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This article is cited in 6 scientific papers (total in 6 papers)
Scientific heritage of L. D. Faddeev. Survey of papers
L. A. Takhtajanab, A. Yu. Alekseevc, I. Ya. Aref'evad, M. A. Semenov-Tian-Shanskyef, E. K. Sklyaning, F. A. Smirnovh, S. L. Shatashviliijkl 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.
Received: 28.08.2017
Citation:
L. A. Takhtajan, A. Yu. Alekseev, I. Ya. Aref'eva, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, S. L. Shatashvili, “Scientific heritage of L. D. Faddeev. Survey of papers”, Russian Math. Surveys, 72:6 (2017), 977–1081
Linking options:
https://www.mathnet.ru/eng/rm9799https://doi.org/10.1070/RM9799 https://www.mathnet.ru/eng/rm/v72/i6/p3
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Abstract page: | 1218 | Russian version PDF: | 298 | English version PDF: | 43 | References: | 104 | First page: | 117 |
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