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- W2000999769 abstract "We consider two large ideal parallel plates, each ${l}_{1}$ by ${l}_{2},$ at a temperature T. The plates are a distance ${l}_{3}$ apart, where ${l}_{3}ensuremath{ll}{l}_{1}$ and ${l}_{3}ensuremath{ll}{l}_{2},$ with a vacuum between them. The free energy per unit area, ${A}^{T}{/l}_{1}{l}_{2},$ of such a system has long been known. The derivation was a quantum field-theoretic one. It was found that, for ${k}_{B}Tensuremath{gg}ensuremath{Elzxh}{c/l}_{3},$ ${A}^{T}{/l}_{1}{l}_{2}$ becomes ensuremath{Elzxh} independent, that is, classical. The classical result is given by ${A}_{mathrm{Cl}}^{T}{/l}_{1}{l}_{2}{=A}^{Tensuremath{sim}ensuremath{infty}}{/l}_{1}{l}_{2}=ensuremath{-}ensuremath{zeta}{(3)k}_{B}T/8ensuremath{pi}{l}_{3}^{2},$ where $ensuremath{zeta}(3)=1.20dots{}.$ We show that the classical limit can be obtained within the framework of renormalized classical theory, the ultraviolet catastrophe having been eliminated on taking the difference between the electromagnetic fields in the presence and absence of the walls; a Casimir effect could have been obtained before the advent of quantum field theory, or even of quantum mechanics. The domain of validity of the result could not have been obtained, nor would the experimental verification of the theory have been remotely possible." @default.
- W2000999769 created "2016-06-24" @default.
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- W2000999769 date "2002-01-30" @default.
- W2000999769 modified "2023-10-17" @default.
- W2000999769 title "Classical Casimir effect: The interaction of ideal parallel walls at a finite temperature" @default.
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- W2000999769 doi "https://doi.org/10.1103/physreva.65.034101" @default.
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