The Casimir effect is studied in 1 + 1 dimensions for the case of two different plates described by the dielectric susceptibilities ∊1, ∊2 and magnetic permeabilities µ1, µ2. The modes of the electromagnetic field, quantized in the presence of the plates, are given and the Casimir force is calculated from the pressure of the field in its ground state. The force is attractive when the reflection coefficients of both plates are of the same sign, but is repulsive when the signs are opposite.
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Dorota Kupiszewska (1993) studied this question.
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