Scientific heritage of L.\,D.~Faddeev. Survey of papers
    
    
  
  
  
      
      
      
        
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 72 (2017) no. 6, pp. 977-1081
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			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
Mots-clés : quantum anomalies.
                    
                  
                
                
                Mots-clés : quantum anomalies.
@article{RM_2017_72_6_a0,
     author = {L. A. Takhtajan and A. Yu. Alekseev and I. Ya. Aref'eva and M. A. Semenov-Tian-Shansky and E. K. Sklyanin and F. A. Smirnov and S. L. Shatashvili},
     title = {Scientific heritage of {L.\,D.~Faddeev.} {Survey} of papers},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {977--1081},
     publisher = {mathdoc},
     volume = {72},
     number = {6},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_2017_72_6_a0/}
}
                      
                      
                    TY - JOUR AU - L. A. Takhtajan AU - A. Yu. Alekseev AU - I. Ya. Aref'eva AU - M. A. Semenov-Tian-Shansky AU - E. K. Sklyanin AU - F. A. Smirnov AU - S. L. Shatashvili TI - Scientific heritage of L.\,D.~Faddeev. Survey of papers JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2017 SP - 977 EP - 1081 VL - 72 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/RM_2017_72_6_a0/ LA - en ID - RM_2017_72_6_a0 ER -
%0 Journal Article %A L. A. Takhtajan %A A. Yu. Alekseev %A I. Ya. Aref'eva %A M. A. Semenov-Tian-Shansky %A E. K. Sklyanin %A F. A. Smirnov %A S. L. Shatashvili %T Scientific heritage of L.\,D.~Faddeev. Survey of papers %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2017 %P 977-1081 %V 72 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/RM_2017_72_6_a0/ %G en %F RM_2017_72_6_a0
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. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 72 (2017) no. 6, pp. 977-1081. http://geodesic.mathdoc.fr/item/RM_2017_72_6_a0/