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We calculate the Casimir energy of a massless scalar field in a cavity formed by nearby parallel plates orbiting a rotating spherical body surrounded by quintessence, investigating the influence of the gravitational field on that energy, at…

High Energy Physics - Theory · Physics 2016-12-21 V. B. Bezerra , M. S. Cunha , L. F. F. Freitas , C. R. Muniz

In this study, we examine the role of the repulsive Casimir force in counteracting the gravitational contraction of a thin spherically symmetric shell. Our main focus is to explore the possibility of achieving a stable balanced…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Leonardo Bellinato Giacomelli , Benjamin Koch , Iva Lovrekovic , Angel Rincon

We investigate the Casimir-Polder force acting on a polarizable microparticle in the geometry of a straight cosmic string. In order to develop this analysis we evaluate the electromagnetic field Green tensor on the imaginary frequency axis.…

High Energy Physics - Theory · Physics 2011-12-01 A. A. Saharian , A. S. Kotanjyan

We discuss repulsive Casimir forces between dielectric materials with non trivial magnetic susceptibility. It is shown that considerations based on naive pair-wise summation of Van der Waals and Casimir Polder forces may not only give an…

Quantum Physics · Physics 2009-11-07 O. Kenneth , I. Klich , A. Mann , M. Revzen

We investigate repulsive Casimir force between slabs containing left-handed materials with controllable electromagnetic properties. The sign of Casimir force is determined by the electric and magnetic properties of the materials, and it is…

Quantum Physics · Physics 2008-03-25 Yaping Yang , Ran Zeng , Shutian Liu , Hong Chen , Shiyao Zhu

Like Casimir's original force between conducting plates in vacuum, Casimir forces are usually attractive. But repulsive Casimir forces can be achieved in special circumstances. These might prove useful in nanotechnology. We give examples of…

High Energy Physics - Theory · Physics 2018-03-09 K. A. Milton , E. K. Abalo , Prachi Parashar , Nima Pourtolami , Iver Brevik , S. A. Ellingsen

We study the situation where two point like mirrors are placed in the vacuum state of a scalar field in a two-dimensional spacetime. Describing the scattering upon the mirrors by transmittivity and reflectivity functions obeying unitarity,…

Quantum Physics · Physics 2023-04-14 Marc-Thierry Jaekel , Serge Reynaud

Forces defined in the framework of optical reference geometry are introduced in the case of stationary and axially symmetric Kerr black-hole and naked-singularity spacetimes with a repulsive cosmological constant. Properties of the forces…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jiri Kovar , Zdenek Stuchlik

The Casimir effect, arising from vacuum quantum fluctuations, plays a fundamental role in the development of modern quantum electrodynamics. In parallel, the field of condensed matter has flourished through the discovery of various…

Quantum Physics · Physics 2025-10-01 Zixuan Dai , Qing-Dong Jiang

We compute the one loop Casimir energy of an interacting scalar field in a compact noncommutative space of $R^{1,d}\times T^2_\theta$, where we have ordinary flat $1+d$ dimensional Minkowski space and two dimensional noncommuative torus. We…

High Energy Physics - Theory · Physics 2010-02-05 Soonkeon Nam

We investigate the thermal Casimir effect of a massless scalar field for two parallel plates moving in the equatorial orbit in Kerr space-time. Under the assumption that the typical cavity size is much smaller than the orbital radius,…

Quantum Physics · Physics 2017-10-10 Anwei Zhang

We examine the lateral Casimir-Polder force acting on a circular rotating emitter near a dielectric plane surface. As the circular motion breaks time-reversal symmetry, the spontaneous emission in a direction parallel to the surface is in…

Quantum Physics · Physics 2018-03-21 Ricardo Oude Weernink , Pablo Barcellona , Stefan Yoshi Buhmann

In a recent paper [arXiv:0904.2904] using a conjecture it is shown how one can calculate the effect of a weak stationary gravitational field on vacuum energy in the context of Casimir effect in an external gravitational field treated in 1+3…

General Relativity and Quantum Cosmology · Physics 2013-05-30 B. Nazari , M. Nouri-Zonoz

We study the Casimir effect in axion electrodynamics. A finite $\theta$-term affects the energy dispersion relation of photon if $\theta$ is time and/or space dependent. We focus on a special case with linearly inhomogeneous $\theta$ along…

High Energy Physics - Theory · Physics 2019-08-21 Kenji Fukushima , Shota Imaki , Zebin Qiu

The Casimir force between two parallel thick plates, one perfectly dielectric, the other purely magnetic, has been calculated long ago by Boyer [T. H. Boyer, Phys. Rev. A {\bf 9}, 2078 (1974)]. Its most characteristic property is that it is…

Quantum Physics · Physics 2018-08-15 Johan S. Høye , Iver Brevik

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

The vacuum expectation value of the energy-momentum tensor and the Casimir forces are investigated for a massive scalar field with an arbitrary curvature coupling parameter in the geometry of two parallel plates, on the background of de…

High Energy Physics - Theory · Physics 2011-12-01 A. A. Saharian

We investigate the Casimir force between two dissimilar plane mirrors the material properties of which are described by Drude or Lorentz models. We calculate analytically the short and long distance asymptote of the force and relate its…

Quantum Physics · Physics 2008-12-18 A. Lambrecht , I. G. Pirozhenko

We study the influence of a background uniform magnetic field and boundary conditions on the vacuum of a quantized charged massive scalar matter field confined between two parallel plates; the magnetic field is directed orthogonally to the…

High Energy Physics - Theory · Physics 2015-06-18 Yu. A. Sitenko , S. A. Yushchenko

We derive exact expressions for the Casimir scalar interaction energy between media-separated eccentric dielectric cylinders and for the media-separated cylinder-plane geometry using a mode-summation approach. Similarly to the…

Quantum Physics · Physics 2011-02-28 F. C. Lombardo , F. D. Mazzitelli , P. I. Villar , D. A. R. Dalvit
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