Coulomb-Oscillator Duality and Scattering Problem in 5-Dimensional Coulomb Field
Quantum Physics
2007-05-23 v1
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.
Cite
@article{arxiv.quant-ph/0308097,
title = {Coulomb-Oscillator Duality and Scattering Problem in 5-Dimensional Coulomb Field},
author = {Levon Mardoyan},
journal= {arXiv preprint arXiv:quant-ph/0308097},
year = {2007}
}
Comments
6 pages