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We study the electromagnetic Casimir interaction of a compact object contained inside a closed cavity of another compact object. We express the interaction energy in terms of the objects' scattering matrices and translation matrices that…

Quantum Physics · Physics 2010-11-16 Saad Zaheer , Sahand Jamal Rahi , Thorsten Emig , Robert L. Jaffe

We propose a definitive test of whether plates involved in Casimir experiments should be modeled with ballistic or diffusive electrons--a prominent controversy highlighted by a number of conflicting experiments. The unambiguous test we…

Quantum Physics · Physics 2015-06-30 Andrew A. Allocca , Justin H. Wilson , Victor Galitski

The Casimir effect for parallel plates satisfying the Dirichlet boundary condition in the context of effective QED coming from a six-dimensional Nielsen-Olesen vortex solution of the Abelian Higgs model with fermions coupled to gravity is…

High Energy Physics - Theory · Physics 2016-07-26 Hongbo Cheng

We develop a method to compute the Casimir effect for arbitrary geometries. The method is based on the string-inspired worldline approach to quantum field theory and its numerical realization with Monte-Carlo techniques. Concentrating on…

High Energy Physics - Theory · Physics 2009-11-10 Holger Gies , Kurt Langfeld , Laurent Moyaerts

The role of the vacuum, in the Casimir Effect, is a matter of some dispute: the Casimir force has been variously described as a phenomenon resulting "from the alteration, by the boundaries, of the zero-point electromagnetic energy", or a…

Quantum Physics · Physics 2013-07-24 William M. R. Simpson

We study the Casimir effect in the framework of Standard Model Extension (SME). Employing the weak field approximation, the vacuum energy density {\epsilon} and the pressure for a massless scalar field confined between two nearby parallel…

High Energy Physics - Theory · Physics 2018-11-29 Massimo Blasone , Gaetano Lambiase , Luciano Petruzziello , Antonio Stabile

The Casimir effect is a physical manifestation of zero point energy of quantum vacuum. In a relativistic quantum field theory, Poincar\'e symmetry of the theory seems, at first sight, to imply that non-zero vacuum energy is inconsistent…

Quantum Physics · Physics 2016-06-29 Takamaru Akita , Mamoru Matsunaga

We consider the Casimir effect of a massive vector field between two semi-infinite dielectric slabs. We first derive the generalization of the Lifshitz formula that gives the Casimir interaction energy of two magnetodielectric slabs…

Quantum Physics · Physics 2015-06-05 L. P. Teo

In order to compare recent experimental results with theoretical predictions we study the influence of finite conductivity of metals on the Casimir effect. The correction to the Casimir force and energy due to imperfect reflection and…

Quantum Physics · Physics 2023-04-14 Astrid Lambrecht , Cyriaque Genet , Serge Reynaud

We obtain constraints on non-Newtonian gravity following from the improved precision measurement of the Casimir force by means of atomic force microscope. The hypothetical force is calculated in experimental configuration (a sphere above a…

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

After a review of the standard calculation of the Casimir force between two metallic plates at zero and non-zero temperatures, we present the study of microscopic models to determine the large-distance asymptotic force in the…

Statistical Mechanics · Physics 2011-11-09 Ph. A. Martin , P. R. Buenzli

We address three different problematic Casimir experiments in this work. The first is the classical Casimir force measured between two metal half spaces; here in the form of the Casimir pressure measurement between a gold sphere and a gold…

Quantum Physics · Physics 2009-10-27 Bo E. Sernelius

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…

Quantum Physics · Physics 2009-11-07 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

In this work I study the Casimir effect of a massive complex scalar field in the presence of one large compactified extra dimension. I investigate the case of a scalar field confined between two parallel plates in the macroscopic three…

High Energy Physics - Theory · Physics 2022-10-13 Andrea Erdas

We propose a new theory of thermal Casimir effect, holding for the experimentally important case of metallic surfaces with a roughness having a spatial scale smaller than the skin depth. The theory is based on a simple phenomenological…

Quantum Physics · Physics 2007-11-05 G. Bimonte

The Casimir effect is a force arising in the macroscopic world as a result of radiation pressure of vacuum fluctuations. It thus plays a key role in the emerging domain of nano-electro-mechanical systems (NEMS). This role is reviewed in the…

Quantum Physics · Physics 2009-11-13 Cyriaque Genet , Astrid Lambrecht , Serge Reynaud

The Casimir effect is investigated in light-cone quantization. It is shown that for spacelike separation of the walls enclosing the system the standard result for the pressure exerted on the walls is obtained. For walls separated in…

High Energy Physics - Theory · Physics 2009-11-07 F. Lenz , D. Steinbacher

A multiple scattering formulation is used to calculate the force, arising from fluctuating scalar fields, between distinct bodies described by $\delta$-function potentials, so-called semitransparent bodies. (In the limit of strong coupling,…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A. Milton , Jef Wagner

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…

Quantum Physics · Physics 2009-11-10 V. Sopova , L. H. Ford

The Casimir force, which results from the confinement of the quantum mechanical zero-point fluctuations of the electromagnetic fields, has received significant attention in recent years for its effect on micro- and nano-scale mechanical…

Atomic Physics · Physics 2009-11-13 J. N. Munday , Federico Capasso