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This paper derives a temperature-dependent formula for the Casimir-Lifshitz force using complex analysis, addressing fundamental interactions in layered structures relevant to nanoscale quantum devices. The work contributes to theoretical physics by refining dispersion force models under varying thermal conditions, which is essential for precision engineering in quantum systems.

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Temperature dependence of the Casimir force between plane-layered structures: an approach based on the principle of argument

arXiv19 octombrie 20261 min de cititArticolul și perspectiva sunt în engleză.

arXiv:2610.23354v1 Announce Type: new 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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