Geodesic
Exact solutions of quasipotential equations for the Coulomb potential and a~linear confining potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 236-245

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Covariant two-particle equations are considered in the case of quasipotentials that are relativistic analogs of well-known quantum-mechanical potentials. Exact solutions are found for the three-dimensional nonlocal Logunov–Tavkhelidze equation for the case of the Coulomb interaction, and also solutions of the local equation for the case of a confining (linear in the relativistic configuration representation) quasipotential. Onedimensional quasipotential equations and their solutions are also considered. 
@article{TMF_1983_55_2_a7,
     author = {V. N. Kapshai and N. B. Skachkov},
     title = {Exact solutions of quasipotential equations for the {Coulomb} potential and a~linear confining potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {236--245},
     publisher = {mathdoc},
     volume = {55},
     number = {2},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a7/}
}
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V. N. Kapshai; N. B. Skachkov. Exact solutions of quasipotential equations for the Coulomb potential and a~linear confining potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 236-245. http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a7/