%0 Journal Article
%T On Solvable Potentials, Supersymmetry, and the One-Dimensional Hydrogen Atom
%A R. P. Mart¨ªnez-y-Romero
%A H. N. N¨²nez-Y¨¦pez
%A A. L. Salas-Brito
%J Communications and Network
%P 62-64
%@ 1947-3826
%D 2010
%I Scientific Research Publishing
%R 10.4236/cn.2010.21009
%X The ways for improving on techniques for finding new solvable potentials based on supersymmetry and shape invariance has been discussed by Morales et al. [1] In doing so they address the peculiar system known as the one-dimensional hydrogen atom. In this paper we show that their remarks on such problem are mistaken. We do this by explicitly constructing both the one-dimensional Coulomb potential and the superpotential associated with the problem, objects whose existence are denied in the mentioned paper.
%K one-dimensional hydrogen atom
%K one-dimensional Coulomb potential
%K supersymmetric quantum mechanics.
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=1287