/Back Matter
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