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The Casimir effect for spherical geometry is calculated using generalized Thermofield Dynamics for the case of scalar field. Casimir force and Casimir pressure are presented. It is found that for high temperatures the Casimir force does…

High Energy Physics - Theory · Physics 2008-03-25 D. U. Matrasulov , Kh. T. Butanov , Kh. Yu. Rakhimov , F. C. Khanna , A. E. Santana

We present the foundations of a new approach to the Casimir effect based on classical ray optics. We show that a very useful approximation to the Casimir force between arbitrarily shaped smooth conductors can be obtained from knowledge of…

Quantum Physics · Physics 2009-11-10 A. Scardicchio , R. L. Jaffe

We consider the Casimir force including all important corrections to it for the configuration used in a recent experiment employing an atomic force microscope. We calculate the long-range hypothetical forces due to the exchange of light and…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Bordag , B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

Within the scattering theoretical approach, the Casimir force is obtained numerically by an evaluation of the round trip of an electromagnetic wave between the objects involved. Recently [Hartmann M et al. 2017, Phys. Rev. Lett. 119 043901]…

Quantum Physics · Physics 2018-10-17 Michael Hartmann , Gert-Ludwig Ingold , Paulo A. Maia Neto

We investigate the possibility of measuring the thermal Casimir force and its gradient in the configuration of a plate and a microfabricated cylinder attached to a micromachined oscillator. The Lifshitz-type formulas in this configuration…

Quantum Physics · Physics 2015-05-20 R. S. Decca , E. Fischbach , G. L. Klimchitskaya , D. E. Krause , D. Lopez , V. M. Mostepanenko

The lowest radiative correction to the Casimir energy density between two parallel plates is calculated using effective field theory. Since the correlators of the electromagnetic field diverge near the plates, the regularized energy density…

Quantum Physics · Physics 2009-10-30 Xinwei Kong , Finn Ravndal

We investigate the error made by the pairwise summation (PWS) approximation in three geometries where the exact formula for the Casimir interaction is known: atom-slab, slab-slab and sphere-slab configurations. For each case the…

Quantum Physics · Physics 2013-01-16 Anne-Florence Bitbol , Antoine Canaguier-Durand , Astrid Lambrecht , Serge Reynaud

The Casimir force between two perfectly reflecting parallel plates is considered. In a recent paper we presented generalised physical boundary conditions describing perfectly reflecting parallel plates. These boundary conditions are…

Quantum Physics · Physics 2018-03-15 Adam Stokes , Robert Bennett

We investigate the Casimir effect for parallel plates within the framework of Ho\v{r}ava-Lifshitz theory in $3+1$ dimensions, considering the effects of roughness, anisotropic scaling factor, and an uniform constant magnetic field. Quantum…

High Energy Physics - Theory · Physics 2025-04-10 Byron Droguett , Claudio Bórquez

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

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 study the influence of finite conductivity of metals on the Casimir effect. We put the emphasis on explicit theoretical evaluations which can help comparing experimental results with theory. The reduction of the Casimir force is…

Quantum Physics · Physics 2009-10-31 Astrid Lambrecht , Serge Reynaud

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

In this paper, we study the Casimir effect in the classical geometry of two parallel conducting plates, separated by a distance $L$, due to the presence of a minimal length $\lambda$ arising from a background independent (polymer)…

High Energy Physics - Phenomenology · Physics 2020-02-26 C. A. Escobar , E. Chan-López , A. Martín-Ruiz

In this paper I study the Casimir effect caused by a charged and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. I investigate the case of a scalar field that satisfies Dirichlet or mixed…

High Energy Physics - Theory · Physics 2020-12-02 Andrea Erdas

In this work, we investigate the violation of Lorentz symmetry through the Casimir effect. The Casimir effect is one of the most intriguing aspects of modern physics, representing a macroscopic quantum-origin force between two neutral…

High Energy Physics - Theory · Physics 2024-10-29 E. R. Bezerra de Mello , M. B. Cruz

When studying the Casimir effect in a quantum field theory setting, one can impose the boundary conditions by adding appropriate Dirac-delta functions to the path integral. In this paper, the limits of this approach are explored under…

High Energy Physics - Theory · Physics 2026-02-23 David Vercauteren

Using the ray-optics approximation, we analyze the Casimir force in a two dimensional domain formed by two metallic blocks adjacent to parallel metallic sidewalls, which are separated from the blocks by a finite distance h. For h > 0, the…

Quantum Physics · Physics 2011-01-25 Saad Zaheer , Alejandro W. Rodriguez , Steven G. Johnson , Robert L. Jaffe

The Casimir energy for a massless scalar field between the closely spaced two concentric D-dimensional (for D>3) spheres is calculated by using the mode summation with contour integration in the complex plane of eigenfrequencies and the…

Quantum Physics · Physics 2012-07-20 Mustafa Özcan

Measurements of the Casimir force are used to obtain stronger constraints on the parameters of hypothetical interactions predicted in different unification schemes beyond the Standard Model. We review new strong constraints on the…

High Energy Physics - Phenomenology · Physics 2015-06-03 V. M. Mostepanenko , V. B. Bezerra , G. L. Klimchitskaya , C. Romero