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

Przemyslaw Koscik·Anna Okopinska
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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.

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Przemyslaw Koscik, Anna Okopinska. 2007-02-28. Quasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots. https://doi.org/10.1088/1751-8113%2F40%2F5%2F012

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