Properties of a Class of Nonlocal Solvable Interactions

Abstract
A generalization of factorable interactions is taken into account. The direct and inverse problems for the relative Schrödinger equation are investigated and they turn out to be workable. It is shown that such interactions can produce several bound states. The solution of the direct problem is given. A class of interactions of the considered type is constructed which produces an arbitrarily assigned finite set of bound states.