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

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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.
@article{TMF_1986_69_3_a7,
     author = {V. N. Kapshai and V. I. Savrin and N. B. Skachkov},
     title = {Dependence of the quasipotential on the total energy of a~two-particle system},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {400--410},
     publisher = {mathdoc},
     volume = {69},
     number = {3},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_69_3_a7/}
}
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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/