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We introduce a general, simple and effective method of evaluating the zero point energy of a quantum field under the influence of arbitrary boundary conditions imposed on the field on flat surfaces perpendicular to a chosen spatial…

量子物理 · 物理学 2007-05-23 F. C. Santos , A. C. Tort

Vacuum expectation values of the energy-momentum tensor and the Casimir forces are evaluated for scalar and electromagnetic fields in the geometry of two curved boundaries on background of the Robertson-Walker spacetime with negative…

高能物理 - 理论 · 物理学 2010-11-12 A. A. Saharian , M. R. Setare

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…

量子物理 · 物理学 2008-11-26 S. Rubin , J. Feinberg , A. Mann , M. Revzen

The Casimir effect has been studied for various quantum fields in both flat and curved spacetimes. As a further step along this line, we provide an explicit derivation of Casimir effect for massless spin-3/2 field with periodic boundary…

高能物理 - 理论 · 物理学 2009-03-19 Wenbiao Liu , Kui Xiao , Hongbao Zhang

Casimir energy for a massless scalar field for a conical wedge and a conical cavity are calculated. The group generated by the images is employed in deriving the Green functions as well as the wave functions and the energy spectrum.

高能物理 - 理论 · 物理学 2009-11-10 H. Ahmedov , I. H. Duru

We study the Casimir energy due to a quantum real scalar field coupled to two planar, infinite, zero-width, parallel mirrors with non-homogeneous properties. These properties are represented, in the model we use, by scalar functions defined…

高能物理 - 理论 · 物理学 2020-02-26 Cesar D. Fosco , Francisco D. Mazzitelli

We study the Casimir effect for scalar fields with general curvature coupling subject to mixed boundary conditions $(1+\beta_{m}n^{\mu}\partial_{\mu})\phi =0$ at $x=a_{m}$ on one ($m=1$) and two ($m=1,2$) parallel plates at a distance…

高能物理 - 理论 · 物理学 2008-11-26 A. Romeo , A. A. Saharian

The Averaged Null Energy Condition (ANEC) requires that the average along a complete null geodesic of the projection of the stress-energy tensor onto the geodesic tangent vector can never be negative. It is sufficient to rule out many…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Christopher J. Fewster , Ken D. Olum , Michael J. Pfenning

The vacuum (Casimir) energy in quantum field theory is a problem relevant both to new nanotechnology devices and to dark energy in cosmology. The crucial question is the dependence of the energy on the system geometry under study. Despite…

量子物理 · 物理学 2011-02-09 L. Kaplan

The Casimir effect is an interesting phenomenon in the sense that it provides us with one of the primitive means of extracting the energy out of the vacuum. Since the original work of Casimir a number of works have appeared in extending the…

高能物理 - 唯象学 · 物理学 2009-10-31 H. Abe , J. Hashida , T. Muta , A. Purwanto

The vacuum energy density (Casimir energy) corresponding to a massless scalar quantum field living in different universes (mainly no-boundary ones), in several dimensions, is calculated. Hawking's zeta function regularization procedure…

高能物理 - 理论 · 物理学 2011-08-17 E. Elizalde

Recent work in the literature had evaluated the energy-momentum tensor of a Casimir apparatus in a weak gravitational field, for an electromagnetic field subject to perfect conductor boundary conditions on parallel plates. The Casimir…

高能物理 - 理论 · 物理学 2008-11-26 Giampiero Esposito , George M. Napolitano , Luigi Rosa

New Casimir energy results for massless scalar field in some 3 -dimensional cavities are presented. We attempted to discuss the correlation between the sign and the magnitude of the energy and the shape of the cavities.

高能物理 - 理论 · 物理学 2017-08-23 H. Ahmedov , I. H. Duru

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…

高能物理 - 理论 · 物理学 2014-11-20 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

In this paper we compute the Casimir energy and force for massless scalar fields endowed with hybrid boundary conditions, in the setting of the bounded generalized cone. By using spectral zeta function regularization methods, we obtain…

高能物理 - 理论 · 物理学 2011-06-21 Guglielmo Fucci , Klaus Kirsten

In this paper we reconsider the formulation for the computation of the Casimir energy in spherically symmetric background potentials. Compared to the previous analysis, the technicalities are much easier to handle and final answers are…

高能物理 - 理论 · 物理学 2015-06-23 Matthew Beauregard , Michael Bordag , Klaus Kirsten

The effective one-loop potential on $R^{m+1}\times S^N$ spaces for massless tensor fields is evaluated. The Casimir energy is given as a value of $\zeta-$ function by means of which regularization is made. In even- dimensional spaces the…

量子物理 · 物理学 2007-05-23 E. N. Bukina , N. N. Shtykov

Vacuum fluctuations of quantum fields between physical objects depend on the shapes, positions, and internal composition of the latter. For objects of arbitrary shapes, even made from idealized materials, the calculation of the associated…

高能物理 - 格点 · 物理学 2020-10-27 M. N. Chernodub , Harold Erbin , I. V. Grishmanovskii , V. A. Goy , A. V. Molochkov

A novel formalism for the evaluation of the Casimir-Polder potential in an arbitrary gauge of vector potentials is introduced. The ground state energy of a neutral atom in the presence of an infinite two-dimensional plane with Chern-Simons…

高能物理 - 理论 · 物理学 2010-04-06 Valery N. Marachevsky , Yury M. Pis'mak

We calculate the energy-momentum tensor due to electromagnetic vacuum fluctuations between two parallel hyperplanes in more than four dimensions, considering both metallic and MIT boundary conditions. Using the axial gauge, the problem can…

量子物理 · 物理学 2008-11-26 H. Alnes , K. Olaussen , F. Ravndal , I. K. Wehus