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Using the recently proposed theory, we calculate thermal effect in the Casimir interaction from graphene-coated metallic and dielectric substrates. The cases when only one or both of the two parallel plates are coated with graphene are…

Quantum Physics · Physics 2015-06-19 G. L. Klimchitskaya , V. M. Mostepanenko

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

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

We calculate the Casimir energy of a massless scalar field confined between two nearby parallel plates formed by ideal uncharged conductors, placed tangentially to the surface of a sphere with mass M and radius R. To this end, we take into…

High Energy Physics - Theory · Physics 2015-05-06 C. R. Muniz , V. B. Bezerra , M. S. Cunha

Using the covariant electromagnetic Casimir effect (previously introduced for real conducting cylindrical shells [1]), the Casimir force experienced by a spherical shell, under Dirichlet boundary condition, is calculated. The…

General Physics · Physics 2016-08-30 H. Razmi , M. Abtahi

We show the influence of surface plasmons on the Casimir effect between two plane parallel metallic mirrors at arbitrary distances. Using the plasma model to describe the optical response of the metal, we express the Casimir energy as a sum…

Quantum Physics · Physics 2009-11-11 F. Intravaia , A. Lambrecht

Casimir interactions (due to the massless scalar field fluctuations) of two surfaces which are close to each other are studied. After a brief general presentation, explicit calculations for co-axial cylinders, co-centric spheres and…

High Energy Physics - Theory · Physics 2015-06-26 H. Ahmedov , I. H. Duru

We obtain the Pairwise Summation Approximation (PSA) of the Casimir energy from first principles in the soft dielectric and soft diamagnetic limit, so we find that the PSA is an asymptotic approximation of the Casimir energy valid for large…

Statistical Mechanics · Physics 2010-01-14 Pablo Rodriguez-Lopez

A simple method for calculating the Casimir energy for a sphere is developed which is based on a direct mode summation and counter integration in a complex plane of eigenfrequencies. The method uses only classical equations determining the…

High Energy Physics - Theory · Physics 2009-10-30 V. V. Nesterenko , I. G. Pirozhenko

Reflection of electromagnetic waves from a periodic grating can be described in terms of a discrete coupled multichannel scattering problem. By modeling the grating as a space- and frequency-dependent dielectric, it is possible to use a…

Quantum Physics · Physics 2014-10-01 Noah Graham

We consider the Casimir effect for a sphere in front of a plane at finite temperature for scalar and electromagnetic fields and calculate the limiting cases. For small separation we compare the exact results with the corresponding ones…

Quantum Physics · Physics 2015-03-13 M. Bordag , I. Pirozhenko

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 calculate the exact Casimir interaction energy between two perfectly conducting, very long, eccentric cylindrical shells using a mode summation technique. Several limiting cases of the exact formula for the Casimir energy corresponding…

Quantum Physics · Physics 2011-07-19 F. D. Mazzitelli , D. A. R. Dalvit , F. C. Lombardo

The Casimir effect, originating from quantum and thermal fluctuations, is well known for inducing forces between closely spaced surfaces. When these surfaces are optically anisotropic, these interactions can produce a Casimir torque that…

Quantum Physics · Physics 2025-07-04 Benjamin Spreng , Jeremy N. Munday

We calculate the low temperature corrections to the free energy for a sphere in front of a plane. First, the scalar field obeying Dirichet or Neumann boundary conditions is considered. Second, the electromagnetic field is studied, the…

Quantum Physics · Physics 2015-05-19 Michael Bordag , Irina G. Pirozhenko

We propose to use optical tweezers to probe the Casimir interaction between microspheres inside a liquid medium for geometric aspect ratios far beyond the validity of the widely employed proximity force approximation. This setup has the…

Eigenmodes of electromagnetic field with perfectly conducting or infinitely permeable conditions on the boundary of a D-dimensional spherically symmetric cavity is derived explicitly. It is shown that there are (D-2) polarizations for TE…

High Energy Physics - Theory · Physics 2014-11-20 L. P. Teo

A new version of the Casimir effect where the two plates conduct in specific, different, directions is considered. By direct functional integration the evaluation of the Casimir energy as a function of the angle between the conduction…

High Energy Physics - Theory · Physics 2007-05-23 Oded Kenneth , Shmuel Nussinov

We have performed a precise experimental determination of the Casimir pressure between two gold-coated parallel plates by means of a micromachined oscillator. In contrast to all previous experiments on the Casimir effect, where a small…

Quantum Physics · Physics 2016-08-16 G. L. Klimchitskaya , R. S. Decca , E. Fischbach , D. E. Krause , D. López , V. M. Mostepanenko

We investigate the Casimir force between a microfabricated elliptic cylinder (cylindrical lens) and a plate made of real materials. After a brief discussion of the fabrication procedure, which typically results in elliptic rather than…

Quantum Physics · Physics 2015-05-30 R. S. Decca , E. Fischbach , G. L. Klimchitskaya , D. E. Krause , D. Lopez , V. M. Mostepanenko