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  - 
%0 Journal Article
%A S. A. Vugal'ter
%T Absence of discrete spectrum of the Schr\"odinger operators of positive molecular ions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1992
%P 94-106
%V 93
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1992_93_1_a7/
%G ru
%F TMF_1992_93_1_a7
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/