Scientific heritage of L. D. Faddeev. Survey of papers

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.

Mots clés

Schrodinger 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

Domaines

Physique mathématique [math-ph]

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https://hal.science/hal-01699516

Soumis le : vendredi 2 février 2018-14:19:32

Dernière modification le : lundi 16 septembre 2024-15:14:03

Dates et versions

hal-01699516 , version 1 (02-02-2018)

Identifiants

HAL Id : hal-01699516 , version 1
DOI : 10.1070/RM9799

Citer

Leon A. Takhtajan, Anton Yur'Evich Alekseev, Irina Yaroslavna Aref'Eva, Michael Semenov-Tian-Shansky, Evgeny Konstantinovich Sklyanin, et al.. Scientific heritage of L. D. Faddeev. Survey of papers. Russian Mathematical Surveys, 2017, 72 (6), pp.977-1081. ⟨10.1070/RM9799⟩. ⟨hal-01699516⟩

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