On the Casimir effect from the zero-point energy: A tangential force and its properties
arXiv:2111.11985 · doi:10.1088/1367-2630/ac9f27
Abstract
We investigate the Casimir effect in the systems that consist of parallel but misaligned finite-size plates from the point of view of zero-point energy. We elaborate the zero-point energies of the radiation field in the perfect conductor systems would generate a tangential Casimir force, and explore the properties and consequences of this tangential force in various conductor systems. Thereafter, we generalize our discussion to dielectrics. After calculating the total zero-point energies of the surface modes in the multilayered systems, we show that the tangential force also exists in dielectrics. We obtain the finite-conductivity corrections to the tangential force for imperfectly conducting plates, and calculate the finite-temperature corrections to the force. The typical strength of the tangential force suggests it might be observable.
arXiv commentv2: dielectrics included; v3: minor revision, mainly for finite temperature; eq.17 simplified; v4: generalization to dielectrics revised
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