Casimir interaction: pistons and cavity

Abstract

The energy of a perfectly conducting rectangular cavity is studied by making use of pistons' interactions. The exact solution for a 3D perfectly conducting piston with an arbitrary cross section is being discussed.

10 pages, 2 figures, latex2e

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• Classical and fluctuation-induced electromagnetic interactions in micronscale systems: designer bonding, antibonding, and Casimir forces
• Finite Temperature Casimir Effect in Kaluza-Klein Spacetime
• The Casimir effect: medium and geometry
• Vacuum Stress and Closed Paths in Rectangles, Pistons, and Pistols
• Finite temperature Casimir effect in piston geometry and its classical limit
• Repulsive Casimir force at zero and finite temperature
• Long range Casimir force induced by transverse electromagnetic modes
• Three dimensional Casimir piston for massive scalar fields
• One-loop omega-potential of quantum fields with ellipsoid constant-energy surface dispersion law
• Finite temperature Casimir pistons for electromagnetic field with mixed boundary conditions and its classical limit
• Computing the Casimir energy using the point-matching method
• Stochastic Quantization and Casimir Forces
• Some Developments of the Casimir Effect in $p$-Cavity of $(D+1)$-Dimensional Spacetime
• Casimir force between integrable and chaotic pistons
• Stochastic Quantization and Casimir Forces: Pistons of Arbitrary Cross Section