Casimir force between $\delta -{\delta }^{\prime }$ mirrors transparent at high frequencies

Abstract

We investigate, in the context of a real massless scalar field in $1+1$ dimensions, models of partially reflecting mirrors simulated by Dirac $\delta -{\delta }^{\prime }$ point interactions. In the literature, these models do not exhibit full transparency at high frequencies. In order to provide a more realistic feature for these models, we propose a modified $\delta -{\delta }^{\prime }$ point interaction that enables full transparency in the limit of high frequencies. Taking this modified $\delta -{\delta }^{\prime }$ model into account, we investigate the Casimir force, comparing our results with those found in the literature.

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Cited by in corpus (5)

• Local Casimir Effect for a Scalar Field in Presence of a Point Impurity
• Dynamical Casimir effect enhanced by decreasing the mirror reflectivity
• Vacuum polarization with zero-range potentials on a hyperplane
• The role of scalar current coupling along surfaces
• One-dimensional scattering of fermions in double Dirac delta potentials