2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/91356It is shown that the Hurwitz transformation connects the eight-dimensional repulsive oscillator problem with the five-dimensional Coulomb problem for continuous spectrum. The hyperspherical and parabolic bases for this system are calculated. The quantum mechanical scattering problem of charged particles in the 5-dimensional Coulomb field is solved.6 pagesQuantum PhysicsCoulomb-Oscillator Duality and Scattering Problem in 5-Dimensional Coulomb Fieldtext