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Title: Comment on 'Casimir force acting on magnetodielectric bodies embedded in media'

Abstract

It is shown that the Raabe and Welsch [Phys. Rev. A 71, 013814 (2005)] criticism of the Dzyaloshinskii-Lifshitz-Pitaevskii theory of the van der Waals-Casimir forces inside a medium is based on misunderstandings. It is explained why and at which conditions one can use the ''Minkowski-like'' stress tensor for calculations of the forces. The reason why, in my opinion, the approach of Raabe and Welsch is incorrect is discussed.

Authors:
 [1]
  1. Department of Physics, University of Trento and CNR-INFM BEC Center, I-38050 Povo, Trento (Italy)
Publication Date:
OSTI Identifier:
20787180
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.73.047801; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; CASIMIR EFFECT; ELECTROMAGNETIC FIELDS; STRESSES; TENSORS; VAN DER WAALS FORCES

Citation Formats

Pitaevskii, L. P.. Comment on 'Casimir force acting on magnetodielectric bodies embedded in media'. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.0.
Pitaevskii, L. P.. Comment on 'Casimir force acting on magnetodielectric bodies embedded in media'. United States. doi:10.1103/PHYSREVA.73.0.
Pitaevskii, L. P.. Sat . "Comment on 'Casimir force acting on magnetodielectric bodies embedded in media'". United States. doi:10.1103/PHYSREVA.73.0.
@article{osti_20787180,
title = {Comment on 'Casimir force acting on magnetodielectric bodies embedded in media'},
author = {Pitaevskii, L. P.},
abstractNote = {It is shown that the Raabe and Welsch [Phys. Rev. A 71, 013814 (2005)] criticism of the Dzyaloshinskii-Lifshitz-Pitaevskii theory of the van der Waals-Casimir forces inside a medium is based on misunderstandings. It is explained why and at which conditions one can use the ''Minkowski-like'' stress tensor for calculations of the forces. The reason why, in my opinion, the approach of Raabe and Welsch is incorrect is discussed.},
doi = {10.1103/PHYSREVA.73.0},
journal = {Physical Review. A},
number = 4,
volume = 73,
place = {United States},
year = {Sat Apr 15 00:00:00 EDT 2006},
month = {Sat Apr 15 00:00:00 EDT 2006}
}
  • In this Reply to the preceding Comment [Phys. Rev. A 73, 047801 (2006)], we summarize and maintain our position that the Casimir force should be calculated on the basis of the Lorentz force.
  • In a recent Comment [I. Brevik and S. A. Ellingsen, Phys. Rev. A 79, 027801 (2009)], our position that the calculation of dispersion forces should be based preferably on the Lorentz force (or, equivalently, on Maxwell's stress tensor) is put into question, and it is argued that one should resort to Minkowski's stress tensor instead. After sketching briefly our reasons for preferring the Lorentz force, we point out that by use of Minkowski's stress tensor additional, compensatory force components are included in the calculation, but inconsistently. We consider the electrostatic arguments given in support of Minkowski's tensor in the Commentmore » as unconvincing, and we point out that the issue of divergences raised in the Comment in the context of planar setups is not specific to Maxwell's stress tensor.« less
  • Within the framework of macroscopic quantum electrodynamics, general expressions for the Casimir force acting on linearly and causally responding magnetodielectric bodies that can be embedded in another linear and causal magnetodielectric medium are derived. Consistency with microscopic harmonic-oscillator models of the matter is shown. The theory is applied to planar structures, and proper generalizations of Casimir's and Lifshitz-type formulas are given.
  • Recently Yampol'skii et al.[Phys. Rev. A 82, 032511 (2010)] advocated that Lifshitz theory is not applicable when the characteristic wavelength of the fluctuating electromagnetic field, responsible for the thermal correction to the Casimir force, is larger than the size of the metal test bodies. It was claimed that this is the case in experiments which exclude Lifshitz theory combined with the Drude model. We calculate the wavelengths of the evanescent waves making the dominant contribution to the thermal correction and we find that they are much smaller than the sizes of the test bodies. The opposite conclusion obtained by themore » authors arose from confusion between propagating and evanescent waves.« less
  • Here, we present an estimate of the characteristic wavelengths of the evanescent modes, which define the main contribution to the thermal part of the Casimir force. This estimate is more precise than the one in the preceding Comment by Bimonte et al.[Phys. Rev. A 84, 036501 (2011)]. The wavelengths we derive are indeed smaller than the sizes of the interacting bodies. We also discuss the results of several experiments on the thermal effects in the Casimir force.