Geometry Dependence of Casimir Forces beyond the Proximity Approximation

dc.creatorEmig, Thorsten
dc.date2003-11-19
dc.date.accessioned2026-07-07T02:54:51Z
dc.date.available2026-07-07T02:54:51Z
dc.descriptionCasimir interactions between macroscopic objects are strongly influenced by their geometrical features as shape and orientation as well as by their material properties. The effect of geometry is commonly obtained from the proximity approximation (PA). Here we present a path integral quantization for the electromagnetic field in the presence of deformed metallic surfaces. From the resulting effective action the Casimir force between the surfaces can be calculated without the PA. For corrugated surfaces the force is obtained both perturbatively for small deformations and by a numerical approach for general deformation amplitudes. For general dielectric materials with flat surfaces a path integral based derivation of the Lifshitz theory is outlined, pointing towards a possible approach to study the combined effect of deformations and material properties.
dc.description10 pages, 3 figures. Proceedings of QFEXT03
dc.identifierhttps://arxiv.org/abs/cond-mat/0311465
dc.identifierhttp://arxiv.org/abs/cond-mat/0311465
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22729
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleGeometry Dependence of Casimir Forces beyond the Proximity Approximation
dc.typetext

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