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Casimir effect is the attractive force which acts between two plane parallel, closely spaced, uncharged, metallic plates in vacuum. This phenomenon was predicted theoretically in 1948 and reliably investigated experimentally only in recent…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , V. M. Mostepanenko

We discuss the Casimir effect for boundary conditions involving perfect electromagnetic conductors (PEMCs). Based on the corresponding reciprocal Green's tensor we construct the Green's tensor for two perfectly reflecting plates with…

Quantum Physics · Physics 2018-05-09 Stefan Rode , Robert Bennett , Stefan Yoshi Buhmann

In order to explore repulsive Casimir/van der Waals forces between solid materials with liquid as the intervening medium, we analyze dielectric data for a wide range of materials as for example PTFE, polystyrene, silica and more than twenty…

Materials Science · Physics 2015-05-18 P. J. van Zwol , G. Palasantzas

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

An exact calculation of electromagnetic scattering from a perfectly conducting parabolic cylinder is employed to compute Casimir forces in several configurations. These include interactions between a parabolic cylinder and a plane, two…

The Casimir repulsion between a metal and a dielectric suspended in a liquid has been thoroughly studied in recent experiments. In the present paper we consider surface modes in three layered systems modeled by dielectric functions…

Quantum Physics · Physics 2009-11-02 I. Pirozhenko , A. Lambrecht

Casimir forces in quantum electrodynamics emerge between microscopic metallic objects because of the confinement of the vacuum electromagnetic fluctuations occurring even at zero temperature. Their generalization at finite temperature and…

The dependence of the Casimir force on material properties is important for both future applications and to gain further insight on its fundamental aspects. Here we derive a general theory of the Casimir force for low-conducting compounds,…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. G. Galkina , B. A. Ivanov , Sergey E. Savel'ev , V. A. Yampol'skii , Franco Nori

The general perturbative expression for the lateral Casimir force between two plates covered by longitudinal corrugations of arbitrary shape is obtained. This expression is applicable for corrugation periods larger than the separation…

Quantum Physics · Physics 2009-11-10 E. V. Blagov , G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

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…

The finite conductivity corrections to the Casimir force in two configurations are calculated in the third and fourth orders in relative penetration depth of electromagnetic zero oscillations into the metal. The obtained analytical…

Quantum Physics · Physics 2009-10-31 V. B. Bezerra , G. L. Klimchitskaya , V. M. Mostepanenko

We consider the Casimir interaction between (non-magnetic) dielectric bodies or conductors. Our main result is a proof that the Casimir force between two bodies related by reflection is always attractive, independent of the exact form of…

Quantum Physics · Physics 2009-11-13 Oded Kenneth , Israel Klich

The Casimir force between two metallic plates is affected by their roughness state. This effect is usually calculated through the so-called `proximity force approximation' which is only valid for small enough wavevectors in the spectrum of…

Quantum Physics · Physics 2007-05-23 Cyriaque Genet , Astrid Lambrecht , Paulo Maia Neto , Serge Reynaud

The thermal Casimir effect in ideal metal rectangular boxes is considered using the method of zeta functional regularization. The renormalization procedure is suggested which provides the finite expression for the Casimir free energy in any…

Quantum Physics · Physics 2008-12-18 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We report on the measurement of the Casimir force between conducting surfaces in a parallel configuration. The force is exerted between a silicon cantilever coated with chromium and a similar rigid surface and is detected looking at the…

Quantum Physics · Physics 2008-11-26 G. Bressi , G. Carugno , R. Onofrio , G. Ruoso

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 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

We present a method of computing Casimir forces for arbitrary geometries, with any desired accuracy, that can directly exploit the efficiency of standard numerical-electromagnetism techniques. Using the simplest possible finite-difference…

We calculate the second order roughness correction to the Casimir energy for two parallel metallic mirrors. Our results may also be applied to the plane-sphere geometry used in most experiments. The metallic mirrors are described by the…

Quantum Physics · Physics 2016-09-08 Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

We argue that the exactly computable, angle dependent, Casimir force between parallel plates with different directions of conductivity can be measured.

High Energy Physics - Theory · Physics 2009-12-31 O. Kenneth , S. Nussinov
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