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Generalized Lifshitz formula for a cylindrical plasma sheet in front of a plane beyond proximity force approximation

2006/11/24 by M. Bordag · 4 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #hep-th #quant-ph

paper · pdf · doi:10.1103/physrevd.75.065003

published as Phys.Rev.D75:065003,2007 · 35 pages, 8 figures

arxiv created 2006/11/24 · openalex publication_date 2007/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the interaction of a cylindrical graphene sheet with a dielectric half space and with a flat graphene sheet by a generalization of the method of functional determinants. We confirm the proximity force approximation (PFA) for these configurations and calculate the first correction beyond PFA. This can be considered as a generalization of the Lifshitz formula to such configurations.

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