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- W2053498981 abstract "The quantum-electrodynamic Helmholtz free energy of binding, at temperature T, is determined perturbatively to order $(nensuremath{alpha}{)}^{2}$ for atomic solid spheres of radius a, having dielectric constant $ensuremath{varepsilon}ensuremath{simeq}1+4ensuremath{pi}nensuremath{alpha}$ and magnetic susceptibility either $ensuremath{mu}=1$ or $ensuremath{mu}=1/ensuremath{varepsilon}ensuremath{simeq}1ensuremath{-}4ensuremath{pi}nensuremath{alpha}.$ Here n is the number density, and the atomic polarizabilty ensuremath{alpha} is taken as independent of frequency. The perturbative shifts are regularized by disallowing atomic separations below some minimum ensuremath{lambda}; they are renormalized by dropping components proportional to the volume and surface area, and the renormalized shifts $ensuremath{Delta}B/(nensuremath{alpha}{)}^{2}$ are expressed in terms of moments of the interatomic potential W at given T, quoted from the preceding paper. Such shifts are always dominated by (nominally) divergent components of order $ensuremath{-}ensuremath{Elzxh}c/ensuremath{lambda},$ independent of T and a. For $kTa/ensuremath{Elzxh}censuremath{gg}1,$ the convergent terms are of order $ensuremath{-}mathrm{kT}mathrm{ln}(kTa/ensuremath{Elzxh}c);$ for $kTa/ensuremath{Elzxh}censuremath{ll}1,$ they are of order $ensuremath{-}(kTa/ensuremath{Elzxh}{c)}^{3}(ensuremath{Elzxh}c/a)$ when $ensuremath{mu}=1$ and of order $ensuremath{-}(kTa/ensuremath{Elzxh}{c)}^{4}(ensuremath{Elzxh}c/a)$ when $ensuremath{mu}=1/ensuremath{varepsilon}.$ There is no compelling reason why these convergent terms should be exactly the same as the shifts determined by recent normal-mode summations; nevertheless, agreement is complete for $ensuremath{mu}=1/ensuremath{varepsilon}$ and almost complete for $ensuremath{mu}=1.$" @default.
- W2053498981 created "2016-06-24" @default.
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- W2053498981 date "2001-08-09" @default.
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- W2053498981 title "Perturbative Casimir shifts of nondispersive spheres at finite temperature" @default.
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- W2053498981 doi "https://doi.org/10.1103/physreva.64.032103" @default.
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