Casimir–Polder Effect for a Perfectly Conducting Wedge

Brevik, Iver; Lygren, M.; Marachevsky, Valery N.

doi:10.1006/aphy.1998.5814

Cited by 40 publications

(62 citation statements)

References 7 publications

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“…This limit is also obtained when p → 1, for when Ω = π we are describing a perfectly conducting infinite plane. A very similar calculation gives the result for an isotropic atom, α = α1, which was first given in [84]:…”

Section: (715)mentioning

confidence: 69%

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Repulsive Casimir and Casimir–Polder forces

Milton¹,

Abalo²,

Parashar³

et al. 2012

J. Phys. A: Math. Theor.

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Abstract. Casimir and Casimir-Polder repulsion have been known for more than 50 years. The general "Lifshitz" configuration of parallel semi-infinite dielectric slabs permits repulsion if they are separated by a dielectric fluid that has a value of permittivity that is intermediate between those of the dielectric slabs. This was indirectly confirmed in the 1970s, and more directly by Capasso's group recently. It has also been known for many years that electrically and magnetically polarizable bodies can experience a repulsive quantum vacuum force. More amenable to practical application are situations where repulsion could be achieved between ordinary conducting and dielectric bodies in vacuum. The status of the field of Casimir repulsion with emphasis on some recent developments will be surveyed. Here, stress will be placed on analytic developments, especially of Casimir-Polder (CP) interactions between anisotropically polarizable atoms, and CP interactions between anisotropic atoms and bodies that also exhibit anisotropy, either because of anisotropic constituents, or because of geometry. Repulsion occurs for wedge-shaped and cylindrical conductors, provided the geometry is sufficiently asymmetric, that is, either the wedge is sufficiently sharp or the atom is sufficiently far from the cylinder.Casimir Repulsion 2

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Section: (715)mentioning

confidence: 69%

“…For the case of an isotropic atom, this was considered by Brevik, Lygren, and Marachevsky [84]. (This followed on earlier work by Brevik and Lygren [85] and DeRaad and Milton [54].)…”

Section: Wedge Calculationmentioning

confidence: 99%

Repulsive Casimir and Casimir–Polder forces

Milton¹,

Abalo²,

Parashar³

et al. 2012

J. Phys. A: Math. Theor.

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show abstract

“…A lot of other systems can be handled by this method. We challenge the interested reader, for instance, to reobtain the non-retarded force between an atom and a conducting wedge with aperture angle equal to π/n, with n a positive integer, first obtained by Mendes and collaborators 70 (the retarded Casimir-Polder interaction between an atom and a conducting wedge had already been calculated by Brevik and collaborators 71 ).…”

Section: Conclusion and Final Remarksmentioning

confidence: 99%

Image method in the calculation of the van der Waals force between an atom and a conducting surface

Souza

Kort-Kamp

Sigaud

et al. 2013

American Journal of Physics

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Initially, we make a detailed historical survey of van der Waals forces, collecting the main references on the subject. Then, we review a method recently proposed by Eberlein and Zietal to compute the dispersion van der Waals interaction between a neutral but polarizable atom and a perfectly conducting surface of arbitrary shape. This method has the advantage of relating the quantum problem to a corresponding classical one in electrostatics so that all one needs is to compute an appropriate Green function. We show how the image method of electrostatics can be conveniently used together with the Eberlein and Zietal mehtod (when the problem admits an image solution). We then illustrate this method in a couple of simple but important cases, including the atom-sphere system. Particularly, in our last example, we present an original result, namely, the van der Waals force between an atom and a boss hat made of a grounded conducting material.

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“…1a and was considered in a number of publications. [1][2][3][4][5] The governing equation for the Fourier transform of Green's function Γ(x, x ) is…”

Section: Extracts From the Classic Theory For The Perfectly Conductinmentioning

confidence: 99%

“…1,2 Various embodiments of the wedge with perfectly conducting walls were treated by Brevik and co-workers [3][4][5] and others. 6,7 More recently a wedge intercut by a cylindrical shell was considered by Nesterenko and co-workers.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Casimir Effect in Wedge Geometry and the Energy-Momentum Tensor in Media

Brevik

Ellingsen

Milton

2010

Int. J. Mod. Phys. A

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The wedge geometry closed by a circular-cylindrical arc is a nontrivial generalization of the cylinder, which may have various applications. If the radial boundaries are not perfect conductors, the angular eigenvalues are only implicitly determined. When the speed of light is the same on both sides of the wedge, the Casimir energy is finite, unlike the case of a perfect conductor, where there is a divergence associated with the corners where the radial planes meet the circular arc. We advance the study of this system by reporting results on the temperature dependence for the conducting situation. We also discuss the appropriate choice of the electromagnetic energy-momentum tensor.

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Casimir–Polder Effect for a Perfectly Conducting Wedge

Cited by 40 publications

References 7 publications

Repulsive Casimir and Casimir–Polder forces

Repulsive Casimir and Casimir–Polder forces

Image method in the calculation of the van der Waals force between an atom and a conducting surface

Electromagnetic Casimir Effect in Wedge Geometry and the Energy-Momentum Tensor in Media

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