Vector Casimir effect for a D-dimensional sphere

被引：42

作者：

Milton, KA

机构：

[1] Department of Physics and Astronomy, University of Oklahoma, Norman, OK

来源：

PHYSICAL REVIEW D | 1997年 / 55卷 / 08期

关键词：

D O I：

10.1103/PhysRevD.55.4940

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The Casimir energy or stress due to modes in a D-dimensional volume subject to TM (mixed) boundary conditions on a bounding spherical surface is calculated. Both interior and exterior modes are included. Together with earlier results found for scalar modes (TE modes), this gives the Casimir effect for fluctuating ''electromagnetic'' (vector) fields inside and outside a spherical shell. Known results for three dimensions, first found by Boyer, are reproduced. Qualitatively, the results for TM modes are similar to those for scalar modes: Poles occur in the stress at positive even dimensions, and cusps (logarithmic singularities) occur for integer dimensions D less than or equal to 1. Particular attention is given the interesting case of D = 2.

引用

页码：4940 / 4946

页数：7

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