Abstract:
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.
Citation:
S. P. Merkur'ev, A. K. Motovilov, S. D. Yakovlev, “Few-body problem in the boundary condition model and quasipotentials”, TMF, 94:3 (1993), 435–447; Theoret. and Math. Phys., 94:3 (1993), 306–314