Dispersion forces between an atom and a perfectly conducting wedge

Mendes, T. N. C.; Rosa, F. S. S.; Tenório, André; Farina, C.

doi:10.1088/1751-8113/41/16/164029

Cited by 13 publications

(14 citation statements)

References 26 publications

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“…using the general recursion equation (J ν = J ν (x)): 12) as well as the integral formula 13) which holds when J mp (λ ms a) = 0. It is however simpler to go via the axial energy flux P , given as 14) where dA = rdrdθ is the cross-sectional area element, and where…”

Section: )mentioning

confidence: 99%

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Electrodynamic Casimir effect in a medium-filled wedge

2009

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We re-examine the electrodynamic Casimir effect in a wedge defined by two perfect conductors making dihedral angle α = π/p. This system is analogous to the system defined by a cosmic string. We consider the wedge region as filled with an azimuthally symmetric material, with permittivity/permeability ε1, µ1 for distance from the axis r < a, and ε2, µ2 for r > a. The results are closely related to those for a circular-cylindrical geometry, but with non-integer azimuthal quantum number mp. Apart from a zero-mode divergence, which may be removed by choosing periodic boundary conditions on the wedge, and may be made finite if dispersion is included, we obtain finite results for the free energy corresponding to changes in a for the case when the speed of light is the same inside and outside the radius a, and for weak coupling, |ε1 − ε2| ≪ 1, for purely dielectric media. We also consider the radiation produced by the sudden appearance of an infinite cosmic string, situated along the cusp line of the pre-existing wedge.

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Section: )mentioning

confidence: 99%

“…Local Casimir stresses were examined by Saharian and co-workers [10,11,12]. Rosa and collaborators studied the interaction of an atom with a wedge [13,14], the situation under which the closely related Casimir-Polder force was investigated by Sukenik et al some years ago [15]. That interaction was first worked out by Barton [16].…”

Section: Introductionmentioning

confidence: 99%

Electrodynamic Casimir effect in a medium-filled wedge

2009

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“…It is well known that field theories with the presence of boundary conditions is a subject with a wide range of application in several branches of physics. We highlight, the phea e-mail: luizhenriqueunifei@yahoo.com.br b e-mail: andsogueira@hotmail.com c e-mail: eversonhr@gmail.com d e-mail: fbarone@unifei.edu.br (corresponding author) nomena related to the presence of material boundaries in field theories [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47], just to mention a few examples. An alternative approach to this kind of problem is the study of models with fields coupled to external potencials defined along surfaces [31,[48][49][50][51][52][53][54]56].…”

Section: Introductionmentioning

confidence: 99%

Dirichlet boundary condition for the Lee–Wick-like scalar model

Borges

Nogueira²,

Rodrigues

et al. 2020

Eur. Phys. J. C

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Lee–Wick-like scalar model near a Dirichlet plate is considered in this work. The modified propagator for the scalar field due to the presence of a Dirichlet boundary is computed, and the interaction between the plate and a point-like scalar charge is analysed. The non-validity of the image method is investigated and the results are compared with the corresponding ones obtained for the Lee–Wick gauge field and for the standard Klein–Gordon field.

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“…In such scales, dispersive forces become very important and, consequently, much effort has been made in better understanding the role played by these forces. Many papers have been dedicated recently to the problem of atoms interacting with different surfaces, see [1] − [8] and references therein, to mention just a few.…”

Section: Introductionmentioning

confidence: 99%

Sommerfeld's Image Method in the Calculation of Van Der Waals Forces

Souza¹,

Kort-Kamp²,

Sigaud³

et al. 2012

Int. J. Mod. Phys. Conf. Ser.

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We show how the image method can be used together with a recent method developed by C. Eberlein and R. Zietal to obtain the dispersive van der Waals interaction between an atom and a perfectly conducting surface of arbitrary shape. We discuss in detail the case of an atom and a semiinfinite conducting plane. In order to employ the above procedure to this problem it is necessary to use the ingenious image method introduced by Sommerfeld more than one century ago, which is a generalization of the standard procedure. Finally, we briefly discuss other interesting situations that can also be treated by the joint use of Sommerfeld's image technique and Eberlein-Zietal method.

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Dispersion forces between an atom and a perfectly conducting wedge

Cited by 13 publications

References 26 publications

Electrodynamic Casimir effect in a medium-filled wedge

Electrodynamic Casimir effect in a medium-filled wedge

Dirichlet boundary condition for the Lee–Wick-like scalar model

Sommerfeld's Image Method in the Calculation of Van Der Waals Forces

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