Summary
A novel quasi-potential relativistic equation for two scalar particles of arbitrary masses is presented. The derivation is demonstrated in detail. For the electromagnetic interaction, the equation has the form of the one-particle Schrödinger equation. The interaction is introduced by the minimal substitution. The exact solutions are considered in several limits: non-relativistic, equal masses, one particle at rest and ultrarelativistic. The problem of interaction retardation is discussed.
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Arbuzov, A.B. On a novel relativistic quasi-potential equation for two scalar particles. Nuov Cim A 107, 1263–1273 (1994). https://doi.org/10.1007/BF02775767
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DOI: https://doi.org/10.1007/BF02775767