Geodesic
Exact solutions of quasipotential equations for the Coulomb potential and a linear confining potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 236-245 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Covariant two-particle equations are considered in the case of quasipotentials that are relativistic analogs of well-known quantum-mechanical potentials. Exact solutions are found for the three-dimensional nonlocal Logunov–Tavkhelidze equation for the case of the Coulomb interaction, and also solutions of the local equation for the case of a confining (linear in the relativistic configuration representation) quasipotential. Onedimensional quasipotential equations and their solutions are also considered. 
@article{TMF_1983_55_2_a7,
     author = {V. N. Kapshai and N. B. Skachkov},
     title = {Exact solutions of quasipotential equations for the {Coulomb} potential and a~linear confining potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {236--245},
     year = {1983},
     volume = {55},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a7/}
}
TY  - JOUR
AU  - V. N. Kapshai
AU  - N. B. Skachkov
TI  - Exact solutions of quasipotential equations for the Coulomb potential and a linear confining potential
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 236
EP  - 245
VL  - 55
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a7/
LA  - ru
ID  - TMF_1983_55_2_a7
ER  - 
%0 Journal Article
%A V. N. Kapshai
%A N. B. Skachkov
%T Exact solutions of quasipotential equations for the Coulomb potential and a linear confining potential
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 236-245
%V 55
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a7/
%G ru
%F TMF_1983_55_2_a7
V. N. Kapshai; N. B. Skachkov. Exact solutions of quasipotential equations for the Coulomb potential and a linear confining potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 236-245. http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a7/

[1] Logunov A. A., Tavkhelidze A. N., Nuovo Cim., 29:2 (1963), 380–400 | DOI | MR

[2] Kadyshevskii V. G., Tavkhelidze A. N., “Kvazipotentsialnyi metod v relyativistskoi zadache dvukh tel”, Problemy teoreticheskoi fiziki, Sb., posvyaschennyi N. N. Bogolyubovu v svyazi s ego 60-letiem, Nauka, M., 1969 | MR

[3] Kadyshevsky V. G., Nucl. Phys., B6:1 (1968), 125–148 | DOI

[4] Logunov A. A., Savrin V. I., Tyurin N. E., Khrustalev O. A., TMF, 6:2 (1971), 157–165

[5] Faustov R. N., Ann. of Phys., 78:1 (1973), 176–189 | DOI

[6] Kvinikhidze A. N., Stoyanov D. Ts., Retarded part of the two-body Green function and two-body relativistic problem, Preprint E2-5746, JINR, Dubna, 1971

[7] Kapshay V. N., Skachkov N. B., Exact solution of the covariant two-particle equation with superposition of one boson exchanche quasipotential, Preprint E2-81-618, JINR, Dubna, 1981; Капшай В. Н., Скачков Н. Б., Ковариантные двухчастичные волновые функции для модельных квазипотенциалов, допускающих точные решения. Часть 1, Препринт Р2-82-155, ОИЯИ, Дубна, 1982; Часть 2, Препринт Р2-82-163, ОИЯИ, Дубна, 1982

[8] Donkov A. D., Kadyshevskii V. G., Mateev M. D., Mir-Kasimov R. M., TMF, 8:1 (1971), 61–72 | MR

[9] Goloskokov S. V., Kuleshov S. P., Sidorov A. V., Pisma v ZhETF, 31 (1980), 154–156

[10] Atakishiev N. M., Mir-Kasimov R. M., Nagiev Sh. M., TMF, 44:1 (1980), 47–62 | MR

[11] Kadyshevskii V. G., Mir-Kasimov R. M., Skachkov N. B., EChAYa, 2:3 (1972), 635–690

[12] Zhidkov E. P., Kadyshevskii V. G., Katyshev Yu. V., TMF, 3:2 (1970), 191–196 | MR

[13] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, t. I–II, Nauka, M., 1974 | MR

[14] Skachkov N. B., Solovtsov I. L., YaF, 31:5 (1980), 1332–1340

[15] Kadyshevskii V. G., Mir-Kasimov R. M., Friman M., YaF, 9:3 (1969), 646–652 | MR