Calculation of the Casimir force between Ge test bodies in different theoretical approaches

TL;DR

This paper compares different theoretical models for calculating the Casimir force between germanium bodies, highlighting the impact of free charge carriers on the force predictions.

Contribution

It systematically evaluates the Casimir force using various models for free charge carriers, clarifying their effects on the force calculations.

Findings

Plasma and Drude models yield similar results.

Diffusion model results lie between no-carrier and plasma/Drude models.

Including charge carriers affects the Casimir force predictions.

Abstract

We calculate the Casimir force between a Ge plate and a Ge spherical lens with neglected and included free charge carriers. Computations with included carriers are performed using the Drude, plasma, and diffusion models. It is shown that the plasma and the Drude models lead to almost identical computational results, while the results obtained using the diffusion model are sandwiched between those obtained with neglected charge carriers and with charge carriers described by the plasma or Drude models.