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We consider the Casimir interaction between two spheres corresponding to massless Dirac fields with MIT-bag boundary conditions. Using operator approach, we derive the TGTG-formula for the Casimir interaction energy between the two spheres.…

High Energy Physics - Theory · Physics 2015-05-20 L. P. Teo

We derive the explicit expression for the Casimir energy between a sphere and a 1D grating, in terms of the sphere and grating reflection matrices, and valid for arbitrary materials, sphere radius, and grating geometric parameters. We then…

Quantum Physics · Physics 2015-12-21 Riccardo Messina , Paulo A. Maia Neto , Brahim Guizal , Mauro Antezza

We consider the high temperature limit of the Casimir interaction between a Dirichlet sphere and a Dirichlet plate due to the vacuum fluctuations of a scalar field in $(D+1)$-dimensional Minkowski spacetime. The high temperature leading…

High Energy Physics - Theory · Physics 2015-06-19 L. P. Teo

We analyze the possibility to measure small thermal effects in the Casimir force between metal test bodies in configurations of a sphere above a plate and two parallel plates. For sphere-plate geometry used in many experiments we…

Materials Science · Physics 2010-12-09 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We consider the finite temperature Casimir effect between two concentric spheres due to the vacuum fluctuations of the electromagnetic field in the $(D+1)$-dimensional Minkowski spacetime. Different combinations of perfectly conducting and…

Quantum Physics · Physics 2011-08-08 L. P. Teo

We calculate the Casimir interaction between two parallel wires and between a wire and a metall plate. The dielectric properties of the objects are described by the plasma, Drude and perfect metal models. We find that at asymptotically…

Statistical Mechanics · Physics 2011-12-12 Ehsan Noruzifar , Thorsten Emig , Roya Zandi

The thermal Casimir force between two metallic plates is known to depend on the description of material properties. For large separations the dissipative Drude model leads to a force a factor of 2 smaller than the lossless plasma model.…

Quantum Physics · Physics 2010-04-30 Antoine Canaguier-Durand , Paulo A Maia Neto , Astrid Lambrecht , Serge Reynaud

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

The temperature dependence of the Casimir force between a real metallic plate and a metallic sphere is analyzed on the basis of optical data concerning the dispersion relation of metals such as gold and copper. Realistic permittivities…

Quantum Physics · Physics 2009-01-14 I. Brevik , J. B. Aarseth , J. S. Høye , K. A. Milton

We present the complete results for the dynamic experiment on measuring the gradient of the Casimir force between magnetic (Ni-coated) surfaces of a plate and a sphere. Special attention is paid to the description of some details of the…

Other Condensed Matter · Physics 2014-03-25 A. A. Banishev , G. L. Klimchitskaya , V. M. Mostepanenko , U. Mohideen

Zero-frequency Casimir theory is analyzed from different viewpoints, focusing on the Drude-plasma issue that turns up when one considers thermal corrections to the Casimir force. The problem is that the plasma model, although leaving out…

Quantum Physics · Physics 2016-05-11 Johan S. Høye , Iver Brevik

The situation with the temperature corrections to the Casimir force between real metals of finite conductivity is reported. It is shown that the plasma dielectric function is well adapted to the Lifshitz formula and leads to reasonable…

Quantum Physics · Physics 2009-11-07 G. L. Klimchitskaya

We consider the small separation asymptotic expansions of the Casimir interaction energy and the Casimir interaction force between two parallel cylinders. The leading order terms and the next-to-leading order terms are computed…

Quantum Physics · Physics 2015-05-30 L. P. Teo

Differential force measurements between spheres coated with either nickel or gold and rotating disks with periodic distributions of nickel and gold are reported. The rotating samples are covered by a thin layer of titanium and a layer of…

Mesoscale and Nanoscale Physics · Physics 2016-06-06 G. Bimonte , D. Lopez , R. S. Decca

We give an exact series expansion of the Casimir force between plane and spherical metallic surfaces in the non trivial situation where the sphere radius $R$, the plane-sphere distance $L$ and the plasma wavelength $\lambda_\P$ have…

We consider the Casimir interaction energy between a plane and a sphere of radius $R$ at finite temperature $T$ as a function of the distance of closest approach $L$. Typical experimental conditions are such that the thermal wavelength…

Quantum Physics · Physics 2021-05-11 Vinicius Henning , Benjamin Spreng , Paulo A. Maia Neto , Gert-Ludwig Ingold

We discuss theoretical predictions for the thermal Casimir force and compare them with available experimental data. Special attention is paid to the recent claim of the observation of that effect, as predicted by the Drude model approach.…

Quantum Physics · Physics 2015-05-30 G. L. Klimchitskaya , M. Bordag , E. Fischbach , D. Krause , V. M. Mostepanenko

It has been known that the Lifshitz theory of the Casimir force comes into conflict with the measurement data if the response of conduction electrons in metals to electromagnetic fluctuations is described by the well tested dissipative…

Quantum Physics · Physics 2022-01-07 G. L. Klimchitskaya , V. M. Mostepanenko

A widely used method for estimating Casimir interactions [H. B. G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948)] between gently curved material surfaces at short distances is the proximity force approximation (PFA). While this…

Quantum Physics · Physics 2015-06-03 G. Bimonte , T. Emig , M. Kardar

We consider the interaction between a spherical plasma sheet and a planar plasma sheet due to the vacuum fluctuations of electromagnetic fields. We use the mode summation approach to derive the Casimir interaction energy and study its…

Quantum Physics · Physics 2015-06-18 L. P. Teo