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Soft and hard confinement of a two-electron quantum system - MaRDI portal

Soft and hard confinement of a two-electron quantum system

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Publication:6256222

DOI10.1140/EPJP/I2014-14274-0arXiv1411.2060MaRDI QIDQ6256222

Nasser Saad, K. D. Sen, Richard L. Hall

Publication date: 7 November 2014

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 R. 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.












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