Boundary shape and Casimir energy

DOI10.1088/1751-8113/42/11/115401zbMATH Open1176.81122arXiv0804.4382OpenAlexW2034448171MaRDI QIDQ3648298

Author name not available (Why is that?)

Publication date: 24 November 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/0804.4382

Mathematics Subject Classification ID

Casimir effect in quantum field theory (81T55)

Related Items (2)

Surface divergences and boundary energies in the Casimir effect ⋮ Casimir energy for open membranes

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