Soft and hard confinement of a two-electron quantum system
Mathematical Physics
2015-02-02 v1 math.MP
Abstract
A model physical problem is studied in which a system of two electrons is subject either to soft confinement by means of attractive oscillator potentials or by entrapment within an impenetrable spherical box of finite radius When hard confinement is present the oscillators can be switched off. Exact analytical solutions are found for special parameter sets, and highly accurate numerical solutions (18 decimal places) are obtained for general cases. Some interesting degeneracy questions are discussed at length.
Cite
@article{arxiv.1411.2060,
title = {Soft and hard confinement of a two-electron quantum system},
author = {Richard L. Hall and Nasser Saad and K. D. Sen},
journal= {arXiv preprint arXiv:1411.2060},
year = {2015}
}
Comments
17 pages, two figures. arXiv admin note: substantial text overlap with arXiv:1108.4878