Perturbative zero-point energy for a cylinder of elliptical section

Abstract

We examine the Casimir effect for a perfectly conducting cylinder of elliptical section, taking as reference the known case of circular section. The zero-point energy of this system is evaluated by the mode summation method, using the ellipticity as a perturbation parameter. Mathieu function techniques are applied.

arXiv comment10 pages, REVTeX

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Cited by in corpus (10)

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• Electromagnetic Casimir Forces in Elliptic Cylinder Geometries
• The Casimir Effect in Spheroidal Geometries
• Scalar Casimir densities induced by a cylindrical shell in de Sitter spacetime
• Casimir energy of a cylindrical shell of elliptical cross section
• Casimir Wormholes in Brans-Dicke Theory
• Local and Global Casimir Energies in a Green's Function Approach
• Casimir traversable wormholes in Gauss-Bonnet gravity