Weak and Repulsive Casimir Force in Piston Geometries

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dc.creatorSchaden, Martin
dc.creatorMateescu, Liviu
dc.date2007-05-23
dc.date.accessioned2026-07-07T08:03:00Z
dc.date.available2026-07-07T08:03:00Z
dc.descriptionWe study the Casimir force in piston-like geometries semiclassically. The force on the piston is finite and physical, but to leading semiclassical approximation depends strongly on the shape of the surrounding cavity. Whereas this force is attractive for pistons in a parallelepiped with flat cylinder head, for which the semiclassical approximation by periodic orbits is exact, this approximation to the force on the piston vanishes for a semi-cylindrical head and becomes repulsive for a cylinder of circular cross section with a hemispherical head. In leading semiclassical approximation the sign of the force is related to the generalized Maslov index of short periodic orbits between the piston and its casing.
dc.description8 pages, 2 figures, enhanced talk presented at APS March Meeting 2007
dc.identifierhttps://arxiv.org/abs/0705.3435
dc.identifierhttp://arxiv.org/abs/0705.3435
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129425
dc.subjectQuantum Physics
dc.subjectMesoscale and Nanoscale Physics
dc.titleWeak and Repulsive Casimir Force in Piston Geometries
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