Casimir force between partially transmitting mirrors

Details Casimir force between partially transmitting mirrors Casimir force between partially transmitting mirrors

2001-01-16

arxiv.org/abs/quant-ph/0101067v1

Journal de Physique I 1 (1991) 1395

Physics

Quantum Physics

12 pages

Scientific paper

10.1051/jp1:1991216

The Casimir force can be understood as resulting from the radiation pressure exerted by the vacuum fluctuations reflected by boundaries. We extend this local formulation to the case of partially transmitting boundaries by introducing reflectivity and transmittivity coefficients obeying conditions of unitarity, causality and high frequency transparency. We show that the divergences associated with the infiniteness of the vacuum energy do not appear in this approach. We give explicit expressions for the Casimir force which hold for any frequency dependent scattering and any temperature. The corresponding expressions for the Casimir energy are interpreted in terms of phase shifts. The known results are recovered at the limit of a perfect reflection.

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