Few-body problem in the boundary condition model and quasipotentials
Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 3, pp. 435-447

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

The boundary condition model is reformulated in terms of singular quasipotentials. In the three-body problem, Fredholm integral equations are constructed for the densities of simple and double layers concentrated on a noncompact surface with edges. Differential equations augmented with two-sided boundary conditions are formulated for the Faddeev and Faddeev–Yakubovskii components of the wave functions of three- and four-body systems.
@article{TMF_1993_94_3_a8,
     author = {S. P. Merkur'ev and A. K. Motovilov and S. D. Yakovlev},
     title = {Few-body problem in the boundary condition model and quasipotentials},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {435--447},
     publisher = {mathdoc},
     volume = {94},
     number = {3},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_94_3_a8/}
}
TY  - JOUR
AU  - S. P. Merkur'ev
AU  - A. K. Motovilov
AU  - S. D. Yakovlev
TI  - Few-body problem in the boundary condition model and quasipotentials
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1993
SP  - 435
EP  - 447
VL  - 94
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1993_94_3_a8/
LA  - ru
ID  - TMF_1993_94_3_a8
ER  - 
%0 Journal Article
%A S. P. Merkur'ev
%A A. K. Motovilov
%A S. D. Yakovlev
%T Few-body problem in the boundary condition model and quasipotentials
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1993
%P 435-447
%V 94
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1993_94_3_a8/
%G ru
%F TMF_1993_94_3_a8
S. P. Merkur'ev; A. K. Motovilov; S. D. Yakovlev. Few-body problem in the boundary condition model and quasipotentials. Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 3, pp. 435-447. http://geodesic.mathdoc.fr/item/TMF_1993_94_3_a8/