Exploring the quantum vacuum with cylinders

TL;DR

This paper reviews recent advances in understanding the Casimir interaction energy between cylindrical shells, proposing new experiments and providing exact formulas for eccentric cylinders, enhancing theoretical and numerical evaluation methods.

Contribution

It introduces an exact formula for vacuum energy between eccentric cylinders and discusses new experimental proposals involving cylinders, advancing the study of Casimir effects.

Findings

Exact formula for eccentric cylindrical shells

Proposed experiments with cylinders and conducting plates

Improved analytical and numerical evaluation methods

Abstract

We review recent work on the Casimir interaction energy between cylindrical shells. We include proposals for future experiments involving cylinders, such us a null experiment using quasi-concentric cylinders, a cylinder in front a conducting plate, and a cylindrical version of the rack and pinion powered by Casimir lateral force. We also present an exact formula for the theoretical evaluation of the vacuum interaction energy between eccentric cylindrical shells, and describe improved analytical and numerical evaluations for the particular case of concentric cylinders.