Quasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots
Quantum Physics
2017-07-17 v3 Materials Science
Strongly Correlated Electrons
Mathematical Physics
math.MP
Abstract
We present an analysis of the two-dimensional Schrodinger equation for two electrons interacting via Coulombic force and confined in an anizotropic harmonic potential. The separable case of wy = 2wx is studied particularly carefully. The closed-form expressions for bound-state energies and the corresponding eigenfunctions are found at some particular values of wx. For highly-accurate determination of energy levels at other values of wx, we apply an efficient scheme based on the Frobenius expansion.
Keywords
Cite
@article{arxiv.quant-ph/0607176,
title = {Quasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots},
author = {Przemyslaw Koscik and Anna Okopinska},
journal= {arXiv preprint arXiv:quant-ph/0607176},
year = {2017}
}
Comments
11 pages, 4 figures