A thick shell Casimir effect

TL;DR

This paper analyzes the Casimir energy of a thick dielectric-diamagnetic shell, revealing conditions for inward or outward stress and exploring the potential for stable configurations based on material properties and geometry.

Contribution

It introduces a detailed analysis of the Casimir effect in thick shells with variable parameters, highlighting conditions for stability and stress direction.

Findings

Inward and outward stress regimes identified

Conditions for stable shell configurations analyzed

Dependence of Casimir energy on radii and permeabilities established

Abstract

We consider the Casimir energy of a thick dielectric-diamagnetic shell under a uniform velocity light condition, as a function of the radii and the permeabilities. We show that there is a range of parameters in which the stress on the outer shell is inward, and a range where the stress on the outer shell is outward. We examine the possibility of obtaining an energetically stable configuration of a thick shell made of a material with a fixed volume.