This article is cited in
6 papers
Scientific heritage of L. D. Faddeev. Survey of papers L. A. Takhtajan ab ,
A. Yu. Alekseev c ,
I. Ya. Aref'eva d ,
M. A. Semenov-Tian-Shansky ef ,
E. K. Sklyanin g ,
F. A. Smirnov h ,
S. L. Shatashvili ijkl a L. Euler International Mathematical Institute b Stony Brook University, USA c University of Geneva, Switzerland d Steklov Mathematical Institute of Russian Academy of Sciences, Moscow e St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences f Institut de Mathématiques de Bourgogne, Université de Bourgogne, Dijon, France g University of York, York, UK h Sorbonne Université, UPMC Univ Paris 06, CNRS, UMR 7589, LPTHE i The Hamilton Mathematics Institute, The School of Mathematics, Trinity College Dublin, Ireland j Simons Center for Geometry and Physics, Stony Brook University, USA k Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France l Institute for Information Transmission Problems (A. A. Kharkevich Instutute) of the Russian Academy of Sciences, Laboratory no. 5 Abstract:
This survey was written by students of L. D. Faddeev under the editorship of L. A. Takhtajan.
Sections 1.1, 1.2, 2–4, and 6 were written by Takhtajan, §§ 1.3 and 1.4 by F. A. Smirnov, §§ 5.1 and 5.2 by E. K. Sklyanin, §§ 5.3–5.6 by Sklyanin, Smirnov, and Takhtajan, § 7.1 by M. A. Semenov-Tian-Shansky, §§ 7.2–7.6 by Takhtajan and S. L. Shatashvili, § 7.7 by A. Yu. Alekseev and Shatashvili, and § 8 by I. Ya. Aref'eva.
Bibliography: 130 titles.
Keywords:
Schrödinger operator, eigenfunction expansion, scattering theory, inverse scattering problem, Korteweg–de Vries equation, complete integrability, inverse scattering method, Yang–Baxter equation, quantum inverse problem method, algebraic Bethe ansatz, quantum groups, quantum dilogarithm, quantization of gauge fields, Faddeev–Popov ghosts, quantum anomalies.
UDC:
512.54 +517.84+
517.98
MSC: 01A70 ,
16T25 ,
17B37 ,
35J10 ,
35P25 ,
35Q53 ,
35Q55 ,
37K15 ,
58B32 ,
58J52 ,
70S15 ,
81-03 ,
81R50 ,
81S40 ,
81T10 ,
81T13 ,
81T50 ,
81T70 ,
81U40 ,
82B23 ,
82C23 Received: 28.08.2017
DOI:
10.4213/rm9799
© , 2024
Fulltext:
PDF file (1577 kB)
