Electromagnetic fluctuations in matter and molecular (Van-der- Waals) forces between them

Barash, Yu. S.; Ginzburg, Vitalii L.

doi:10.3367/ufnr.0116.197505a.0005

Cited by 118 publications

(60 citation statements)

References 16 publications

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“…We use the argument theorem to obtain the Casimir energy [2,14] so that, after ω-rotation to the imaginary axis: ω → iζ, we have (for the properties of δ (or Z) along the imaginary axis see [10,11,15])…”

Section: The Casimir Forcementioning

confidence: 99%

Repulsive Casimir force: Sufficient conditions

Rosa

Lambrecht

2010

Phys. Rev. D

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In this paper the Casimir energy of two parallel plates made by materials of different penetration depth and no medium in between is derived. We study the Casimir force density and derive analytical constraints on the two penetration depths which are sufficient conditions to ensure repulsion. Compared to other methods our approach needs no specific model for dielectric or magnetic material properties and constitutes a complementary analysis. *

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Section: The Casimir Forcementioning

confidence: 99%

Repulsive Casimir force: Sufficient conditions

Rosa

Lambrecht

2010

Phys. Rev. D

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“…Moreover, following the usual procedure of statistical mechanics, it is possible to identify Downloaded by [University of Cambridge] at 22:35 16 June 2016 the averaging employed in equations (6) and (7) with the ensemble averaging (A) = Tr {Ap}. (9) Due to the van der Waals interaction, the Hamiltonian is modified by the symmetrized interaction term ~f~x = ~ -}(p(t) . E(t) + E(t) .p(t) ).…”

Section: Application Of Linear Response Theorymentioning

confidence: 99%

“…A very comprehensive and general analysis of the interactions between macroscopic dielectric bodies is due to Lifshitz [8]. The theory presented by Lifshitz is very general, albeit very cumbersome and lacking physical intuitiveness (see also the review by Barash and Ginzburg [9]). The work of Lifshitz was subsequently generalized by Dzyaloshinskii and Pitaevskii [10,11], who used techniques of the quantum field theory.…”

Section: Introductionmentioning

confidence: 99%

On the van der Waals interaction between an atom and a dielectric medium

Kryszewski

1993

Molecular Physics

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To cite this article: Stanisł Aw Kryszewski (1993) On the van der Waals interaction between an atom and a dielectric medium, Molecular Physics, 78:5, 1225-1246,The energy of the van der Waals interaction between a neutral atom and a dielectric medium is rederived. The new method of derivation uses only linear response theory and the concepts of the classical eleetrodynamics. It is shown that there is no need to invoke quantum electrodynamic ideas. The presented approach is aimed at providing the easy-to-use expressions necessary to interpret recent experiments. The derived expression for the energy of the van der Waals interaction is valid for any retardation times, viz., for any distances between an atom and the dielectric which are large compared with the characteristic dimensions or the crystalline lattice of the dielectric medium. Several limiting cases, such as for negligible and large retardation, are considered. The connection with intermolecular potentials is also established. Finally, explicit expressions for the van der Waals energy are given for some specific analytical models of the atomic polarizability and the dielectric constant of the medium considered.

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“…The dispersion force between macroscopic bodies is most frequently described by the Lifshitz formula (LF) [4]. All other cases can be obtained from here.…”

Section: Introductionmentioning

confidence: 99%

“…As a result, the validity of the LF with Drude permittivity inserted, could be verified. An early work in this direction was [4]; more recent are [9], [10], [11], [12], [13].…”

Section: Introductionmentioning

confidence: 99%

Casimir and Casimir-Polder forces with dissipation from first principles

Bordag

2017

Phys. Rev. A

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We consider Casimir-Polder and Casimir forces with finite dissipation by coupling heat baths to the dipoles introducing, this way, dissipation from 'first principles'. We derive a representation of the free energy as an integral over real frequencies, which can be viewed as an generalization of the 'remarkable formula' introduced by Ford et. al. 1985. For instance, we obtain a nonperturbative representation for the atom-atom and atom-wall interactions. We investigate several limiting cases. From the limit T → 0 we show that the third law of thermodynamics cannot be violated within the given approach, where the dissipation parameter cannot depend on temperature 'by construction'. We conclude, that the given approach is insufficient to resolve the thermodynamic puzzle connected with the Drude model when inserted into the Lifshitz formula. Further we consider the transition to the Matsubara representation and discuss modifications of the contribution from the zeroth Matsubara frequency.

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Electromagnetic fluctuations in matter and molecular (Van-der- Waals) forces between them

Cited by 118 publications

References 16 publications

Repulsive Casimir force: Sufficient conditions

Repulsive Casimir force: Sufficient conditions

On the van der Waals interaction between an atom and a dielectric medium

Casimir and Casimir-Polder forces with dissipation from first principles

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