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arXiv · 1207.4612

Scalar Casimir effect between two concentric D-dimensional spheres

Mustafa Özcan
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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

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Mustafa Özcan. 2012-07-19. Scalar Casimir effect between two concentric D-dimensional spheres. https://doi.org/10.1142/s0217751x12500947

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