Perturbative zero-point energy for a cylinder of elliptical section

2006/07/25 by Adrian R. Kitson, August Romeo · 2 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th

paper · pdf · doi:10.1103/physrevd.74.085024

published as Phys.Rev. D74 (2006) 085024 · 10 pages, REVTeX

arxiv created 2006/07/25 · openalex publication_date 2006/10/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• New Developments in the Casimir Effect
• The Casimir effect: Recent controversies and progress
• The Casimir Effect: Physical Manifestations of Zero Point Energy

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• Local and global Casimir energies for a semitransparent cylindrical shell