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We compute the Casimir interaction energy between two perfectly conducting, concentric cylinders, using the mode-by-mode summation technique. Then we compare it with the approximate results obtained using the proximity theorem and a…

量子物理 · 物理学 2007-05-23 Francisco D. Mazzitelli

The survey summarizes briefly the results obtained recently in the Casimir effect studies considering the following subjects: i) account of the material characteristics of the media and their influence on the vacuum energy (for example,…

高能物理 - 理论 · 物理学 2007-05-23 V. V. Nesterenko

It has been speculated that the zero-point energy of the vacuum, regularized due to the existence of a suitable ultraviolet cut-off scale, could be the source of the non-vanishing cosmological constant that is driving the present…

天体物理学 · 物理学 2008-11-26 Gaurang Mahajan , Sudipta Sarkar , T. Padmanabhan

The Casimir force between a pair of parallell plates filled with ionic particles is considered. We use a statistical mechanical approach and consider the classical high temperature limit. In this limit the ideal metal result with no…

统计力学 · 物理学 2009-03-18 J. S. Høye

We present the scattering approach which is nowadays the best tool for describing the Casimir force in realistic experimental configurations. After reminders on the simple geometries of 1d space and specular scatterers in 3d space, we…

量子物理 · 物理学 2015-05-18 S. Reynaud , A. Canaguier-Durand , R. Messina , A. Lambrecht , P. A. Maia Neto

The possibility of repulsive Casimir forces between small metal spheres and a dielectric half-space is discussed. We treat a model in which the spheres have a dielectric function given by the Drude model, and the radius of the sphere is…

量子物理 · 物理学 2009-11-10 V. Sopova , L. H. Ford

We consider the vacuum energy of the electromagnetic field in the background of spherically symmetric dielectrics, subject to a cut-off frequency in the dispersion relations. The effect of this frequency dependent boundary condition between…

高能物理 - 理论 · 物理学 2007-05-23 H. Falomir , K. Rébora

The mean force exerted upon a perfect mirror moving in vacuum in a two dimensional spacetime has the same expression as the radiation reaction force computed in classical electron theory. It follows that unacceptable runaway solutions are…

量子物理 · 物理学 2009-11-07 Marc-Thierry Jaekel , Serge Reynaud

We introduce the concept of Casimir friction, i.e. friction due to quantum fluctuations. In this first article we describe the calculation of a constant torque, arising from the scattering of quantum fluctuations, on a dielectric rotating…

量子物理 · 物理学 2008-04-09 Yves Pomeau , David C. Roberts

Traditionally it is assumed that the Casimir vacuum pressure does not depend on the ultraviolet cut-off. There are, however, some arguments that the effect actually depends on the regularization procedure and thus on the trans-Planckian…

广义相对论与量子宇宙学 · 物理学 2009-11-07 G. E. Volovik

I show that cooperative exclusion processes with selective kinetic constraints exhibit fluctuation-induced forces that can be attractive or repulsive, depending on the density of boundary reservoirs, when their density-dependent diffusion…

统计力学 · 物理学 2020-01-08 Mauro Sellitto

We study the general form of the Casimir interaction between two flat finite-width, parallel, infinite mirrors, described by their respective vacuum polarization tensors, under the assumption of translation invariance along the directions…

高能物理 - 理论 · 物理学 2013-04-24 C. D. Fosco , M. L. Remaggi

We give a robust formulation to calculate the Casimir energy and Casimir force for plane-parallel multilayer setups with general dielectric constants. We derive recursion relations for multilayer reflection and transmission coefficients in…

量子物理 · 物理学 2025-03-07 Kyohei Mukaida , Hideo Iizuka , Kazunori Nakayama

Creation of scalar massless particles in two-dimensional Minkowski space-time--as predicted by the dynamical Casimir effect--is studied for the case of a semitransparent mirror initially at rest, then accelerating for some finite time,…

量子物理 · 物理学 2008-11-26 Jaume Haro , Emilio Elizalde

Zero-point fluctuations in quantum fields give rise to observable forces between material bodies, the so-called Casimir forces. In these lectures I present the theory of the Casimir effect, primarily formulated in terms of Green's…

高能物理 - 理论 · 物理学 2007-05-23 Kimball A. Milton

We consider the Casimir effect for a scalar field interacting with another scalar field that is confined to two half spaces. This model is aimed to mimic the interaction of the photon field with matter in two slabs. We use Dirichlet…

量子物理 · 物理学 2018-03-23 Michael Bordag , Irina G. Pirozhenko

Theory of the Casimir effect is presented in several examples. Casimir - Polder type formulas, Lifshitz theory and theory of the Casimir effect for two gratings separated by a vacuum slit are derived. Equations for the electromagnetic field…

量子物理 · 物理学 2015-06-12 Valery N. Marachevsky

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…

量子物理 · 物理学 2011-08-08 L. P. Teo

We present theoretical description of the Casimir interaction in graphene systems which is based on the Lifshitz theory of dispersion forces and the formalism of the polarization tensor in (2+1)-dimensional space-time. The representation…

量子物理 · 物理学 2016-04-13 G. L. Klimchitskaya

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…

量子物理 · 物理学 2009-10-31 Astrid Lambrecht , Serge Reynaud