Casimir-Polder intermolecular forces in minimal length theories

Abstract

Generalized uncertainty relations are known to provide a minimal length $\hslash \sqrt{\beta }$. The effect of such minimal length in the Casimir-Polder interactions between neutral atoms (molecules) is studied. The first order correction term in the minimal uncertainty parameter is derived and found to describe an attractive potential scaling as $r^{-9}$ as opposed to the well known $r^{-7}$ long range retarded potential.

1 Figure. Version published by Physical Review D. Few references added, typos corrected

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• Local effects of the quantum vacuum in Lorentz-violating electrodynamics
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