Geodesic
Relativistic bound $s$-states problem for superposition of two potentials «$\delta$-sphere» type
Problemy fiziki, matematiki i tehniki, no. 2 (2017), pp. 15-19

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

The exact solutions of relativistic two-particle quasipotential type equations for bound states in the case of the potential «$\delta$-sphere» in the relativistic configuration representation and in the case of the superposition of two such potentials are considered. The signs of the coefficients in the $\delta$-potentials that allow the existence of bound states and the maximum possible number of this states are defined on the basis of the analysis of the energy quantization conditions.
Keywords: relativistic two-particle equation, relativistic configurational representation, delta-function potential, bound state, energy quantization condition. 
@article{PFMT_2017_2_a2,
     author = {Yu. A. Grishechkin and V. N. Kapshai and M. S. Danilchenko},
     title = {Relativistic bound $s$-states problem for superposition of two potentials {\guillemotleft}$\delta$-sphere{\guillemotright} type},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {15--19},
     publisher = {mathdoc},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2017_2_a2/}
}
TY  - JOUR
AU  - Yu. A. Grishechkin
AU  - V. N. Kapshai
AU  - M. S. Danilchenko
TI  - Relativistic bound $s$-states problem for superposition of two potentials «$\delta$-sphere» type
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2017
SP  - 15
EP  - 19
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2017_2_a2/
LA  - ru
ID  - PFMT_2017_2_a2
ER  - 
%0 Journal Article
%A Yu. A. Grishechkin
%A V. N. Kapshai
%A M. S. Danilchenko
%T Relativistic bound $s$-states problem for superposition of two potentials «$\delta$-sphere» type
%J Problemy fiziki, matematiki i tehniki
%D 2017
%P 15-19
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2017_2_a2/
%G ru
%F PFMT_2017_2_a2
Yu. A. Grishechkin; V. N. Kapshai; M. S. Danilchenko. Relativistic bound $s$-states problem for superposition of two potentials «$\delta$-sphere» type. Problemy fiziki, matematiki i tehniki, no. 2 (2017), pp. 15-19. http://geodesic.mathdoc.fr/item/PFMT_2017_2_a2/