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.

arXiv comment8 pages, 4 figures,references added, minor typos corrected

References in corpus (14)

• New Developments in the Casimir Effect
• Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates
• Repulsive Casimir forces
• Casimir effect for curved geometries: PFA validity limits
• The Dirichlet Casimir Problem
• Casimir force on a piston
• Attractive Casimir Forces in a Closed Geometry
• Casimir Energies in Light of Quantum Field Theory
• Casimir interaction of two plates inside a cylinder
• Casimir piston for massless scalar fields in three dimensions
• Comment on Repulsive Casimir Forces
• Zero-point energy of massless scalar fields in the presence of soft and semihard boundaries in D dimensions
• Rigorous proof of attractive nature for Casimir force of p-odd hypercube
• Casimir Energy of a Relativistic Perfect Fluid Confined to a D-dimensional Hypercube

Cited by in corpus (31)

• Repulsive Casimir effect from extra dimensions and Robin boundary conditions: from branes to pistons
• Casimir interaction of two plates inside a cylinder
• Thermal Casimir effect in ideal metal rectangular boxes
• Kaluza-Klein models as pistons
• Experiment, theory and the Casimir effect
• Finite Temperature Casimir Effect in Kaluza-Klein Spacetime
• Vacuum Stress and Closed Paths in Rectangles, Pistons, and Pistols
• Casimir interaction: pistons and cavity
• Conical Casimir Pistons with Hybrid Boundary Conditions
• Finite temperature Casimir effect in piston geometry and its classical limit
• The Casimir force of Quantum Spring in the (D+1)-dimensional spacetime
• 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
• Quantum Spring from the Casimir Effect
• Casimir Pistons for Massive Scalar Fields
• Slab Bag Fermionic Casimir effect, Chiral Boundaries and Vector Boson - Majorana Fermion Pistons
• Repulsive Casimir Force from Fractional Neumann Boundary Conditions
• Fermionic Casimir effect with helix boundary condition
• Casimir Effect under Quasi-Periodic Boundary Condition Inspired by Nanotubes
• Long range Casimir force induced by transverse electromagnetic modes
• Three dimensional Casimir piston for massive scalar fields
• Casimir effect with a helix torus boundary condition
• Finite temperature Casimir pistons for electromagnetic field with mixed boundary conditions and its classical limit
• Computing the Casimir energy using the point-matching method
• Quantum Spring
• Kaluza-Klein Pistons with non-Commutative Extra Dimensions
• Some Developments of the Casimir Effect in $p$-Cavity of $(D+1)$-Dimensional Spacetime
• Weak and Repulsive Casimir Force in Piston Geometries
• Casimir force between integrable and chaotic pistons
• Generalized Quantum Spring
• Equivalence of zeta function technique and Abel-Plana formula in regularizing the Casimir energy of hyper-rectangular cavities