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arXiv · 1312.7716

Casimir Energy of an irregular membrane

B. Droguett·J. C. Rojas
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Abstract

We compute the Casimir energy which arises in a bi-dimensional surface due to the quantum fluctuations of a scalar field. We assume that the boundaries are irregular and the field obeys Dirichlet condition. We re-parametrize the problem to one which has flat boundary conditions and the irregularity is treated as a perturbation in the Laplace-Beltrami operator which appears. Later, to compute the Casimir energy, we use zeta function regularization. It is compared the results coming from perturbation theory with the WKB method.

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B. Droguett, J. C. Rojas. 2014-01-28. Casimir Energy of an irregular membrane. https://arxiv.org/abs/1312.7716

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