Scalar Casimir effect between two concentric D-dimensional spheres
Abstract
The Casimir energy for a massless scalar field between the closely spaced two concentric D-dimensional (for D>3) spheres is calculated by using the mode summation with contour integration in the complex plane of eigenfrequencies and the generalized Abel-Plana formula for evenly spaced eigenfrequency at large argument. The sign of the Casimir energy between closely spaced two concentric D-dimensional spheres for a massless scalar field satisfying the Dirichlet boundary conditions is strictly negative. The Casimir energy between D-1 dimensional surfaces close to each other is regarded as interesting both by itself and as the key to describing of stability of the attractive Casimir force. PACS number(s): 03.70.+k, 11.10.Kk, 11.10.Gh, 03.65.Ge
Keywords
Cite
@article{arxiv.1207.4612,
title = {Scalar Casimir effect between two concentric D-dimensional spheres},
author = {Mustafa Özcan},
journal= {arXiv preprint arXiv:1207.4612},
year = {2012}
}
Comments
14 pages. arXiv admin note: substantial text overlap with arXiv:1207.4183