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arXiv · 0804.4382

Boundary Shape and Casimir Energy

H. Ahmedov·I. H. Duru
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Abstract

Casimir energy changes are investigated for geometries obtained by small but arbitrary deformations of a given geometry for which the vacuum energy is already known for the massless scalar field. As a specific case, deformation of a spherical shell is studied. From the deformation of the sphere we show that the Casimir energy is a decreasing function of the surface to volume ratio. The decreasing rate is higher for less smooth deformations.

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H. Ahmedov, I. H. Duru. 2008-10-24. Boundary Shape and Casimir Energy. https://doi.org/10.1088/1751-8113%2F42%2F11%2F115401

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