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The Casimir force - at first a rather unexpected consequence of quantum electrodynamics - was discovered by Hendrik Casimir in Eindhoven in 1948. It predicts that two uncharged metal plates experience an attractive force because of the…

Quantum Physics · Physics 2013-12-19 Iver Brevik , Johan S. Høye

We study the Casimir problem as the limit of a conventional quantum field theory coupled to a smooth background. The Casimir energy diverges in the limit that the background forces the field to vanish on a surface. We show that this…

High Energy Physics - Theory · Physics 2008-11-26 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , M. Scandurra , H. Weigel

An extended Drude model, termed as the Gurzhi model, which takes into account the electron-phonon and electron-electron interactions, is applied to calculate the Casimir force between two metallic plates. It is shown that although the…

Mesoscale and Nanoscale Physics · Physics 2020-02-20 G. L. Klimchitskaya , V. M. Mostepanenko , Kailiang Yu , L. M. Woods

The controversy concerning the temperature correction to the Casimir force has been ongoing for almost a decade with no view to a solution and has recently been extended to include semiconducting materials. We review some theoretical…

Quantum Physics · Physics 2015-05-13 Simen A. Ådnøy Ellingsen , Iver Brevik , Johan S. Høye , Kimball A. Milton

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

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

The Casimir-Lifshitz force is calculated between a heterogeneous gapped metal surface and a silica sphere attached to an AFM cantilever tip. We demonstrate that heterogeneous surface patches with different off-stoichiometry surface…

Materials Science · Physics 2026-02-17 M. Boström , S. Pal , H. R. Gopidi , S. Osella , A. Gholamhosseinian , G. Palasantzas , O. I. Malyi

We utilize an effective field theory approach to calculate Casimir interactions between objects bound to thermally fluctuating fluid surfaces or interfaces. This approach circumvents the complicated constraints imposed by such objects on…

Soft Condensed Matter · Physics 2015-05-19 Cem Yolcu , Ira Z. Rothstein , Markus Deserno

The experimental demonstration of the modification of the Casimir force between a gold coated sphere and a single-crystal Si membrane by light pulses is performed. The specially designed and fabricated Si membrane was irradiated with 514 nm…

Statistical Mechanics · Physics 2009-11-13 F. Chen , G. L. Klimchitskaya , V. M. Mostepanenko , U. Mohideen

The Casimir effect for parallel plates satisfying the Dirichlet boundary condition in the context of effective QED coming from a six-dimensional Nielsen-Olesen vortex solution of the Abelian Higgs model with fermions coupled to gravity is…

High Energy Physics - Theory · Physics 2016-07-26 Hongbo Cheng

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

In this work we analyze the incidence of the plates' thickness on the Casimir force and radiative heat transfer for a configuration of parallel plates in a non-equilibrium scenario, relating to Lifshitz's and Landauer's formulas. From a…

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

We examine the Casimir free energy and pressure of magnetic metal films, which are free-standing in vacuum, sandwiched between two dielectric plates, and deposited on either nonmagnetic or magnetic metallic plates. All calculations are…

Quantum Physics · Physics 2016-07-06 G. L. Klimchitskaya , V. M. Mostepanenko

The Casimir friction problem for a pair of dielectric particles in relative motion is analyzed, utilizing a microscopic model in which we start from statistical mechanics for harmonically oscillating particles at finite temperature moving…

Quantum Physics · Physics 2015-05-18 Johan S. Høye , Iver Brevik

The Casimir-Polder interaction of an atom with a metallic wall is investigated in the framework of the Lifshitz theory. It is demonstrated that in some temperature (separation) region the Casimir-Polder entropy takes negative values and…

Quantum Physics · Physics 2009-11-13 V. B. Bezerra , G. L. Klimchitskaya , V. M. Mostepanenko , C. Romero

The Casimir-Polder-Lifshitz force felt by an atom near the surface of a substrate is calculated out of thermal equilibrium in terms of the dielectric function of the material and of the atomic polarizability. The new force decays like…

Statistical Mechanics · Physics 2007-05-23 Mauro Antezza , Lev P. Pitaevskii , Sandro Stringari

The Lifshitz theory provides a semiclassical description of the Casimir-Polder atom-plate interaction, where the electromagnetic field is quantized whereas the material of the plate is considered as a continuous medium. This places certain…

Quantum Physics · Physics 2025-04-10 V. M. Mostepanenko

Using perturbation theory the first order dispersive correction to the Casimir energy between two plates separated by a dielectric material is calculated. It falls off with the plate separation as 1/L^6. The result is derived both from…

Quantum Physics · Physics 2010-05-06 Finn Ravndal , Lee-Peng Teo

When the vacuum is partitioned by material boundaries with arbitrary shape, one can define the zero-point energy and the free energy of the electromagnetic waves in it: this can be done, independently of the nature of the boundaries, in the…

Quantum Physics · Physics 2007-05-23 Roger Balian , Bertrand Duplantier