TL;DR
This paper studies how small geometric deformations affect Casimir energy, showing that energy decreases with surface-to-volume ratio and that less smooth deformations cause faster decreases.
Contribution
It provides a method to analyze Casimir energy changes under small arbitrary deformations of known geometries, including spherical shells.
Findings
Casimir energy decreases with surface-to-volume ratio.
Less smooth deformations lead to faster energy decrease.
Deformation of a sphere illustrates the general trend.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.