The Casimir effect: medium and geometry
Valery N. Marachevsky
TL;DR
This paper reviews the theoretical foundations of the Casimir effect, deriving formulas for various geometries and media, including complex systems with layered structures and dispersive materials.
Contribution
It provides new derivations and discussions of the Casimir effect in media, layered systems, and geometries, expanding the theoretical understanding of the phenomenon.
Findings
Derived Casimir-Polder formulas for specific geometries
Extended Lifshitz theory to layered media
Analyzed Casimir effect with 2+1 fermion layers
Abstract
Theory of the Casimir effect is presented in several examples. Casimir - Polder type formulas, Lifshitz theory and theory of the Casimir effect for two gratings separated by a vacuum slit are derived. Equations for the electromagnetic field in the presence of a medium and dispersion are discussed. Casimir effect for systems with a layer of 2+1 fermions is studied.
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