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The zero-temperature Casimir-Lifshitz force between two plates moving parallel to each other at arbitrary constant speed was found in [New J. Phys. 11, 033035 (2009)]. The solution is here generalized to the case where the plates are at…

Quantum Physics · Physics 2009-05-11 T. G. Philbin , U. Leonhardt

This thesis consists on two separate parts. In the first part, we discuss about the nature of the Casimir effect as the response of a fluctuant medium to the breakdown of the translation symmetry because the presence of intrusions in that…

Quantum Physics · Physics 2012-07-05 Pablo Rodriguez-Lopez

We show the influence of surface plasmons on the Casimir effect between two plane parallel metallic mirrors at arbitrary distances. Using the plasma model to describe the optical response of the metal, we express the Casimir energy as a sum…

Quantum Physics · Physics 2009-11-11 F. Intravaia , A. Lambrecht

We discuss the Casimir effect for massless scalar fields subject to the Dirichlet boundary conditions on the parallel plates at finite temperature in the presence of one fractal extra compactified dimension. We obtain the Casimir energy…

High Energy Physics - Theory · Physics 2015-05-30 Hongbo Cheng

We present detailed calculations for the Casimir force between a plane and a nanostructured surface at finite temperature in the framework of the scattering theory. We then study numerically the effect of finite temperature as a function of…

Quantum Physics · Physics 2015-01-27 R. Guérout , J. Lussange , H. B. Chan , A. Lambrecht , S. Reynaud

We study the Casimir effect in a system composed of two Weyl semimetals (WSMs) separated by a gap filled with a chiral medium. We calculate the optical response of the material to chiral photons in order to calculate the Casimir force. We…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 M. Belén Farias , Alexander A. Zyuzin , Thomas L. Schmidt

In this paper aiming to obtain the Casimir energy between a sinusoidally corrugated sphere and a plate, we first present a derivation of the sphere-plate Casimir force obtained by applying proximity force approximation (PFA). One may…

Other Condensed Matter · Physics 2014-04-08 M. R. Setare , A. Seyedzahedi

The Casimir effect for parallel plates in the presence of compactified universal extra dimensions within the frame of Kaluza-Klein theory is analyzed. Having regularized and discussed the expressions of Casimir force in the limit, we show…

High Energy Physics - Theory · Physics 2008-11-26 Hongbo Cheng

We calculate the Casimir force between parallel plates for a massless scalar field. When adding the energy of normal modes, we avoid infinities by using a discrete spacetime lattice; however, this approach proves ineffective as long as both…

In this article we compute the Casimir force between two finite-width mirrors at finite temperature, working in a simplified model in 1+1 dimensions. The mirrors, considered as dissipative media, are modeled by a continuous set of harmonic…

Quantum Physics · Physics 2015-05-30 Fernando C. Lombardo , Francisco D. Mazzitelli , Adrian E. Rubio Lopez

We investigate the Casimir pressure between two parallel plates made of magnetic materials at nonzero temperature. It is shown that for real magnetodielectric materials only the magnetic properties of ferromagnets can influence the Casimir…

Quantum Physics · Physics 2015-05-14 G. L. Klimchitskaya , B. Geyer , V. M. Mostepanenko

We provide further evidence for the nontrivial interplay between geometry and temperature in the Casimir effect. We investigate the temperature dependence of the Casimir force between an inclined semi-infinite plate above an infinite plate…

High Energy Physics - Theory · Physics 2009-11-06 Alexej Weber , Holger Gies

Vacuum fluctuation-induced interactions between macroscopic metallic objects result in an attractive force between them, a phenomenon known as the Casimir effect. This force is the result of both plasmonic and photonic modes. For very thin…

Quantum Physics · Physics 2023-05-24 Tao Gong , Inigo Liberal , Benjamin Spreng , Miguel Camacho , Nader Engheta , Jeremy N. Munday

The high-temperature aspects of the Casimir force between two neutral conducting walls are studied. The mathematical model of "inert" ideal-conductor walls, considered in the original formulations of the Casimir effect, is based on the…

Statistical Mechanics · Physics 2016-08-31 Bernard Jancovici , Ladislav Samaj

Using numerical analytic continuation, we compute the Zeta function for the Casimir Effect for circular geometries in 2+1 dimensions. After subtraction of the simple pole of the zeta function, essentially MS renormalization, we find the…

High Energy Physics - Theory · Physics 2022-03-24 Daniel Davies

We calculate the exact Casimir interaction energy between two perfectly conducting, very long, eccentric cylindrical shells using a mode summation technique. Several limiting cases of the exact formula for the Casimir energy corresponding…

Quantum Physics · Physics 2011-07-19 F. D. Mazzitelli , D. A. R. Dalvit , F. C. Lombardo

Using functional integral methods, we study the Casimir effect for the case of two infinite parallel plates in the QED vacuum, with (different) perfect electromagnetic boundary conditions applied to both plates. To enforce these boundary…

High Energy Physics - Theory · Physics 2024-07-01 David Dudal , Aaron Gobeyn , Thomas Oosthuyse , Sebbe Stouten , David Vercauteren

The lateral Casimir force acting between a sinusoidally corrugated gold plate and sphere was calculated and measured. The experimental setup was based on the atomic force microscope specially adapted for the measurement of the lateral…

Quantum Physics · Physics 2009-11-07 F. Chen , U. Mohideen , G. L. Klimchitskaya , V. M. Mostepanenko

In this study, we consider motion of the massive and charged Bose gas trapped in electric and magnetic fields between two parallel plates in the $x-y$ plane that are separated by a distance $d$ in the $z$ direction. We derive analytical…

Quantum Physics · Physics 2015-08-06 Seyit Deniz Han , Ekrem Aydiner

The Casimir interaction between one-dimensional metallic objects (cylinders, wires) displays unconventional features. Here we study the orientation dependence of this interaction by computing the Casimir energy between two inclined…

Quantum Physics · Physics 2014-10-30 P. Rodriguez-Lopez , T. Emig