J. Phys. I France
Volume 2, Numéro 2, February 1992
Page(s) 149 - 165
DOI: 10.1051/jp1:1992130
J. Phys. I France 2 (1992) 149-165

Motional Casimir force

Marc Thierry Jaekel1 and Serge Reynaud2

1  Laboratoire de Physique Théorique de l'ENS, 24 rue Lhomond, F75231 Paris Cedex 05, France
2  Laboratoire de Spectroscopie Hertzienne, 4 place Jussieu, BP 74, F75252 Paris Cedex 05, France

(Received 4 July 1991, revised 27 September 1991, accepted 4 November 1991)

We study the situation where two point like mirrors are placed in the vacuum state of a scalar field in a two-dimensional spacetime. Describing the scattering upon the mirrors by transmittivity and reflectivity functions obeying unitarity, causality and high frequency transparency conditions, we compute the fluctuations of the Casimir forces exerted upon the two motionless mirrors. We use the linear response theory to derive the motional forces exerted upon one mirror when it moves or when the other one moves. We show that these forces may be resonantly enhanced at the frequencies corresponding to the cavity modes. We interpret them as the mechanical consequence of generation of squeezed fields.

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