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arXiv · 1207.4183

Scalar Casimir effect between two concentric spheres

Mustafa Ozcan
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Abstract

The Casimir effect giving rise to an attractive force between the closely spaced two concentric spheres that confine the massless scalar field is calculated by using a direct mode summation with contour integration in the complex plane of eigenfrequencies. We devoleped a new approach appropriate for the calculation of the Casimir energy for spherical boundary conditions. The Casimir energy for a massless scalar field between the closely spaced two concentric spheres coincides with the Casimir energy of the parallel plates for a massless scalar field in the limit when the dimensionless parameter {\eta}, ({\eta}=((a-b)/(\surd(ab))) where a (b) is inner (outer) radius of sphere), goes to zero. The efficiency of new approach is demonstrated by calculation of the Casimir energy for a massless scalar field between the closely spaced two concentric half spheres. PACS number(s): 03.70.+k, 12.20.DS, 11.10.Gh

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Mustafa Ozcan. 2012-07-17. Scalar Casimir effect between two concentric spheres. https://doi.org/10.1142/s0217751x12500820

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