Irregular solutions and completeness
V Jayaram Menon, A.V. Lagu · Journal of Physics A Mathematical and General · 1982
It is pointed out that the bound and scattering states generated by a short-range two-body potential form a complete set even in the space of irregular solutions. Working with the relevant Wronskian relations an explicit eigenfunction expansion for the outgoing Jost solution is obtained. The formalism reduces to an interesting integral of spherical Bessel functions for the case of free particles.