Exact solutions of a class of quasipotential equations for a superposition of one-boson exchange quasipotentials
Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 2, pp. 188-198 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A large class of quasipotential equations that describe two-particle bound states is studied in the case of an interaction taken in the form of a superposition of one-boson exchange quasipotentials. By a Legendre transformation, the equations are reduced to the form of differential equations with deviating arguments. Solutions of these equations are found in the class of generalized functions. Quantization conditions and wave functions are obtained in the relativistic configuration and momentum representations.
@article{TMF_1990_82_2_a2,
     author = {E. A. Dei and V. N. Kapshai and N. B. Skachkov},
     title = {Exact solutions of~a~class of~quasipotential equations for a~superposition of~one-boson exchange quasipotentials},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {188--198},
     year = {1990},
     volume = {82},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_82_2_a2/}
}
TY  - JOUR
AU  - E. A. Dei
AU  - V. N. Kapshai
AU  - N. B. Skachkov
TI  - Exact solutions of a class of quasipotential equations for a superposition of one-boson exchange quasipotentials
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1990
SP  - 188
EP  - 198
VL  - 82
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1990_82_2_a2/
LA  - ru
ID  - TMF_1990_82_2_a2
ER  - 
%0 Journal Article
%A E. A. Dei
%A V. N. Kapshai
%A N. B. Skachkov
%T Exact solutions of a class of quasipotential equations for a superposition of one-boson exchange quasipotentials
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1990
%P 188-198
%V 82
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1990_82_2_a2/
%G ru
%F TMF_1990_82_2_a2
E. A. Dei; V. N. Kapshai; N. B. Skachkov. Exact solutions of a class of quasipotential equations for a superposition of one-boson exchange quasipotentials. Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 2, pp. 188-198. http://geodesic.mathdoc.fr/item/TMF_1990_82_2_a2/

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

[2] Kadyshevskii V. G., Tavkhelidze A. N., Problemy teoreticheskoi fiziki, Sb., posvyaschennyi 60-letiyu N. N. Bogolyubova, Nauka, M., 1969, 261–277 | MR

[3] Kadyshevsky V. G., Nucl. Phys., B6:1 (1968), 125–137 | DOI

[4] Faustov R. N., EChAYa, 3:1 (1972), 238–268

[5] Savrin V. I., Sidorov A. V., Skachkov N. B., Hadronic Jorn., 4:5 (1981), 1642–1679

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

[7] Kapshai V. N., Skachkov N. B., TMF, 53:1 (1982), 32–42 ; 54:3 (1983), 406–415 ; 55:1, 26–38 ; 2, 236–245 | MR | MR | MR

[8] Arkhipov A. A., Savrin V. I., TMF, 53:3 (1982), 342–357 | MR

[9] Kapshai V. N., Kuleshov S. P., Skachkov N. B., TMF, 55:3 (1983), 349–360 | MR

[10] Boos E. E., Savrin V. I., Shablygin E. M., TMF, 72:2 (1987), 197–203 | MR

[11] Dei E. A., Kapshai V. N., Skachkov N. B., TMF, 69:1 (1986), 55–68 | MR

[12] Kadyshevsky V. G., Mir-Kasimov R. M., Skachkov N. B., Nuovo Cim., 55A:2 (1968), 233–257 | DOI

[13] Kapshai V. N., Savrin V. I., Skachkov N. B., TMF, 69:3 (1986), 400–410

[14] Kadyshevskii V. G., ZhETF, 46:2 (1968), 654–662 ; 3, 872–883 | MR

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

[16] Skachkov N. B., Solovtsov I. L., TMF, 43:3, 330–342 | MR

[17] Shapiro I. S., DAN SSSR, 106:4 (1956), 647–649 | MR | Zbl

[18] Skachkov N. B., Solovtsov I. L., TMF, 54:2, 183–192 | MR

[19] Bellman R., Kuk K. L., Differentsialno-raznostnye uravneniya, Mir, M., 1967 | MR | Zbl

[20] Vladimirov V. S., Obobschennye funktsii v matematicheskoi fizike, Nauka, M., 1979 | MR

[21] Kapshai V. N., Konoplyanikov V. F., Skachkov N. B., Starikov V. N., VKB-resheniya kvazipotentsialnykh uravnenii v impulsnom predstavlenii, Preprint R2-87-301, OIYaI, Dubna, 1987 | MR