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

References in corpus (3)

• Hydrogen-atom spectrum under a minimal-length hypothesis
• A novel experimental approach for the detection of the dynamic Casimir effect
• Boundaries and the Casimir effect in non-commutative space-time

Cited by in corpus (1)

• Casimir effect in deformed field