Casimir Surface Force on a Dilute Dielectric Ball

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dc.creatorBrevik, Iver
dc.creatorMarachevsky, Valery
dc.date1999-01-20
dc.date1999-01-25
dc.date.accessioned2026-07-07T12:29:15Z
dc.date.available2026-07-07T12:29:15Z
dc.descriptionThe Casimir surface force density F on a dielectric dilute spherical ball of radius a, surrounded by a vacuum, is calculated at zero temperature. We treat (n-1) (n being the refractive index) as a small parameter. The dispersive properties of the material are taken into account by adopting a simple dispersion relation, involving a sharp high frequency cutoff at omega = omega_0. For a nondispersive medium there appears (after regularization) a finite, physical, force F^{nondisp} which is repulsive. By means of a uniform asymptotic expansion of the Riccati-Bessel functions we calculate F^{nondisp} up to the fourth order in 1/nu. For a dispersive medium the main part of the force F^{disp} is also repulsive. The dominant term in F^{disp} is proportional to (n-1)^2{omega_0}^3/a, and will under usual physical conditions outweigh F^{nondisp} by several orders of magnitude.
dc.description24 pages, latex, no figures, some additions to the Acknowledments section
dc.identifierhttps://arxiv.org/abs/hep-th/9901086
dc.identifierhttp://arxiv.org/abs/hep-th/9901086
dc.identifierPhys.Rev.D60:085006,1999
dc.identifierdoi:10.1103/PhysRevD.60.085006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215810
dc.subjectHigh Energy Physics - Theory
dc.titleCasimir Surface Force on a Dilute Dielectric Ball
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