Few-body problem in the boundary condition model and quasipotentials

The boundary condition model is reformulated in terms of singular quasipotentials. In the three-body problem, Fredholm integral equations are constructed for the densities of simple and double layers concentrated on a noncompact surface with edges. Differential equations augmented with two-sided boundary conditions are formulated for the Faddeev and Faddeev—Yakubovskii components of the wave functions of three- and four-body systems.St Petersburg State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 94, No. 3, pp. 435–447, March, 1993.