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Casimir Effect of rough plates under a magnetic field in Hov{r}ava-Lifshitz theory
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Casimir Effect of rough plates under a magnetic field in Ho\v{r}ava-Lifshitz theory
abstract
We investigate the Casimir effect for parallel plates within the framework of Ho\v{r}ava-Lifshitz theory in $3+1$ dimensions, considering the effects of roughness, anisotropic scaling factor, and an uniform constant magnetic field. Quantum fluctuations are induced by an anisotropic charged-scalar quantum field subject to Dirichlet boundary conditions. To incorporate surface roughness, we apply a coordinate transformation to flatten the plates, treating the remaining roughness terms as potential. The spectrum is derived using perturbation theory and regularized with the $\zeta$-function method. As an illustrative example, we consider plates with periodic boundary conditions.
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Cited by 1 Pith paper
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