Spectrum and eigenfunctions of the transfer matrix of a~two-dimensional Gaussian model
    
    
  
  
  
      
      
      
        
Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 2, pp. 259-267
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			For a Gaussian model on a two-dimensional lattice a family of commuting transfer matrices is constructed. The spectrum and eigenfunctions of a transfer matrix are found. The unitarity relation for the transfer matrix is satisfied on a finite lattice up to a numerical factor which tends to unity in the limit of an infinite lattice. The transfer matrix leads to a local Hamiltonian of a free massive scalar field.
			
            
            
            
          
        
      @article{TMF_1982_51_2_a11,
     author = {H. M. Babujian and M. G. Tetel'man},
     title = {Spectrum and eigenfunctions of the transfer matrix of a~two-dimensional {Gaussian} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {259--267},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a11/}
}
                      
                      
                    TY - JOUR AU - H. M. Babujian AU - M. G. Tetel'man TI - Spectrum and eigenfunctions of the transfer matrix of a~two-dimensional Gaussian model JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1982 SP - 259 EP - 267 VL - 51 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a11/ LA - ru ID - TMF_1982_51_2_a11 ER -
%0 Journal Article %A H. M. Babujian %A M. G. Tetel'man %T Spectrum and eigenfunctions of the transfer matrix of a~two-dimensional Gaussian model %J Teoretičeskaâ i matematičeskaâ fizika %D 1982 %P 259-267 %V 51 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a11/ %G ru %F TMF_1982_51_2_a11
H. M. Babujian; M. G. Tetel'man. Spectrum and eigenfunctions of the transfer matrix of a~two-dimensional Gaussian model. Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 2, pp. 259-267. http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a11/
