Casimir-Polder intermolecular forces in minimal length theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1103/PhysRevD.76.045012

Generalized uncertainty relations are known to provide a minimal length $\hbar\sqrt{\beta}$. 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.

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