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The Casimir effect for Dirac as well as for scalar charged particles is influenced by external magnetic fields. It is also influenced by finite temperature. Here we consider the Casimir effect for a charged scalar field under the combined…

High Energy Physics - Theory · Physics 2007-05-23 M. V. Cougo-Pinto , C. Farina , M. R. Negrao , A. Tort

We investigate the vacuum expectation values for the energy-momentum tensor of a massive scalar field with general curvature coupling and obeying the Robin boundary condition on a spherical shell in the $D+1$-dimensional global monopole…

High Energy Physics - Theory · Physics 2009-11-10 A. A. Saharian , 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

In this study, we examine the role of the repulsive Casimir force in counteracting the gravitational contraction of a thin spherically symmetric shell. Our main focus is to explore the possibility of achieving a stable balanced…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Leonardo Bellinato Giacomelli , Benjamin Koch , Iva Lovrekovic , Angel Rincon

The vacuum expectation values of the field squared and the energy-momentum tensor are investigated for a scalar field with Dirichlet boundary conditions and for the electromagnetic field inside a wedge with a coaxial cylindrical boundary.…

High Energy Physics - Theory · Physics 2011-06-10 A. A. Saharian

We discuss the Casimir effect for massless scalar fields subject to the Dirichlet boundary conditions on the parallel plates at finite temperature in the presence of one fractal extra compactified dimension. We obtain the Casimir energy…

High Energy Physics - Theory · Physics 2015-05-30 Hongbo Cheng

Vacuum energy density and stresses are investigated for a scalar field with general curvature coupling parameter in (D+1)-dimensional de Sitter spacetime with an arbitrary number of toroidally compactified spatial dimensions. The…

High Energy Physics - Theory · Physics 2009-04-24 A. A. Saharian

Two-point functions, mean-squared fluctuations, and the vacuum expectation value of the energy-momentum tensor operator are investigated for a massive scalar field with an arbitrary curvature coupling parameter, subject to a spherical…

High Energy Physics - Theory · Physics 2012-03-06 K. Milton , A. A. Saharian

We calculate the Casimir force on an isolated dielectric sphere in an ensemble of $N$ spheres due to multiple mutual interactions of the collection of spheres. In particular we consider dielectric spheres immersed in some other background…

Quantum Physics · Physics 2010-05-07 James Babington , Stefan Scheel

We treat the two-dimensional Achucarro-Ortiz black hole (also known as (1+1) dilatonic black hole) as a Casimir-type system. The stress tensor of a massless scalar field satisfying Dirichlet boundary conditions on two one-dimensional…

High Energy Physics - Theory · Physics 2009-11-10 Elias C. Vagenas

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…

Quantum Physics · Physics 2018-03-23 Michael Bordag , Irina G. Pirozhenko

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

Casimir interactions (due to the massless scalar field fluctuations) of two surfaces which are close to each other are studied. After a brief general presentation, explicit calculations for co-axial cylinders, co-centric spheres and…

High Energy Physics - Theory · Physics 2015-06-26 H. Ahmedov , I. H. Duru

Casimir energy changes are investigated for geometries obtained by small but arbitrary deformations of a given geometry for which the vacuum energy is already known for the massless scalar field. As a specific case, deformation of a…

High Energy Physics - Theory · Physics 2009-11-13 H. Ahmedov , I. H. Duru

In this paper we study the Casimir effect for conformally coupled massless scalar fields on background of Static dS$_{4+1}$ spacetime. We will consider the general plane--symmetric solutions of the gravitational field equations and boundary…

High Energy Physics - Theory · Physics 2007-05-23 M R Setare

We study the Casimir piston for massless scalar fields obeying Dirichlet boundary conditions in a three dimensional cavity with sides of arbitrary lengths $a,b$ and $c$ where $a$ is the plate separation. We obtain an exact expression for…

High Energy Physics - Theory · Physics 2008-11-26 Ariel Edery

The leading semiclassical estimates of the electromagnetic Casimir stresses on a spherical and a cylindrical metallic shell are within 1% of the field theoretical values. The electromagnetic Casimir energy for both geometries is given by…

Quantum Physics · Physics 2015-05-19 Martin Schaden

The method of images is used to calculate the Casimir energy in Euclidean space with Dirichlet boundary conditions for two planar models, namely: i. the non-relativistic Landau problem for a charged particle of mass m for which -…

High Energy Physics - Theory · Physics 2015-05-13 S. G. Kamath

We analyze the Casimir densities and forces associated with a massive scalar quantum field confined between two parallel plates in a D-dimensional cosmic string spacetime. The plates are placed orthogonal to the string and the field obeys…

High Energy Physics - Theory · Physics 2018-05-03 E. R. Bezerra de Mello , A. A. Saharian , S. V. Abajyan

An expression for the Casimir stress on arbitrary dispersive and lossy linear magnetodielectric matter at finite temperature, including left-handed material, is derived and applied to spherical systems. To cast the relevant part of the…

Quantum Physics · Physics 2007-05-23 Christian Raabe , Ludwig Knöll , Dirk-Gunnar Welsch