Harmonic oscillator eigenfunction expansions, quantum dots, and effective interactions

Details Harmonic oscillator eigenfunction expansions, quantum dots, and effective interactions Harmonic oscillator eigenfunction expansions, quantum dots, and effective interactions

2008-08-15

arxiv.org/abs/0808.2145v2

Physics

Computational Physics

3 figures

Scientific paper

We give a thorough analysis of the convergence properties of the configuration-interaction method as applied to parabolic quantum dots among other systems, including \emph{a priori} error estimates. The method converges slowly in general, and in order to overcome this, we propose to use an effective two-body interaction well-known from nuclear physics. Through numerical experiments we demonstrate a significant increase in accuracy of the configuration interaction method.

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