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arXiv · 1401.8141

The van der Waals interaction in one, two and three dimensions

A. C. Ipsen·K. Splittorff
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Abstract

The van der Waals interaction between two polarizable atoms is considered. In three dimensions the standard form with an attractive $1/|R|^6$ potential is obtained from second-order quantum perturbation theory. When the electron motion is restricted to lower dimensions (but the $1/|R|$ Coulomb potential is retained), new terms in the expansion appear and alter both the sign and the $|R|$ dependence of the interaction.

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A. C. Ipsen, K. Splittorff. 2014-01-31. The van der Waals interaction in one, two and three dimensions. https://doi.org/10.1119/1.4896248

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