Quasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots

Details Quasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots Quasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots

2006-07-25

arxiv.org/abs/quant-ph/0607176v3

J.Phys .A:Math.Theor.40(2007)1045-1055

Physics

Quantum Physics

11 pages, 4 figures

Scientific paper

10.1088/1751-8113/40/5/012

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.

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