Casimir energy for a purely dielectric cylinder by the mode summation method

2005/04/25 by August Romeo, Kimball A. Milton · 2 citations
Mathematics · Physics and Astronomy · #Arithmetic zeta function #Casimir effect #Classical mechanics #Computer science #Cylinder #Dielectric #Geometry #Mathematical analysis #Mathematics #Mechanical and Optical Resonators #Mode (computer interface) #Noncommutative and Quantum Gravity Theories #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Regularization (linguistics) #Riemann zeta function #Zeta function regularization #astro-ph #hep-th #quant-ph

paper · pdf · doi:10.1016/j.physletb.2005.06.073

published as Phys.Lett. B621 (2005) 309-317 · 11 pages, REVTeX, no figures

arxiv created 2005/04/25 · openalex publication_date 2005/07/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We use the mode summation method together with zeta-function regularization to compute the Casimir energy of a dilute dielectric cylinder. The method is very transparent, and sheds light on the reason the resulting energy vanishes.

Citations

• Systematics of the relationship between vacuum energy calculations and heat-kernel coefficients

Cited by

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