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We consider the vacuum energy of the electromagnetic field in systems characterized by a constant conductivity using the zeta-regularization approach. The interaction in two cases is investigated: two infinitely thin parallel sheets and an…

Quantum Physics · Physics 2014-06-11 Nail Khusnutdinov , D. Drosdoff , Lilia M. Woods

We present supplementary information on the recent indirect measurement of the Casimir pressure between two parallel plates using a micromachined oscillator. The equivalent pressure between the plates is obtained by means of the proximity…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. S. Decca , D. Lopez , E. Fischbach , G. L. Klimchitskaya , D. E. Krause , V. M. Mostepanenko

We study the effects of the minimal extension of the standard model including Lorentz violation on the Casimir force between two parallel conducting plates in vacuum. We provide explicit solutions for the electromagnetic field using scalar…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mariana Frank , Ismail Turan

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 discuss four different, though related, fundamental topics related to the Casimir effect: 1) We suggest that the application of Casimir theory to real dielectric materials, thus implying the atomic spacing as a course-grained length…

Quantum Physics · Physics 2022-06-03 Iver Brevik

We investigate the pseudo-Casimir force acting between two charged surfaces confining a single polyelectrolyte chain with opposite charge. We expand the exact free energy to the second order in the local electrostatic field as well as the…

Soft Condensed Matter · Physics 2009-11-07 R. Podgornik , J. Dobnikar

The Casimir stress on a spherical shell in de Sitter background for massless scalar field satisfying Dirichlet boundary conditions on the shell is calculated. The metric is written in conformally flat form. Although the metric is time…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. R. Setare , R. Mansouri

We derive the radiation pressure force on a non-relativistic moving plate in 1+1 dimensions. We assume that a massless scalar field satisfies either Dirichlet or Neumann boundary conditions (BC) at the instantaneous position of the plate.…

High Energy Physics - Theory · Physics 2008-11-26 D. T. Alves , C. Farina , P. A. Maia Neto

We study the vacuum polarization (Casimir) energy in renormalizable, continuum quantum field theory in the presence of a background field, designed to impose Dirichlet boundary conditions on the fluctuating quantum field. In two and three…

High Energy Physics - Theory · Physics 2007-05-23 H. Weigel

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

We investigate the renormalized vacuum expectation values of the field square and the energy-momentum tensor for the electromagnetic field inside and outside of a conducting cylindrical shell in the cosmic string spacetime. By using the…

High Energy Physics - Theory · Physics 2008-11-26 E. R. Bezerra de Mello , V. B. Bezerra , A. A. Saharian

Electromagnetism in substance is characterized by permittivity (dielectric constant) and permeability (magnetic permeability). They describe the substance property {\it effectively}. We present a {\it geometric} approach to it. Some models…

Mesoscale and Nanoscale Physics · Physics 2012-09-04 Shoichi Ichinose

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…

High Energy Physics - Theory · Physics 2009-11-07 M. R. Setare

The Casimir effect for massless scalar fields satisfying Dirichlet boundary conditions on the parallel plates in the presence of one fractal extra compactified dimension is analyzed. We obtain the Casimir energy density by means of the…

High Energy Physics - Theory · Physics 2015-05-28 Hongbo Cheng

We calculate the next to the leading order Casimir effect for a real scalar field, within $\phi^4$ theory, confined between two parallel plates in three spatial dimensions with the Dirichlet boundary condition. In this paper we introduce a…

High Energy Physics - Theory · Physics 2009-04-03 Reza Moazzemi , Maryam Namdar , Siamak S. Gousheh

Based on calculations involving an idealized boundary condition, it has long been assumed that the stress on a spherical conducting shell is repulsive. We use the more realistic case of a Drude dielectric to show that the stress is…

High Energy Physics - Theory · Physics 2013-10-16 N. Graham , M. Quandt , H. Weigel

Vacuum expectation values of the field square and the energy-momentum tensor for the electromagnetic field are investigated for the geometry of a wedge with a coaxal cylindrical boundary. All boundaries are assumed to be perfectly…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Saharian

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…

Quantum Physics · Physics 2007-05-23 Francisco D. Mazzitelli

In this paper we compute the leading order Casimir energy for the electromagnetic field (EM) in an open ended perfectly conducting rectangular waveguide in three spatial dimensions by a direct approach. For this purpose we first obtain the…

High Energy Physics - Theory · Physics 2009-11-13 Madad Ali Valuyan , Reza Moazzemi , Siamak S. Gousheh

Differential force measurements between spheres coated with either nickel or gold and rotating disks with periodic distributions of nickel and gold are reported. The rotating samples are covered by a thin layer of titanium and a layer of…

Mesoscale and Nanoscale Physics · Physics 2016-06-06 G. Bimonte , D. Lopez , R. S. Decca