This article is cited in 12 papers

Some properties of the solutions of a quasipotential equation

V. O. Galkin, R. N. Faustov


Abstract: A study is made of the order of the energy levels of bound two-particle systems described by relativistic equations that can be transformed to a local form. It is found that the energy levels of the quasi-potential equation are normally ordered if the quasipotential is a nonincreasing function of the energy. A method is proposed for numerical solution of the quasipotential equation with the relativistic kinematics taken into account explicitly and the relativistic dynamics taken into account by perturbation theory.

Received: 01.02.1990

 English version: Theoretical and Mathematical Physics, 1990, 85:1, 1119–1123

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