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We extend the Lifshitz theory of the Casimir force to the case of two parallel magnetic metal plates possessing a spatially nonlocal dielectric response. By solving Maxwell equations in the configuration of an electromagnetic wave incident…

Quantum Physics · Physics 2021-10-13 G. L. Klimchitskaya , V. M. Mostepanenko

We compute Casimir interaction energies for the sphere-plate and cylinder-plate configuration induced by scalar-field fluctuations with Dirichlet boundary conditions. Based on a high-precision calculation using worldline numerics, we…

Quantum Physics · Physics 2009-11-13 Holger Gies , Klaus Klingmuller

We develop a model of a quantum field confined within a cavity with a movable wall where the position of the wall is quantized. We obtain a full description of the dynamics of both the quantum field and the confining wall depending on the…

The Casimir force between two short-range charge sources, embedded in a background of one dimensional massive Dirac fermions, is explored by means of the original $\ln\text{[Wronskian]}$ contour integration techniques. For identical sources…

High Energy Physics - Theory · Physics 2019-06-19 Yu. Voronina , I. Komissarov , K. Sveshnikov

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

We calculate exactly the Casimir force or dispersive force, in the non-retarded limit, between a spherical nanoparticle and a substrate beyond the London's or dipolar approximation. We find that the force is a non-monotonic function of the…

We propose an optomechanical structure consisting of a photonic-crystal (holey) membrane suspended above a layered silicon-on-insulator substrate in which resonant bonding/antibonding optical forces created by externally incident light from…

We study the Casimir effect for scalar fields with general curvature coupling subject to mixed boundary conditions $(1+\beta_{m}n^{\mu}\partial_{\mu})\phi =0$ at $x=a_{m}$ on one ($m=1$) and two ($m=1,2$) parallel plates at a distance…

High Energy Physics - Theory · Physics 2008-11-26 A. Romeo , A. A. Saharian

The controllable positioning of a vacuum-levitated object near a material surface is of importance for studying short-range forces, such as Casimir forces, interfacial friction forces, or gravity in yet unexplored parameter regimes. Here we…

The interaction between a polarizable particle and a reflecting wall is examined. A macroscopic approach is adopted in which the averaged force is computed from the Maxwell stress tensor. The particular case of a perfectly reflecting wall…

Quantum Physics · Physics 2009-10-31 L. H. Ford

Up to now there has been no reliable method to calculate the Casimir force when surface roughness becomes comparable with the separation between bodies. Statistical analysis of rough Au films demonstrates rare peaks with heights…

Mesoscale and Nanoscale Physics · Physics 2011-07-11 Wijnand Broer , George Palasantzas , Jasper Knoester , Vitaly B. Svetovoy

We study the electromagnetic Casimir interaction of a compact object contained inside a closed cavity of another compact object. We express the interaction energy in terms of the objects' scattering matrices and translation matrices that…

Quantum Physics · Physics 2010-11-16 Saad Zaheer , Sahand Jamal Rahi , Thorsten Emig , Robert L. Jaffe

We investigate the Casimir effect for a massless scalar field confined between two parallel semitransparent mirrors in a vacuum modified by spontaneous Lorentz symmetry breaking. Using Green's function techniques and a point-splitting…

High Energy Physics - Theory · Physics 2025-10-01 Román Linares , C. A. Escobar , A. Martín-Ruiz , E. Plácido

We find the joint effect of non-zero temperature and finite conductivity onto the Casimir force between real metals. Configurations of two parallel plates and a sphere (lens) above a plate are considered. Perturbation theory in two…

Quantum Physics · Physics 2009-11-06 M. Bordag , B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

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

From energy considerations there is reason to expect that the work done by Casimir forces during a slow displacement of the parallel plates reflects the free energy of the surface tension of the adjacent surfaces. We show this explicitly,…

Quantum Physics · Physics 2017-05-30 J. S. Høye , I. Brevik

The interaction of compact objects with an infinitely extended mirror plane due to quantum fluctuations of a scalar or electromagnetic field that scatters off the objects is studied. The mirror plane is assumed to obey either Dirichlet or…

Statistical Mechanics · Physics 2009-11-13 Thorsten Emig

Patch potentials arising from the polycrystalline structure of material samples may contribute significantly to measured signals in Casimir force experiments. Most of these experiments are performed in the sphere-plane geometry, yet, up to…

Other Condensed Matter · Physics 2013-01-11 R. O. Behunin , Y. Zeng , D. A. R. Dalvit , S. Reynaud

Quantum electrodynamic fluctuations cause an attractive force between metallic surfaces. At separations where the finite speed of light affects the interaction, it is called the Casimir force. Thermal motion determines the fundamental…

Quantum Physics · Physics 2019-08-27 Joseph L. Garrett , David A. T. Somers , Kyle Sendgikoski , Jeremy N. Munday

We numerically examine run-and-tumble active matter particles in Casimir geometries composed of two finite parallel walls. We find that there is an attractive force between the two walls of a magnitude that increases with increasing run…

Soft Condensed Matter · Physics 2014-07-30 D. Ray , C. Reichhardt , C. J. Olson Reichhardt