Coulomb-Oscillator Duality and Scattering Problem in 5-Dimensional Coulomb Field
arXiv:quant-ph/0308097
Abstract
It 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 pages