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We consider a real massless scalar field in a two-dimensional spacetime, satisfying Dirichlet or Neumann boundary condition at the instantaneous position of a moving boundary. For a relativistic law of motion, we show that Dirichlet and…

High Energy Physics - Theory · Physics 2008-11-26 Danilo T. Alves , Edney R. Granhen , Mateus G. Lima

We consider a massless scalar field in 1+1 dimensions that satisfies a Robin boundary condition at a non-relativistic moving boundary. Using the perturbative approach introduced by Ford and Vilenkin, we compute the total force on the moving…

High Energy Physics - Theory · Physics 2007-05-23 B. Mintz , C. Farina , P. A. Maia Neto , R. Rodrigues

We compute the finite temperature Casimir energy for massive scalar field with general curvature coupling subject to Dirichlet or Neumann boundary conditions on the walls of a closed cylinder with arbitrary cross section, located in a…

High Energy Physics - Theory · Physics 2009-12-04 L. P. Teo

We consider a massless scalar field in 1+1 dimensions inside a cavity composed by a fixed plate, which imposes on the field a Robin BC, and an oscillating one, which imposes on the field a Dirichlet BC. Assuming that the plate moves for a…

High Energy Physics - Theory · Physics 2017-08-23 C. Farina , F. Pascoal , D. Azevedo

In this work I investigate the finite temperature Casimir effect due to a massive and charged scalar field that breaks Lorentz invariance in a CPT-even, aether-like way. I study the cases of Dirichlet and mixed (Dirichlet-Neumann) boundary…

High Energy Physics - Theory · Physics 2021-08-11 Andrea Erdas

This paper studies the Casimir effect due to fractional massless Klein-Gordon field confined to parallel plates. A new kind of boundary condition called fractional Neumann condition which involves vanishing fractional derivatives of the…

High Energy Physics - Theory · Physics 2018-10-31 C. H. Eab , S. C. Lim , L. P. Teo

Motivated by experiments in which moving boundaries are simulated by time-dependent properties of static systems, we discuss the model of a massless scalar field submitted to a time-dependent Robin boundary condition (BC) at a static mirror…

Quantum Physics · Physics 2015-06-03 C. Farina , Hector O. Silva , Andreson L. C. Rego , Danilo T. Alves

We consider the thermal Casimir effect in systems of parallel plates coupled to a mass-less free field theory via quadratic interaction terms which suppress (i) the field on the plates (ii) the gradient of the field in the plane of the…

Statistical Mechanics · Physics 2009-01-27 David S. Dean

We study the Dirichlet Casimir effect for a complex scalar field on two noncommutative spatial coordinates plus a commutative time. To that end, we introduce Dirichlet-like boundary conditions on a curve contained in the spatial plane, in…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , G. A. Moreno

In this paper I study the Casimir effect caused by a charged and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. I investigate the case of a scalar field that satisfies Dirichlet or mixed…

High Energy Physics - Theory · Physics 2020-12-02 Andrea Erdas

We consider a real massless scalar field in 3+1 dimensions satisfying a Robin boundary condition at a nonrelativistic moving mirror. Considering vacuum as the initial field state, we compute explicitly the number of particles created per…

Quantum Physics · Physics 2013-03-12 Andreson L. C. Rego , B. W. Mintz , C. Farina , Danilo T. Alves

We consider the finite temperature Casimir force acting on two parallel plates in a closed cylinder with the same cross section of arbitrary shape in the presence of extra dimensions. Dirichlet boundary conditions are imposed on one plate…

High Energy Physics - Theory · Physics 2017-08-23 L. P. Teo , K. Kirsten

Dirichlet boundary conditions on a surface can be imposed on a scalar field, by coupling it quadratically to a $\delta$-like potential, the strength of which tends to infinity. Neumann conditions, on the other hand, require the introduction…

High Energy Physics - Theory · Physics 2014-11-20 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

The Casimir forces on two parallel plates in conformally flat de Sitter background due to conformally coupled massless scalar field satisfying mixed boundary conditions on the plates is investigated. In the general case of mixed boundary…

High Energy Physics - Theory · Physics 2016-09-06 M. R. Setare

We investigate the dynamic Casimir effect (DCE) of a $1+1$ dimensional free massless scalar field in a finite or semi-infinite cavity for which the boundary condition (BC) instantaneously changes from the Neumann to Dirichlet BC or…

High Energy Physics - Theory · Physics 2019-01-30 Umpei Miyamoto

We evaluate the Casimir energy and force for a massive scalar field with general curvature coupling parameter, subject to Robin boundary conditions on two codimension-one parallel plates, located on a $(D+1)$-dimensional background…

High Energy Physics - Theory · Physics 2009-12-10 E. Elizalde , S. D. Odintsov , A. A. Saharian

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 study the Casimir effect at finite temperature for a massless scalar field in the parallel plates geometry in N spatial dimensions, under various combinations of Dirichlet and Neumann boundary conditions on the plates. We show that in…

Quantum Physics · Physics 2008-11-26 S. Rubin , J. Feinberg , A. Mann , M. Revzen

We analyze the dynamical Casimir effect for a massless scalar field confined between two concentric spherical shells which impose on the field mixed boundary conditions. We thus complement a previous result [Phys. Rev. A \textbf{78}, 032521…

Quantum Physics · Physics 2009-04-27 F. Pascoal , L. C. Céleri , S. S. Mizrahi , M. H. Y. Moussa , C. Farina

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
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