Vacuum energy of a spherical plasma shell

2008/01/14 by M. Bordag, Nail Khusnutdinov, N. Khusnutdinov · 1 citation
Engineering · Physics and Astronomy · #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #Thermal Radiation and Cooling Technologies #hep-th #quant-ph

paper · pdf · doi:10.1103/physrevd.77.085026

published as Phys.Rev.D77:085026,2008 · 16 pages, 3 figures, submitted to Phys.Rev.D

arxiv created 2008/01/14 · openalex publication_date 2008/04/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the vacuum energy of the electromagnetic field interacting with a spherical plasma shell together with a model for the classical motion of the shell. We calculate the heat kernel coefficients, especially that for the TM mode, and carry out the renormalization by redefining the parameters of the classical model. It turns out that this is possible and results in a model which, in the limit of the plasma shell becoming an ideal conductor, reproduces the vacuum energy found by Boyer in 1968.

Citations

• Ground state energy for a penetrable sphere and for a dielectric ball
• Quantum Electromagnetic Zero-Point Energy of a Conducting Spherical Shell and the Casimir Model for a Charged Particle
• New Developments in the Casimir Effect
• Generalized Lifshitz formula for a cylindrical plasma sheet in front of a plane beyond proximity force approximation
• The Casimir effect: Recent controversies and progress

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