Uniformization method in the theory of Nonlinear Hamiltonian systems of Vlasov and Hartree type
    
    
  
  
  
      
      
      
        
Teoretičeskaâ i matematičeskaâ fizika, Tome 33 (1977) no. 1, pp. 17-31
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			Possibilities of obtaining the approximate solutions to the equations of the Hartree
type from the known solutions of the uniformized linear equations are investigated.
Nonlinear hamiltonian systems described by abstract equations of the Vlassov and
Hartree type are considered by means of algebraic methods. New notion of the “unif ormization”
 is introduced which represents the generalization of the second quantization
method for arbitrary Hamiltonian (Lie–Jordan) algebras, in particular, for operator
algebras in indefinite spaces. Functional calculus of uniformized observables is developed,
extending and unifying the calculus of generating functionals of commuting;
and anticommuting variables for even operators.
			
            
            
            
          
        
      @article{TMF_1977_33_1_a1,
     author = {V. P. Belavkin and V. P. Maslov},
     title = {Uniformization method in the theory of {Nonlinear} {Hamiltonian} systems of {Vlasov} and {Hartree} type},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {17--31},
     publisher = {mathdoc},
     volume = {33},
     number = {1},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_33_1_a1/}
}
                      
                      
                    TY - JOUR AU - V. P. Belavkin AU - V. P. Maslov TI - Uniformization method in the theory of Nonlinear Hamiltonian systems of Vlasov and Hartree type JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1977 SP - 17 EP - 31 VL - 33 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1977_33_1_a1/ LA - ru ID - TMF_1977_33_1_a1 ER -
%0 Journal Article %A V. P. Belavkin %A V. P. Maslov %T Uniformization method in the theory of Nonlinear Hamiltonian systems of Vlasov and Hartree type %J Teoretičeskaâ i matematičeskaâ fizika %D 1977 %P 17-31 %V 33 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1977_33_1_a1/ %G ru %F TMF_1977_33_1_a1
V. P. Belavkin; V. P. Maslov. Uniformization method in the theory of Nonlinear Hamiltonian systems of Vlasov and Hartree type. Teoretičeskaâ i matematičeskaâ fizika, Tome 33 (1977) no. 1, pp. 17-31. http://geodesic.mathdoc.fr/item/TMF_1977_33_1_a1/
