Geodesic
Covariant two-particle wave functions for model quasipotentials that admit exact solutions. II. Solutions in the relativistic configuration representation
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 1, pp. 26-38 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

For the wave function of the relative motion of a bound system of two relativistic particles, two formulations of quasipotential equations in the relativistic configuration representation are considered. Exact solutions to these equations are found for some model quasipotentials. 
@article{TMF_1983_55_1_a2,
     author = {V. N. Kapshai and N. B. Skachkov},
     title = {Covariant two-particle wave functions for model quasipotentials that admit exact {solutions.~II.} {Solutions} in the relativistic configuration representation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {26--38},
     year = {1983},
     volume = {55},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a2/}
}
TY  - JOUR
AU  - V. N. Kapshai
AU  - N. B. Skachkov
TI  - Covariant two-particle wave functions for model quasipotentials that admit exact solutions. II. Solutions in the relativistic configuration representation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 26
EP  - 38
VL  - 55
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a2/
LA  - ru
ID  - TMF_1983_55_1_a2
ER  - 
%0 Journal Article
%A V. N. Kapshai
%A N. B. Skachkov
%T Covariant two-particle wave functions for model quasipotentials that admit exact solutions. II. Solutions in the relativistic configuration representation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 26-38
%V 55
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a2/
%G ru
%F TMF_1983_55_1_a2
V. N. Kapshai; N. B. Skachkov. Covariant two-particle wave functions for model quasipotentials that admit exact solutions. II. Solutions in the relativistic configuration representation. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 1, pp. 26-38. http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a2/

[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, 261–277 | MR

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

[4] Kadyshevsky V. G., Mir-Kasimov R. M., Skachkov N. B., Nuovo Cim., 55A (1968), 233–257 | DOI

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

[6] Shirokov Yu. M., ZhETF, 35:4 (1958), 1005–1013

[7] Faustov R. N., Annals of Phys., 78:1 (1973), 176–180 | DOI

[8] Kapshay V. N., Skachkov N. B., Exact solution of the covariant two-particle equation with superposition of one-boson exchange quasipotential, Preprint E2-81-618, JINR, Dubna, 1981

[9] Kapshai V. N., Skachkov N. B., Kovariantnye dvukhchastichnye volnovye funktsii dlya modelnykh kvazipotentsialov, dopuskayuschikh tochnye resheniya. I: Resheniya v impulsnom predstavlenii, Preprint R2-82-155, OIYaI, Dubna, 1982

[10] Shapiro I. S., DAN SSSR, 106:6 (1956), 647–649 | Zbl

[11] Skachkov N. B., Solovtsov I. L., TMF, 41:2 (1979), 205–219

[12] Arkhipov A. A., Savrin V. I., Ob odnom metode resheniya kvazipotentsialnogo uravneniya, Preprint IFVE, No 82-21, Serpukhov, 1982 | MR

[13] 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

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

[15] Kadyshevsky V. G., Mateev M. D., Nuovo Cim., 55A:2, 275–300