This article is cited in 10 papers

Exact solutions of quasipotential equations for the Coulomb potential and a linear confining potential

V. N. Kapshai, N. B. Skachkov


Abstract: 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.

Received: 04.05.1982

 English version: Theoretical and Mathematical Physics, 1983, 55:2, 471–477

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