Casimir force in the presence of a magnetodielectric medium
Fardin Kheirandish, Morteza Soltani, Jalal Sarabadani
TL;DR
This paper derives explicit formulas for the Casimir force when a magnetodielectric medium is present, extending the classic vacuum case by quantizing the electromagnetic field using path integrals.
Contribution
It introduces a method to calculate the Casimir force in media with specific susceptibilities using path integral quantization, generalizing previous vacuum-based results.
Findings
Explicit Casimir force expressions in magnetodielectric media
Agreement with original Casimir force in vacuum case
Method applicable to various medium susceptibilities
Abstract
In this article we investigate the Casimir effect in the presence of a medium by quantizing the Electromagnetic (EM) field in the presence of a magnetodielectric medium by using the path integral formalism. For a given medium with definite electric and magnetic susceptibilities, explicit expressions for the Casimir force are obtained which are in agree with the original Casimir force between two conducting parallel plates immersed in the quantum electromagnetic vacuum.
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