Geodesic
Three-body problems with $\delta$-functional potentials
Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 2, pp. 181-191

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

Possible realizations of three-particle singular Hamiltonians corresponding to $\delta$-functional two-body potentials are described. The scheme used to describe the singular potentials is essentially the same as Shirokov's [1, 2]. It is shown that besides the classical model [3, 4] it is possible to have other sensible realizations which go beyond the space of square integrable functions but still have a semibounded Hamiltonian. 
@article{TMF_1982_51_2_a3,
     author = {Yu. G. Shondin},
     title = {Three-body problems with $\delta$-functional potentials},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {181--191},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a3/}
}
TY  - JOUR
AU  - Yu. G. Shondin
TI  - Three-body problems with $\delta$-functional potentials
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1982
SP  - 181
EP  - 191
VL  - 51
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a3/
LA  - ru
ID  - TMF_1982_51_2_a3
ER  - 
%0 Journal Article
%A Yu. G. Shondin
%T Three-body problems with $\delta$-functional potentials
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1982
%P 181-191
%V 51
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a3/
%G ru
%F TMF_1982_51_2_a3
Yu. G. Shondin. Three-body problems with $\delta$-functional potentials. Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 2, pp. 181-191. http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a3/