Solutions of relativistic radial quasipotential equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 254-269 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A systematic approach to the investigation of relativistic radial quasipotential equations is developed. Solutions are obtained with zero-value boundary condition at the point $r=0$ and also Jest solutions of the equation $$ [2c\sqrt{{q^2}+{m^2c^2}}-H^{\mathrm{rad}}_{0}-V(r;E_q)]\psi_l(q,r)=0 $$ on the half-axis $[0,\infty)$ for the $S$-wave ease $(l=0)$ when $H^{\mathrm{rad}}_0=2mc^{2}\ch\biggl(\frac{i\hbar}{mc}\frac{d}{dr}\biggr)$.
@article{TMF_1985_63_2_a8,
     author = {Vu Suan Minh and E. P. Zhidkov and V. G. Kadyshevskii},
     title = {Solutions of relativistic radial quasipotential equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {254--269},
     year = {1985},
     volume = {63},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a8/}
}
TY  - JOUR
AU  - Vu Suan Minh
AU  - E. P. Zhidkov
AU  - V. G. Kadyshevskii
TI  - Solutions of relativistic radial quasipotential equations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1985
SP  - 254
EP  - 269
VL  - 63
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a8/
LA  - ru
ID  - TMF_1985_63_2_a8
ER  - 
%0 Journal Article
%A Vu Suan Minh
%A E. P. Zhidkov
%A V. G. Kadyshevskii
%T Solutions of relativistic radial quasipotential equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1985
%P 254-269
%V 63
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a8/
%G ru
%F TMF_1985_63_2_a8
Vu Suan Minh; E. P. Zhidkov; V. G. Kadyshevskii. Solutions of relativistic radial quasipotential equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 254-269. http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a8/

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

[2] Kadyshevsky V. G., Nucl. Phys., 36:1 (1968), 125–137 | DOI

[3] Kadyshevsky V. G., Mateev M. D., Nuovo Cim., 55A:2 (1968), 1332–1340

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

[5] Freeman M., Mateev M. D., Mir-Kasimov R. M., Nucl. Phys., B12 (1969), 197–215 | DOI

[6] Kadyshevskii V. G., Mir-Kasimov R. M., Skachkov N. B., YaF, 9:1 (1969), 212–219 | MR

[7] Kadyshevskii V. G., Mir-Kasimov R. M., Skachkov N. B., YaF, 9:2 (1969), 462–471 | MR

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

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

[10] Todorov I. T., “Local Quasipotential Equations for the Relativistic Two-Body Problem”, New Developments in Relativistic Quantum Field Theory and Its Applications, vol. 1, Wroclaw, 1972, 1–21 | MR

[11] Amirkhanov I. V., Grusha V. G., Mir-Kasimov R. M., EChAYa, 12:3 (1981), 651–691 | MR

[12] Kapshai V. N., Skachkov Ya. B., Tochnye resheniya kvazipotentsialnykh uravnenii dlya nekotorykh analogov potentsialov zapiraniya, Preprint R2-82-271, OIYaI, Dubna, 1982

[13] Kapshai V. N., Skachkov Ya. B., Tochnye resheniya kvazipotentsialnykh uravnenii dlya kulonovskogo i lineinogo zapirayuschego potentsialov, Preprint R2-82-272, OIYaI, Dubna, 1982

[14] Kapshai V. N., Kuleshov S. P., Skachkov N. B., Ob odnom klasse tochnykh reshenii kvazipotentsialnykh uravnenii, Preprint R2-82-530, OIYaI, Dubna, 1982

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

[16] Aleksandrov L., Karadzhov D., ZhVM i MF, 20:4 (1970), 923–938 | MR

[17] Gelfond A. O., Ischislenie konechnykh raznostei, Fizmatgiz, M., 1967 | MR

[18] Koddington E. A., Levinson N., Teoriya obyknovennykh differentsialnykh uravnenii, IL, M., 1958

[19] Zhuravlev (red.), Matematicheskie metody v teorii sistem, Mir, M., 1979

[20] Vu Suan Min, DAN SSSR, 276:3 (1984), 525–527 | MR

[21] Vu Suan Min, Nablyudaemost i minimalnaya realizatsiya bilineinykh diskretnykh dinamicheskikh sistem, Preprint R5-82-657, OIYaI, Dubna, 1982

[22] De Alfaro V., Redzhe T., Potentsialnoe rasseyanie, Mir, M., 1966 | Zbl