Temperature dependence of the Casimir force between plane-layered structures: an approach based on the principle of argument
quant-ph
Submitted: 2026-10-16
Updated: 2026-10-16
Comments: 30 pages, 3 figures, 34 references
License: http://creativecommons.org/licenses/by/4.0/
The gist: Based on the complex analysis theorem the principle of argument, a temperature-dependent formula for the Casimir-Lifshitz dispersion force of the interaction of two arbitrary plane-layered structures
Abstract
Based on the complex analysis theorem the principle of argument, a temperature-dependent formula for the Casimir-Lifshitz dispersion force of the interaction of two arbitrary plane-layered structures separated by either a vacuum gap of size d or a layer of size d consisting of an arbitrary dissipative dielectric with dispersion is derived. The formula consists of the temperature-dependent Lifshitz formula plus the temperature-dependent contour integral
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