Comment on "Casimir energies with finite-width mirrors"

Abstract

We comment on a recent publication [1] by Fosco, Lombardo and Mazzitelli on Casimir energies for material slabs (`finite width mirrors') and report a discrepancy between results obtained there for a single mirror and some previous calculations. We provide a simple consistency check which proves that the method used in [1] is not reliable when applied to approximations of piecewise constant profile of the mirror. We also present an alternative method for calculation of the Casimir energy in such systems based on our recent work. Our results coincide both with perturbation theory and with some older \cite{Bordag'95} and more recent \cite{Vassilevitch'08} calculations, but differ from those of [1].

Published version, 4 pages

References in corpus (9)

• Casimir and van der Waals force between two plates or a sphere (lens) above a plate made of real metals
• Casimir force in absorbing multilayers
• Casimir Effect: The Classical Limit
• Casimir Energies and Pressures for $\delta$-function Potentials
• Path integral quantization of electrodynamics in dielectric media
• Quantum corrections to the noncommutative kink
• Field of homogeneous Plane in Quantum Electrodynamics
• Casimir energies with finite-width mirrors
• Parity violating cylindrical shell in the framework of QED

Cited by in corpus (3)

• Derivative expansion for the boundary interaction terms in the Casimir effect: generalized $\delta$-potentials
• Casimir type effects for scalar fields interacting with material slabs
• Casimir energy of finite width mirrors: renormalization, self-interaction limit and Lifshitz formula