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The finite temperature Casimir effect for a charged, massive scalar field confined between very large, perfectly conducting parallel plates is studied using the zeta function regularization technique. The scalar field satisfies Dirichlet…

高能物理 - 理论 · 物理学 2015-06-18 Andrea Erdas , Kevin P. Seltzer

The zeta function regularization technique is used to study the finite temperature Casimir effect for a charged and massless scalar field confined between parallel plates and satisfying Dirichlet boundary conditions at the plates. A…

高能物理 - 理论 · 物理学 2013-11-13 Andrea Erdas , Kevin P. Seltzer

In this work the Casimir effect is studied for scalar fields in the presence of boundaries and under the influence of arbitrary smooth potentials of compact support. In this setting, piston configurations are analyzed in which the piston is…

高能物理 - 理论 · 物理学 2013-02-27 Matthew Beauregard , Guglielmo Fucci , Klaus Kirsten , Pedro Morales

Using the zeta function regularization method we calculate the ground state energy of scalar massive field inside a spherical region in the space-time of a point-like global monopole. Two cases are investigated: (i) We calculate the Casimir…

高能物理 - 理论 · 物理学 2011-07-19 E. R. Bezerra de Mello , V. B. Bezerra , N. R. Khusnutdinov

In this paper we calculate the Casimir energy for spherical shell with massless self-interacting scalar filed which satisfying Dirichlet boundary conditions on the shell. Using zeta function regularization and heat kernel coefficients we…

高能物理 - 理论 · 物理学 2007-05-23 M. R. Setare , R. Mansouri

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…

高能物理 - 理论 · 物理学 2022-10-13 Andrea Erdas

A technique for evaluating the electromagnetic Casimir energy in situations involving spherical or circular boundaries is presented. Zeta function regularization is unambiguously used from the start and the properties of Bessel and related…

高能物理 - 理论 · 物理学 2009-10-30 S. Leseduarte , August Romeo

The Casimir force on two-dimensional pistons for massive scalar fields with both Dirichlet and hybrid boundary conditions is computed. The physical result is obtained by making use of generalized $\zeta$-function regularization technique.…

高能物理 - 理论 · 物理学 2009-03-12 Xiang-hua Zhai , Yan-yan Zhang , Xin-zhou Li

In this paper we utilize $\zeta$-function regularization techniques in order to compute the Casimir force for massless scalar fields subject to Dirichlet and Neumann boundary conditions in the setting of the conical piston. The piston…

高能物理 - 理论 · 物理学 2011-03-14 Guglielmo Fucci , Klaus Kirsten

The Casimir energy corresponding to a massive scalar field with Dirichlet boundary conditions on a spherical bag is obtained. The field is considered, separately, inside and outside the bag. The renormalization procedure that is necessary…

高能物理 - 理论 · 物理学 2008-11-26 M. Bordag , K. Kirsten , E. Elizalde , S. Leseduarte

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…

高能物理 - 理论 · 物理学 2015-05-28 Hongbo Cheng

The vacuum fluctuations give rise to a number of phenomena; however, the the Casimir Effect is arguably the most salient manifestation of the quantum vacuum. In its most basic form it is realized through the interaction of a pair of neutral…

综合物理 · 物理学 2011-08-31 Richard Obousy

In this study, the Casimir energy for massive scalar field with periodic boundary condition was calculated on spherical surfaces with $S^1$, $S^2$ and $S^3$ topologies. To obtain the Casimir energy on spherical surface, the contribution of…

高能物理 - 理论 · 物理学 2018-10-16 M. A. Valuyan

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…

高能物理 - 理论 · 物理学 2020-12-02 Andrea Erdas

We compute the Casimir Energy of a spherical region using a Surface Impedance approach. We characterize the Surface Impedance of the boundary using plasma model. Exact analytical formulae are obtained by means of the zeta function…

高能物理 - 理论 · 物理学 2012-11-20 Luigi Rosa

The Casimir effect for spherical geometry is calculated using generalized Thermofield Dynamics for the case of scalar field. Casimir force and Casimir pressure are presented. It is found that for high temperatures the Casimir force does…

高能物理 - 理论 · 物理学 2008-03-25 D. U. Matrasulov , Kh. T. Butanov , Kh. Yu. Rakhimov , F. C. Khanna , A. E. Santana

This work analyzes the Casimir energy of a massive spinor field propagating in flat space endowed with a spherically symmetric $\delta$-function potential. By utilizing the spectral zeta function regularization method, the Casimir energy is…

高能物理 - 理论 · 物理学 2023-06-16 Guglielmo Fucci , César Romaniega Sancho

The Casimir effect giving rise to an attractive force between the closely spaced two concentric spheres that confine the massless scalar field is calculated by using a direct mode summation with contour integration in the complex plane of…

量子物理 · 物理学 2012-07-19 Mustafa Ozcan

We consider the finite temperature Casimir free energy acting on a spherical shell in (D+1)-dimensional Minkowski spacetime due to the vacuum fluctuations of scalar and electromagnetic fields. Dirichlet, Neumann, perfectly conducting and…

数学物理 · 物理学 2015-06-15 L. P. Teo

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…

高能物理 - 理论 · 物理学 2015-05-30 Hongbo Cheng
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