On Solvable Potentials, Supersymmetry, and the One-Dimensional Hydrogen Atom

• 作者: A. L. Salas-Brito H. N. Núnez-Yépez R. P. Martínez-y-Romero
• 来源期刊: 通讯与网络(英文)
• 学科: 数学
• 关键词: ONE-DIMENSIONAL hydrogen ATOM ONE-DIMENSIONAL COULOMB potential SUPERSYMMETRIC quantum mechanics.
• 年，卷（期）: 2010,（1）
• 页码范围: 62-64
• 页数: 3页
• 分类号: O1

摘要

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.