Absence of discrete spectrum of the Schr\"odinger operators of positive molecular ions
    
    
  
  
  
      
      
      
        
Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 1, pp. 94-106
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			For multiatomic positive molecular ions with $N$ electrons and charges $Z_i$ of the nuclei it is shown that there are no bound states for $Z_i>\gamma N$ for some $\gamma$. It is also shown that the discrete spectrum of the Schrödinger operator of a molecular ion is empty if for at least some of the nuclei the condition $Z_i\gg N$ is satisfied, whereas the charges of the other nuclei can be small.
			
            
            
            
          
        
      @article{TMF_1992_93_1_a7,
     author = {S. A. Vugal'ter},
     title = {Absence of discrete spectrum of the {Schr\"odinger} operators of positive molecular ions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {94--106},
     publisher = {mathdoc},
     volume = {93},
     number = {1},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_93_1_a7/}
}
                      
                      
                    TY - JOUR AU - S. A. Vugal'ter TI - Absence of discrete spectrum of the Schr\"odinger operators of positive molecular ions JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1992 SP - 94 EP - 106 VL - 93 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1992_93_1_a7/ LA - ru ID - TMF_1992_93_1_a7 ER -
S. A. Vugal'ter. Absence of discrete spectrum of the Schr\"odinger operators of positive molecular ions. Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 1, pp. 94-106. http://geodesic.mathdoc.fr/item/TMF_1992_93_1_a7/
