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The Casimir effect arises when long-ranged fluctuations are geometrically confined between two surfaces, leading to a macroscopic force. Traditionally, these forces have been observed in quantum systems and near critical points in classical…

Soft Condensed Matter · Physics 2017-01-19 Justin C. Burton , Juan-José Liétor-Santos

Charged massive matter fields of spin 0 and 1/2 are quantized in the presence of an external uniform magnetic field in a spatial region bounded by two parallel plates. The most general set of boundary conditions at the plates, that is…

High Energy Physics - Theory · Physics 2015-08-31 Yu. A. Sitenko

The Casimir force is calculated in the configuration of a spherical lens and a disc of finite radius covered by $Cu$ and $Au$ thin layers which was used in a recent experiment. The correction to the Casimir force due to finiteness of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Bordag , B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We present a simple formalism for the evaluation of the Casimir energy for two spheres and a sphere and a plane, in case of a scalar fluctuating field, valid at any separations. We compare the exact results with various approximation…

High Energy Physics - Theory · Physics 2007-05-23 Aurel Bulgac , Piotr Magierski , Andreas Wirzba

The search for non-Newtonian forces has been pursued following many different paths. Recently it was suggested that hypothetical chameleon interactions, which might explain the mechanisms behind dark energy, could be detected in a…

Instrumentation and Detectors · Physics 2015-05-08 Attaallah Almasi , Philippe Brax , Davide Iannuzzi , René I. P. Sedmik

For more than 35 years theorists have studied quantum or Casimir friction, which occurs when two smooth bodies move transversely to each other, experiencing a frictional dissipative force due to quantum electromagnetic fluctuations, which…

Quantum Physics · Physics 2016-05-17 K. A. Milton , J. S. Høye , I. Brevik

The Casimir force has been computed exactly for only a few simple geometries, such as infinite plates, cylinders, and spheres. We show that a parabolic cylinder, for which analytic solutions to the Helmholtz equation are available, is…

Quantum theory predicts the existence of the Casimir force between macroscopic bodies, due to the zero-point energy of electromagnetic field modes around them. This quantum fluctuation-induced force has been experimentally observed for…

Quantum Physics · Physics 2011-08-19 A. O. Sushkov , W. J. Kim , D. A. R. Dalvit , S. K. Lamoreaux

When comparing experimental results with theoretical predictions of the Casimir force, the accuracy of the theory is as important as the precision of experiments. Here we evaluate the Casimir force when finite conductivity of the reflectors…

Quantum Physics · Physics 2009-11-07 Cyriaque Genet , Astrid Lambrecht , Serge Reynaud

We establish strict upper limits for the Casimir interaction between multilayered structures of arbitrary dielectric or diamagnetic materials. We discuss the appearance of different power laws due to frequency-dependent material constants.…

Quantum Physics · Physics 2009-11-10 Carsten Henkel , Karl Joulain

The surface impedance approach is discussed in connection with the precise calculation of the Casimir force between metallic plates. It allows to take into account the nonlocal connection between the current density and electric field…

Quantum Physics · Physics 2009-11-10 R. Esquivel , V. Svetovoy

To study the critical Casimir force between chemically structured boundaries immersed in a binary mixture at its demixing transition, we consider a strip of Ising spins subject to alternating fixed spin boundary conditions. The system…

Statistical Mechanics · Physics 2016-01-21 Jerome Dubail , Raoul Santachiara , Thorsten Emig

We address several different Casimir experiments where theory and experiment disagree. First out is the classical Casimir force measurement between two metal half spaces; here both in the form of the torsion pendulum experiment by Lamoreaux…

Quantum Physics · Physics 2009-10-28 Bo E. Sernelius

We study critical Casimir forces between planar walls and geometrically structured substrates within mean-field theory. As substrate structures, crenellated surfaces consisting of periodic arrays of rectangular crenels and merlons are…

Soft Condensed Matter · Physics 2015-05-27 M. Tröndle , L. Harnau , S. Dietrich

The Casimir effect results from alterations of the zero-point electromagnetic energy introduced by boundary-conditions. For ferromagnetic layers separated by vacuum (or a dielectric) such boundary-conditions are influenced by the…

Quantum Physics · Physics 2009-11-07 G. Metalidis , P. Bruno

The Casimir effect for Dirac as well as for scalar charged particles is influenced by external magnetic fields. It is also influenced by finite temperature. Here we consider the Casimir effect for a charged scalar field under the combined…

High Energy Physics - Theory · Physics 2007-05-23 M. V. Cougo-Pinto , C. Farina , M. R. Negrao , A. Tort

The Casimir effect for a three-parallel-plate system at finite temperature within the frame of five-dimensional Randall-Sundrum models is studied. In the case of Randall-Sundrum model involving two branes we find that the Casimir force…

High Energy Physics - Theory · Physics 2015-05-13 Hongbo Cheng

We address three different problematic Casimir experiments in this work. The first is the classical Casimir force measured between two metal half spaces; here in the form of the Casimir pressure measurement between a gold sphere and a gold…

Quantum Physics · Physics 2009-10-27 Bo E. Sernelius

In this work the Casimir effect is studied for scalar fields in the presence of boundaries and under the influence of arbitrary smooth potentials of compact support. In this setting, piston configurations are analyzed in which the piston is…

High Energy Physics - Theory · Physics 2013-02-27 Matthew Beauregard , Guglielmo Fucci , Klaus Kirsten , Pedro Morales

Casimir effects manifests that, the two closely paralleled plates, generally produce a macroscopic attractive force due to the quantum vacuum fluctuations of the electromagnetic fields. The derivation of the force requires an {\it…

High Energy Physics - Theory · Physics 2016-07-18 Gao Xianlong , Kelin Wang