Evaluation of the Casimir Force for a Dielectric-diamagnetic Cylinder with Light Velocity Conservation Condition and the Analogue of Sellmeir's Dispersion Law

TL;DR

This paper investigates the Casimir pressure on a dielectric-diamagnetic cylinder considering light velocity conservation and a Sellmeir-like dispersion law, highlighting differences and similarities with the spherical case.

Contribution

It introduces a novel analysis of Casimir forces for a cylinder with specific dispersion and conservation conditions, extending previous spherical case studies.

Findings

Identifies key differences between cylindrical and spherical Casimir effects.

Demonstrates the impact of dispersion law on Casimir pressure.

Provides analytical insights into light velocity conservation effects.

Abstract

We study the Casimir pressure for a dielectric-diamagnetic cylinder subject to light velocity conservation and with a dispersion law analogous to Sellmeir's rule. Similarities to and differences from the spherical case are pointed out.