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We calculate the spectrum and the total rate of created particles for a real massless scalar field in 1 + 1 dimensions, in the presence of a partially transparent moving mirror simulated by a Dirac δ − δ ′ point interaction. We show that, for this model, a partially reflecting mirror can produce a larger number of particles in comparison with a perfect one. In the limit of a perfect mirror, our formulas recover those found in the literature for the particle creation by a moving mirror with a Robin boundary condition.

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We investigate, in the context of a real massless scalar field in 1+1 dimensions, models of partially reflecting mirrors simulated by Dirac δ − δ ′ 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 δ − δ ′ point interaction that enables full transparency in the limit of high frequencies.Taking this modified δ − δ ′ model into account, we investigate the Casimir force, comparing our results with those found in the literature.