Weak and Repulsive Casimir Force in Piston Geometries - Quantum PhysicsReport as inadecuate




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Abstract: We study the Casimir force in piston-like geometries semiclassically. Theforce on the piston is finite and physical, but to leading semiclassicalapproximation depends strongly on the shape of the surrounding cavity. Whereasthis force is attractive for pistons in a parallelepiped with flat cylinderhead, for which the semiclassical approximation by periodic orbits is exact,this approximation to the force on the piston vanishes for a semi-cylindricalhead and becomes repulsive for a cylinder of circular cross section with ahemispherical head. In leading semiclassical approximation the sign of theforce is related to the generalized Maslov index of short periodic orbitsbetween the piston and its casing.



Author: Martin Schaden, Liviu Mateescu

Source: https://arxiv.org/







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