A method of solving quasipotential equations

A method is proposed for solving quasipotential equations in the configuration space on the basis of a special integral transformation. The Coulomb problem is solved by this method. The class of potentials that admit exact solution of quasipotential equations with discrete spectrum is described. The connection between the proposed method and the approach based on expansion of the wave function with respect to irreducible unitary representations of the Lorentz group is established.