Geodesic
On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 269-281

Voir la notice de l'article provenant de la source Math-Net.Ru

For the energy operator of a system of three one-dimensional or two-dimeasional quantum particles conditions are found under which the discrete spectrum is finite in spaces of functions of given symmetry. It follows from the obtained results in particular that the Efimov effect is absent for the considered systems. 
@article{TMF_1983_55_2_a10,
     author = {S. A. Vugal'ter and G. M. Zhislin},
     title = {On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {269--281},
     publisher = {mathdoc},
     volume = {55},
     number = {2},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a10/}
}
TY  - JOUR
AU  - S. A. Vugal'ter
AU  - G. M. Zhislin
TI  - On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 269
EP  - 281
VL  - 55
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a10/
LA  - ru
ID  - TMF_1983_55_2_a10
ER  - 
%0 Journal Article
%A S. A. Vugal'ter
%A G. M. Zhislin
%T On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 269-281
%V 55
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a10/
%G ru
%F TMF_1983_55_2_a10
S. A. Vugal'ter; G. M. Zhislin. On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 269-281. http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a10/