English

Boundary Shape and Casimir Energy

High Energy Physics - Theory 2009-11-13 v3

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.

Keywords

Cite

@article{arxiv.0804.4382,
  title  = {Boundary Shape and Casimir Energy},
  author = {H. Ahmedov and I. H. Duru},
  journal= {arXiv preprint arXiv:0804.4382},
  year   = {2009}
}

Comments

12 pages

R2 v1 2026-06-21T10:35:09.601Z