Bases and interbasis expansions in the generalized MIC–Kepler problem in the continuous spectrum and the scattering problem

The spherical and parabolic wave functions are calculated for the generalized MIC–Kepler system in the continuous spectrum. It is shown that the coefficients of the parabola–sphere and sphere–parabola expansion are expressed in terms of the generalized hypergeometric function $_{3}F_2(\ldots\mid 1)$. The quantum mechanical problem of scattering in the generalized MIC–Kepler system is solved.