Scalar Casimir effect between Dirichlet spheres or a plate and a sphere

Bulgac, A.; Wirzba, A.; Magierski, P.

doi:10.1103/PhysRevD.73.025007

Journal Article

PreJuSER-54795

Scalar Casimir effect between Dirichlet spheres or a plate and a sphere

Bulgac, A. ; Magierski, P. ; Wirzba, A.FZJ*

2006
Soc. [S.l.]

Physical review / D 73(2), 025007 (2006) [10.1103/PhysRevD.73.025007]

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Please use a persistent id in citations: http://hdl.handle.net/2128/10604 doi:10.1103/PhysRevD.73.025007

Abstract: We present a simple formalism for the evaluation of the Casimir energy for two spheres and a sphere and a plane, in case of a scalar fluctuating field, valid at any separations. We compare the exact results with various approximation schemes and establish when such schemes become useful. The formalism can be easily extended to any number of spheres and/or planes in three or arbitrary dimensions, with a variety of boundary conditions or nonoverlapping potentials/nonideal reflectors.

Keyword(s): field theory: scalar ; effect: Casimir ; boundary condition ; sphere ; approximation: semiclassical ; dimension: 2

Classification:

Note: Record converted from VDB: 12.11.2012; published version: 13 pages, 2 figures: add. material (in Sec.VI) and corrections (esp. in App.B) Report-no: FZJ-IKP-TH-2005-28 Subj-class: High Energy Physics - Theory: Chaotic Dynamics: Statistical Mechanics Journal-ref: Phys. Rev. D 73, 025007 (2006) (14 pages) DOI: 10.1103/PhysRevD.73.025007

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