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

被引：141

作者：

Bulgac, A ^{[1
]}

Magierski, P

Wirzba, A

机构：

[1] Univ Washington, Dept Phys, Seattle, WA 98195 USA

[2] Warsaw Univ Technol, Fac Phys, PL-00662 Warsaw, Poland

[3] Forschungszentrum Julich, Inst Kernphys Theorie, D-52425 Julich, Germany

来源：

PHYSICAL REVIEW D | 2006年 / 73卷 / 02期

关键词：

D O I：

10.1103/PhysRevD.73.025007

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：14

共 77 条

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Abramowitz M., 1965, HDB MATH FUNCTIONS F, DOI DOI 10.1119/1.15378

[2] ELECTROMAGNETIC-WAVES NEAR PERFECT CONDUCTORS .1. MULTIPLE-SCATTERING EXPANSIONS - DISTRIBUTION OF MODES [J].