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Related papers: Comment on "Casimir energies with finite-width mir…

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We consider the ground state energy of the electromagnetic field in a piston geometry. In the idealised case, where the piston and the walls of the chamber are taken as perfect mirrors, the Casimir pressure on the piston is finite and…

Quantum Physics · Physics 2013-08-09 S. A. R. Horsley , W. M. R. Simpson

We consider a Casimir cavity, one plate of which is a thin superconducting film. We show that when the cavity is cooled below the critical temperature for the onset of superconductivity, the sharp variation (in the far infrared) of the…

Quantum Physics · Physics 2011-07-19 Giuseppe Bimonte , Enrico Calloni , Giampiero Esposito , Leopoldo Milano , Luigi Rosa

This survey summarizes briefly results obtained recently in the Casimir energy studies devoted to the following subjects: i) account of the material characteristics of the media in calculations of the vacuum energy (for example, Casimir…

High Energy Physics - Theory · Physics 2016-10-05 V. V. Nesterenko , G. Lambiase , G. Scarpetta

In [hep-th/0009173] Milton has presented a brief review of some interesting aspects of the theory of the Casimir effect. This comment is aimed at correcting some imprecise statements in that work with respect to the relevance of the Casimir…

High Energy Physics - Theory · Physics 2007-05-23 S. Liberati , F. Belgiorno , Matt Visser

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…

Quantum Physics · Physics 2014-01-28 Marin-Slobodan Tomas

A new method based on the Monte-Carlo calculation on the lattice is proposed to study the Casimir effect in the noncompact lattice QED. We have studied the standard Casimir problem with two parallel plane surfaces (mirrors) and oblique…

High Energy Physics - Lattice · Physics 2010-05-25 Oleg Pavlovsky , Maxim Ulybyshev

We want to study the Casimir effect for a single conducting microscopic cylindrical cavity. The mathematical technique is based on the Green function of the geometry of the inside of the cavity, and the integral regularization is based on…

Quantum Physics · Physics 2016-01-28 H. Razmi , S. M. Shirazi

We discuss the formalism of Balian and Duplantier for the calculation of the Casimir energy for an arbitrary smooth compact surface, and use it to give some examples: a finite cylinder with hemispherical caps, the torus, ellipsoid of…

Statistical Mechanics · Physics 2014-07-16 Joseph P. Straley , Eugene B. Kolomeisky

We calculate the increase in the number of modes (the Kac number) per unit length and the change in the zero-point energy (the Casimir energy) of the electromagnetic field resulting from the introduction of a thin perfectly conducting…

Statistical Mechanics · Physics 2014-03-17 Joseph P. Straley , Graham A. White , Eugene B. Kolomeisky

Schwinger's Dynamical Casimir Effect is one of several candidate explanations for sonoluminescence. Recently, several papers have claimed that Schwinger's estimate of the Casimir energy involved is grossly inaccurate. In this letter, we…

High Energy Physics - Theory · Physics 2010-11-19 Carl E. Carlson , Carmen Molina--Paris , Juan Perez--Mercader , Matt Visser

New Casimir energy results for massless scalar field in some 3 -dimensional cavities are presented. We attempted to discuss the correlation between the sign and the magnitude of the energy and the shape of the cavities.

High Energy Physics - Theory · Physics 2017-08-23 H. Ahmedov , I. H. Duru

Casimir energy calculations for the conformally coupled massless scalar field for a wedge defined by three intersecting planes and for a pyramid with four triangular surfaces are presented. The group generated by reflections are employed in…

Mathematical Physics · Physics 2016-09-07 H. Ahmedov , I. H. Duru

We discuss several approaches to determine the Casimir force in inertial frames of reference in different dimensions. On an example of a simple model involving mirrors in Rindler spacetime we show that Casimir's and Lifschitz's methods are…

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…

Quantum Physics · Physics 2025-03-07 Kyohei Mukaida , Hideo Iizuka , Kazunori Nakayama

The Casimir energy of a solid ball (or cavity in an infinite medium) is calculated by a direct frequency summation using the contour integration. The dispersion is taken into account, and the divergences are removed by making use of the…

High Energy Physics - Theory · Physics 2009-10-31 V. V. Nesterenko , I. G. Pirozhenko

In the final few years of his life, Julian Schwinger proposed that the ``dynamical Casimir effect'' might provide the driving force behind the puzzling phenomenon of sonoluminescence. Motivated by that exciting suggestion, we have computed…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A. Milton , Y. Jack Ng

After reviewing some essential features of the Casimir effect and, specifically, of its regularization by zeta function and Hadamard methods, we consider the dynamical Casimir effect (or Fulling-Davis theory), where related regularization…

High Energy Physics - Theory · Physics 2008-11-26 Emilio Elizalde

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

The Casimir force can be understood as resulting from the radiation pressure exerted by the vacuum fluctuations reflected by boundaries. We extend this local formulation to the case of partially transmitting boundaries by introducing…

Quantum Physics · Physics 2009-11-07 Marc-Thierry Jaekel , Serge Reynaud

We investigate the Casimir force between two dissimilar plane mirrors the material properties of which are described by Drude or Lorentz models. We calculate analytically the short and long distance asymptote of the force and relate its…

Quantum Physics · Physics 2008-12-18 A. Lambrecht , I. G. Pirozhenko