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Abstract
We discuss the formalism of Balian and Duplantier [Balian and Duplantier, Ann. Phys. (NY) 104, 300 (1977); Balian and Duplantier, Ann. Phys. (NY) 112, 165 (1978)] for the calculation of the Casimir energy for an arbitrary smooth compact surface and use it to give some examples: a finite cylinder with hemispherical caps, a torus, an ellipsoid of revolution, a cube with rounded corners and edges, and a drum made of disks and part of a torus. We propose a model function that approximately captures the shape dependence of the Casimir energy.
Document Type
Article
Publication Date
7-15-2014
Digital Object Identifier (DOI)
http://dx.doi.org/10.1103/PhysRevA.90.012514
Funding Information
This work was supported by US AFOSR Grant No. FA9550-11-1-0297.
Repository Citation
Straley, Joseph P. and Kolomeisky, Eugene B., "Casimir Energy of Smooth Compact Surfaces" (2014). Physics and Astronomy Faculty Publications. 285.
https://uknowledge.uky.edu/physastron_facpub/285
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Notes/Citation Information
Published in Physical Review A: Atomic, Molecular, and Optical Physics, v. 90, no. 1, article 012514, p. 1-8.
©2014 American Physical Society
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