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.

10 pages, REVTeX

References in corpus (1)

• Vacuum polarization induced by a cylindrical boundary in the cosmic string spacetime

Cited by in corpus (7)

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• Casimir Wormholes in Brans-Dicke Theory
• Local and Global Casimir Energies in a Green's Function Approach
• Casimir traversable wormholes in Gauss-Bonnet gravity