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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…

高能物理 - 理论 · 物理学 2007-05-23 M. V. Cougo-Pinto , C. Farina , M. R. Negrao , A. Tort

The Casimir effect in a dispersive and absorbing multilayered system is considered adopting the (net) vacuum-field pressure point of view to the Casimir force. Using the properties of the macroscopic field operators appropriate for…

量子物理 · 物理学 2009-11-07 M. S. Tomas

We consider the quantization of a scalar kappa-deformed field up to the point of obtaining an expression for its vacuum energy. The expression is given by the half sum of the field frequencies, as in the non-deformed case, but with the…

高能物理 - 理论 · 物理学 2015-06-26 M. V. Cougo-Pinto , C. Farina , J. F. M. Mendes

The Casimir force between parallel plates of arbitrary kind is shown to be simply related to the plates transmission and reflection coefficient. A trivial application of this general relation leads to the known Lifshitz force between…

高能物理 - 理论 · 物理学 2007-05-23 O. Kenneth

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…

高能物理 - 理论 · 物理学 2015-06-26 H. Ahmedov , I. H. Duru

We find the exact Casimir force between a plate and a cylinder, a geometry intermediate between parallel plates, where the force is known exactly, and the plate--sphere, where it is known at large separations. The force has an unexpectedly…

统计力学 · 物理学 2009-11-11 T. Emig , R. L. Jaffe , M. Kardar , A. Scardicchio

We study the vacuum interaction of a scalar field and two concentric spheres defined by a singular potential on their surfaces. The potential is a linear combination of the Dirac-$\delta$ and its derivative. The presence of the delta prime…

高能物理 - 理论 · 物理学 2021-02-10 Ines Cavero-Pelaez , Jose M. Munoz-Castaneda , Cesar Romaniega

We investigate the Casimir effect for a massless scalar field confined between two parallel semitransparent mirrors in a vacuum modified by spontaneous Lorentz symmetry breaking. Using Green's function techniques and a point-splitting…

高能物理 - 理论 · 物理学 2025-10-01 Román Linares , C. A. Escobar , A. Martín-Ruiz , E. Plácido

The Casimir force has been computed exactly for only a few simple geometries, such as infinite plates, cylinders, and spheres. We show that a parabolic cylinder, for which analytic solutions to the Helmholtz equation are available, is…

The Casimir force between dissipative metallic mirrors at non zero temperature has recently given rise to contradictory claims which have raised doubts about the theoretical expression of the force. In order to contribute to the resolution…

量子物理 · 物理学 2007-05-23 Serge Reynaud , Astrid Lambrecht , Cyriaque Genet

We compute the Casimir force for a system composed of two layers as substrates within three different homogenous layers. We use the scattering approach along with the Matsubara formalism in order to calculate the Casimir force at finite…

软凝聚态物质 · 物理学 2015-07-30 A. Moradian , M. R. Setare , S. A. Seyedzahedi

The Casimir force can be understood as resulting from the radiation pressure exerted by the vacuum fluctuations reflected by boundaries. We extend this local formulation to the case of partially transmitting boundaries by introducing…

量子物理 · 物理学 2009-11-07 Marc-Thierry Jaekel , Serge Reynaud

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…

量子物理 · 物理学 2014-06-11 Nail Khusnutdinov , D. Drosdoff , Lilia M. Woods

We investigate the Casimir energy between two dissipative mirrors in term of a sum over mode formula which can be interpreted by analogy to a quantum dissipative oscillator. We also show that metamaterials engineered at scales between the…

量子物理 · 物理学 2016-11-15 F. Intravaia , C. Henkel

In order to compare recent experimental results with theoretical predictions we study the influence of finite conductivity of metals on the Casimir effect. The correction to the Casimir force and energy due to imperfect reflection and…

量子物理 · 物理学 2023-04-14 Astrid Lambrecht , Cyriaque Genet , Serge Reynaud

We study the Dynamical Casimir Effect resulting from the oscillatory motion of either one or two flat semitransparent mirrors, coupled to a quantum real and massless scalar field. Our approach is based on a perturbative evaluation, in the…

高能物理 - 理论 · 物理学 2017-09-13 C. D. Fosco , A. Giraldo , F. D. Mazzitelli

We compute the Casimir energy for a free scalar field on the spaces $\,R^{m+1}\,\times\,\tilde S^2\,$ where $,\tilde S^2\,$ is two-dimensional deformed two-sphere.

高能物理 - 理论 · 物理学 2016-09-06 N. ~Shtykov , D. ~V. ~Vassilevich

In discussions of the cosmological constant, the Casimir effect is often invoked as decisive evidence that the zero point energies of quantum fields are "real''. On the contrary, Casimir effects can be formulated and Casimir forces can be…

高能物理 - 理论 · 物理学 2009-11-11 R. L. Jaffe

We develop an exact method for computing the Casimir energy between arbitrary compact objects, either dielectrics or perfect conductors. The energy is obtained as an interaction between multipoles, generated by quantum current fluctuations.…

统计力学 · 物理学 2008-11-26 T. Emig , N. Graham , R. L. Jaffe , M. Kardar

We argue that the exactly computable, angle dependent, Casimir force between parallel plates with different directions of conductivity can be measured.

高能物理 - 理论 · 物理学 2009-12-31 O. Kenneth , S. Nussinov