Quantum vacuum pressure on a conducting slab

TL;DR

This paper calculates the Casimir vacuum pressure on a non-ideal conducting slab using a simplified model, revealing a finite pressure dependent on plasma frequency without divergence removal.

Contribution

It introduces a straightforward model for conductivity to compute finite Casimir pressure on a conducting slab at different frequencies.

Findings

Vacuum pressure is proportional to the fourth power of plasma frequency.

Pressure is finite without divergence subtraction.

Model simplifies understanding of Casimir effects on real conductors.

Abstract

The casimir pressure on a non ideal conducting slab is calculated. Using a simple model for the conductivity according to which the slab is perfectly conducting at frequencies below plasma frequency omega_p and perfectly transparent above such frequency, it is found that the vacuum pressure on each surface of the slab is (h omega_p^4)/(24 pi^2 c^3) which is finite without removal of any divergence