Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics~III: precise classification of irreducible intertwining operators
    
    
  
  
  
      
      
      
        
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 21, Tome 374 (2010), pp. 213-249
    
  
  
  
  
  
    
      
      
        
      
      
      
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              			The detailed classification of intertwining operators of the first order and of really irreducible intertwining operators of the second order of the I, II and III types is presented in this part of the work. This classification is constructed in dependence of kernels structures of these operators and relations between spectra of intertwined Hamiltonians. It was shown earlier that one can construct from such operators any intertwining operator of arbitrary order with the help of chain (ladder) construction. Bibl. – 25 titles.
			
            
            
            
          
        
      @article{ZNSL_2010_374_a11,
     author = {A. V. Sokolov},
     title = {Factorization of nonlinear supersymmetry in one-dimensional {Quantum} {Mechanics~III:} precise classification of irreducible intertwining operators},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {213--249},
     publisher = {mathdoc},
     volume = {374},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_374_a11/}
}
                      
                      
                    TY - JOUR AU - A. V. Sokolov TI - Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics~III: precise classification of irreducible intertwining operators JO - Zapiski Nauchnykh Seminarov POMI PY - 2010 SP - 213 EP - 249 VL - 374 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2010_374_a11/ LA - ru ID - ZNSL_2010_374_a11 ER -
%0 Journal Article %A A. V. Sokolov %T Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics~III: precise classification of irreducible intertwining operators %J Zapiski Nauchnykh Seminarov POMI %D 2010 %P 213-249 %V 374 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2010_374_a11/ %G ru %F ZNSL_2010_374_a11
A. V. Sokolov. Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics~III: precise classification of irreducible intertwining operators. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 21, Tome 374 (2010), pp. 213-249. http://geodesic.mathdoc.fr/item/ZNSL_2010_374_a11/