https://doi.org/10.1140/epjp/i2014-14274-0
Regular Article
Soft and hard confinement of a two-electron quantum system
1
Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, H3G 1M8, Montréal, Canada
2
Department of Mathematics and Statistics, University of Prince Edward Island, 550 University Avenue, C1A 4P3, Charlottetown, PEI, Canada
3
School of Chemistry, University of Hyderabad, 500046, Hyderabad, India
* e-mail: richard.hall@concordia.ca
Received:
8
September
2014
Revised:
5
November
2014
Accepted:
7
November
2014
Published online:
24
December
2014
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2014
