Geodesic
Dependence of the quasipotential on the total energy of a two-particle system
Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 3, pp. 400-410 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a system of two relativistic particles described in the Logunov–Tavkhelidze one-time approach the dependence of the quasipotential of one-boson exchange on the total energy of the system is calculated. It is shown that despite the nonlocal form of the obtained quasipotential the three-dimensional equations for the wave function can be reduced by a partial expansion to one-dimensional equations. The influence of the energy dependence of the quasipotential on its behavior in the coordinate representation is discussed. 
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     title = {Dependence of the quasipotential on the total energy of a~two-particle system},
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V. N. Kapshai; V. I. Savrin; N. B. Skachkov. Dependence of the quasipotential on the total energy of a two-particle system. Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 3, pp. 400-410. http://geodesic.mathdoc.fr/item/TMF_1986_69_3_a7/

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

[2] Faustov R. N., “Kvazipotentsialnyi metod v zadache o svyazannom sostoyanii dvukh chastits”, Mezhd. zimnyaya shkola teor. fiziki pri OIYaI, t. 2, OIYaI, Dubna, 1964, 108–116

[3] Filippov A. T., O postroenii kvazipotentsialnykh uravnenii v teorii polya, Preprint R-1493, OIYaI, Dubna, 1964

[4] Nguyen Van-Hieu, Faustov R. N., Nucl. Phys., 53 (1964), 337–344 | DOI | MR

[5] Faustov R. N., Khelashvili A. A., YaF, 10:5 (1969), 1085–1088

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

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

[8] Kadyshevsky V. G., Nucl. Phys., B6:1 (1968), 125–147 | DOI

[9] Kryuchkov S. V. i dr., Opisanie strukturnykh funktsii $\pi$-mezona v relyativistskoi teorii svyazannykh sostoyanii, Preprint R2-84-10, OIYaI, Dubna, 1984

[10] Khrustalev O. A., Kvazipotentsialnoe uravnenie v $\mathrm{x}$-prostranstve, Preprint 69-24, IFVE, Serpukhov, 1969