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In this letter, we derive the explicit exact formulas for the finite temperature Casimir force acting on a pair of parallel plates in the presence of extra compactified dimensions within the framework of Kaluza-Klein theory. Using the…

高能物理 - 理论 · 物理学 2009-02-26 L. P. Teo

The Casimir force between two parallel uncharged closely spaced metallic plates is evaluated in ways alternatives to those usually considered in the literature. In a first approximation we take in account the suppressed quantum numbers of a…

综合物理 · 物理学 2009-01-08 P. R. Silva

We present a study of the Casimir effect in an imperfect (mean-field) Bose gas contained between two infinite parallel plane walls. The derivation of the Casimir force follows from the calculation of the excess grand canonical free energy…

统计力学 · 物理学 2015-06-03 Marek Napiorkowski , Jaroslaw Piasecki

We consider the Casimir effect in a (1+1)-dimensional model with a critical mode. Such a mode gives rise to a condensate described by the nonlinear Gross-Pitaevskii equation. In the condensate, there are two sources of the Casimir force;…

量子物理 · 物理学 2025-02-14 M. Bordag , I. G. Pirozhenko

Attention in the literature has increasingly turned to the issue of the dependence on ensemble and boundary conditions of fluctuation-induced forces. We have recently investigated this problem in the one-dimensional Ising model with…

统计力学 · 物理学 2024-03-26 D. M. Dantchev , N. S. Tonchev , J. Rudnick

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…

量子物理 · 物理学 2012-07-20 Mustafa Özcan

The repulsive nature of the static Casimir force between two half-spaces, one perfectly dielectric and the other purely magnetic, has been known since Boyer's work [T. H. Boyer, Phys. Rev. A {\bf 9}, 2078 (1974)]. We here analyze the…

量子物理 · 物理学 2019-05-06 Johan S. Høye , Iver Brevik

We study the lateral Casimir force experienced by a particle that rotates near a planar surface. The origin of this force lies in the symmetry breaking induced by the particle rotation in the vacuum and thermal fluctuations of its dipole…

A novel approach for calculating Casimir forces between periodically deformed objects is developed. This approach allows, for the first time, a rigorous non-perturbative treatment of the Casimir effect for disconnected objects beyond…

统计力学 · 物理学 2010-12-17 Thorsten Emig

Perfect magnetic conductor (PMC) boundary conditions are dual to the more familiar perfect electric conductor (PEC) conditions and can be viewed as the electromagnetic analog of the boundary conditions in the bag model for hadrons in QCD.…

高能物理 - 理论 · 物理学 2008-11-26 A. Edery , V. Marachevsky

Depending on the point of view, the Casimir force arises from variation in the energy of the quantum vacuum as boundary conditions are altered or as an interaction between atoms in the materials that form these boundary conditions. Standard…

高能物理 - 理论 · 物理学 2021-02-03 S. S. Chabysheva , J. R. Hiller

The Casimir energy is calculated in one-, two-, and three-dimensional spaces for the field with generalized coordinates and momenta satisfying the deformed Poisson brackets leading to the minimal length.

量子物理 · 物理学 2008-11-26 Ivan Vakarchuk

The Casimir force is calculated analytically for configurations of two parallel plates and a spherical lens (sphere) above a plate with account of nonzero temperature, finite conductivity of the boundary metal and surface roughness. The…

量子物理 · 物理学 2009-11-07 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We calculate the Casimir force between parallel plates for a massless scalar field. When adding the energy of normal modes, we avoid infinities by using a discrete spacetime lattice; however, this approach proves ineffective as long as both…

Casimir-type forces, such as those between two neutral conducting plates, or between a sphere, atom or molecule and a plate have been widely studied and are becoming of increasing significance, for example, in nanotechnology. A key…

量子物理 · 物理学 2014-03-24 Alvaro M. Alhambra , Achim Kempf , Eduardo Martin-Martinez

A perfectly reflecting (Dirichlet) boundary condition at the edge of an impenetrable magnetic-flux-carrying tube of nonzero transverse size is imposed on the charged massive scalar matter field which is quantized outside the tube. We show…

高能物理 - 理论 · 物理学 2016-10-06 V. M. Gorkavenko , Yu. A. Sitenko , O. B. Stepanov

The Casimir force between two parallel plates in the G\"odel universe is computed for a scalar field at finite temperature. It is observed that when the plates separation is comparable with the scale given by the rotation of the space-time,…

高能物理 - 理论 · 物理学 2019-08-22 Sh. Khodabakhshi , A. Shojai

Using nonstandard recursion relations for Fresnel coefficients involving successive stacks of layers, we extend the Lifshitz formula to configurations with an inhomogeneous, n-layered, medium separating two planar objects. The force on each…

量子物理 · 物理学 2014-01-28 Marin-Slobodan Tomas

The Casimir stress on cylinderical shell in de Sitter background for massless scalar field satisfying Dirichlet boundary conditions on the cylinder is calculated. The metric is written in conformally flat form to make maximum use of the…

高能物理 - 理论 · 物理学 2009-11-07 M. R. Setare

The Casimir energy of an infinite compact cylinder placed in a uniform unbounded medium is investigated under the continuity condition for the light velocity when crossing the interface. As a characteristic parameter in the problem the…

高能物理 - 理论 · 物理学 2016-08-25 V. V. Nesterenko , I. G. Pirozhenko