Casimir pistons with hybrid boundary conditions

Abstract

The Casimir effect giving rise to an attractive or repulsive force between the configuration boundaries that confine the massless scalar field is reexamined for one to three-dimensional pistons in this paper. Especially, we consider Casimir pistons with hybrid boundary conditions, where the boundary condition on the piston is Neumann and those on other surfaces are Dirichlet. We show that the Casimir force on the piston is always repulsive, in contrast with the same problem where the boundary conditions are Dirichlet on all surfaces.

8 pages, 4 figures,references added, minor typos corrected

References in corpus (3)

• Casimir force on a piston
• Casimir interaction of two plates inside a cylinder
• Casimir piston for massless scalar fields in three dimensions

Cited by in corpus (13)

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• Finite temperature Casimir effect in piston geometry and its classical limit
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• Repulsive Casimir force at zero and finite temperature
• Quantum radiation force on a moving mirror with Dirichlet and Neumann boundary conditions at vacuum, finite temperature and coherent states
• Casimir Pistons for Massive Scalar Fields
• Repulsive Casimir Force from Fractional Neumann Boundary Conditions
• Finite temperature Casimir pistons for electromagnetic field with mixed boundary conditions and its classical limit
• Weak and Repulsive Casimir Force in Piston Geometries