Geodesic
Finiteness of the Discrete Spectrum of the Hamiltonian of a System of Three Arbitrary Particles on a Lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 3, pp. 415-431

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

We prove that the number of bound states for the Hamiltonian of a system of three arbitrary particles interacting through pairwise attraction potentials on a three-dimensional lattice is finite in the cases where (1) none of the two-particle subsystems has a virtual level and (2) only one of the two-particle subsystems has a virtual level. 
@article{TMF_2001_129_3_a4,
     author = {S. N. Lakaev and S. M. Samatov},
     title = {Finiteness of the {Discrete} {Spectrum} of the {Hamiltonian} of a {System} of {Three} {Arbitrary} {Particles} on a {Lattice}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {415--431},
     publisher = {mathdoc},
     volume = {129},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_129_3_a4/}
}
TY  - JOUR
AU  - S. N. Lakaev
AU  - S. M. Samatov
TI  - Finiteness of the Discrete Spectrum of the Hamiltonian of a System of Three Arbitrary Particles on a Lattice
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2001
SP  - 415
EP  - 431
VL  - 129
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2001_129_3_a4/
LA  - ru
ID  - TMF_2001_129_3_a4
ER  - 
%0 Journal Article
%A S. N. Lakaev
%A S. M. Samatov
%T Finiteness of the Discrete Spectrum of the Hamiltonian of a System of Three Arbitrary Particles on a Lattice
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2001
%P 415-431
%V 129
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2001_129_3_a4/
%G ru
%F TMF_2001_129_3_a4
S. N. Lakaev; S. M. Samatov. Finiteness of the Discrete Spectrum of the Hamiltonian of a System of Three Arbitrary Particles on a Lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 3, pp. 415-431. http://geodesic.mathdoc.fr/item/TMF_2001_129_3_a4/