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LEADING- AND NEXT-TO-LEADING-ORDER LATERAL CASIMIR FORCE ON CORRUGATED SURFACES

2008/10/10 by Ines Cavero-Pelaez, INÉS CAVERO-PELÁEZ, Kimball A. Milton +5
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.1142/s0217751x09045339

published as Int.J.Mod.Phys.A24:1757-1763,2009 · 6 pages. Seventh Alexander Friedmann International Seminar on Gravitation and Cosmology

arxiv created 2008/10/10 · openalex publication_date 2009/04/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We derive explicit analytic expressions for the lateral force for two different configurations with corrugations, parallel plates and concentric cylinders. By making use of the multiple scattering formalism, we calculate the force for a scalar field under the influence of a delta-function potential that has sinusoidal dependence in one direction simulating the corrugations. By making a perturbative expansion in the amplitude of the corrugation we find the leading order for the corrugated concentric cylinders and the next-to-leading order for the corrugated parallel plates.

Citations