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The paper attempts to solve the well known conflict between Relativity and Quantum Mechanics. Accordingly to our concept the instant correlations between the EPR-partners can be explained by some oscillations existence whose propagation…

Quantum Physics · Physics 2015-11-17 Alexander V. Belinsky , Michael H. Shulman

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.…

Statistical Mechanics · Physics 2008-11-26 T. Emig , N. Graham , R. L. Jaffe , M. Kardar

The Wightman function and the vacuum expectation values of the field squared and of the energy-momentum tensor are obtained, for a massive scalar field with an arbitrary curvature coupling parameter, in the region between two infinite…

High Energy Physics - Theory · Physics 2013-05-29 E. Elizalde , A. A. Saharian , T. A. Vardanyan

Using recently developed techniques based on scattering theory, we find the electromagnetic Casimir energy for geometries involving semi-infinite planes, a case that is of particular interest in the design of microelectromechanical devices.…

Quantum Physics · Physics 2011-06-20 Mohammad F. Maghrebi , Noah Graham

Casimir energy is calculated for 5D scalar theory in the {\it warped} geometry. A new regularization, called {\it sphere lattice regularization}, is taken. The regularized configuration is {\it closed-string like}. We numerically evaluate…

High Energy Physics - Theory · Physics 2015-03-17 Shoichi Ichinose

This paper derives a set of general relativistic Cardinal Equations for the equilibrium of an extended body in a uniform gravitational field. These equations are essential for a proper understanding of the mechanics of suspended…

High Energy Physics - Theory · Physics 2008-11-26 Giuseppe Bimonte , Enrico Calloni , Giampiero Esposito , Luigi Rosa

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…

Quantum Physics · Physics 2016-11-15 F. Intravaia , C. Henkel

This thesis consists on two separate parts. In the first part, we discuss about the nature of the Casimir effect as the response of a fluctuant medium to the breakdown of the translation symmetry because the presence of intrusions in that…

Quantum Physics · Physics 2012-07-05 Pablo Rodriguez-Lopez

The Casimir force between metallic plates made of realistic materials is evaluated for distances in the nanometer range. A spectrum over real frequencies is introduced and shows narrow peaks due to surface resonances (plasmon polaritons or…

An oldish question is resurrected concerning the significance of the ambiguous `b-type' terms encountered in calculations of the vacuum, Casimir energy on the Einstein Universe for conformally coupled scalar fields. Some remarks in the…

High Energy Physics - Theory · Physics 2024-03-07 J. S. Dowker

A perfectly reflecting (Dirichlet) boundary condition at the edge of an impenetrable magnetic-flux-carrying tube of nonzero transverse size is imposed on the charged massive scalar matter field which is quantized outside the tube. We show…

High Energy Physics - Theory · Physics 2016-10-06 V. M. Gorkavenko , Yu. A. Sitenko , O. B. Stepanov

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…

High Energy Physics - Lattice · Physics 2020-10-27 M. N. Chernodub , Harold Erbin , I. V. Grishmanovskii , V. A. Goy , A. V. Molochkov

In [5] we investigated the response of vacuum energy to a gravitational field by considering a Casimir apparatus in a weak gravitational field. Our approach was based on a conjecture involving the interpretation of spacetime as a refractive…

General Relativity and Quantum Cosmology · Physics 2012-03-01 B. Nazari , M. Nouri-Zonoz

We consider the Casimir effect between two parallel plates localized on a brane. In order to properly compute the contribution to the Casimir energy due to any higher dimensional field, it is necessary to take into account the localization…

High Energy Physics - Theory · Physics 2009-12-30 Antonino Flachi , Takahiro Tanaka

In this paper we examine the Casimir effect for charged fields in presence of external magnetic field. We consider scalar field (connected with spinless particles) and the Dirac field (connected with 1/2-spin particles). In both cases we…

High Energy Physics - Theory · Physics 2007-05-23 Marcin Ostrowski

We review the concept of infinity as applied to regularization procedures in Quantum Electrodynamics. A clear distinction that is lacking in current literature is made between the physical contents of renormalization, and the mathematical…

Mathematical Physics · Physics 2011-07-25 J. Barcenas , L. Reyes , R. Esquivel--Sirvent

In this short paper we make use of the recent covariant extension of the generalised uncertainty principle to study the corrections to the vacuum energy of the simplest scalar quantum field theory. We then calculate the modifications to the…

General Relativity and Quantum Cosmology · Physics 2024-04-08 Akshat Pandey

We compute the Casimir energy which arises in a bi-dimensional surface due to the quantum fluctuations of a scalar field. We assume that the boundaries are irregular and the field obeys Dirichlet condition. We re-parametrize the problem to…

High Energy Physics - Theory · Physics 2014-01-29 B. Droguett , J. C. Rojas

We calculate the renormalized vacuum energy of a massless scalar field confined between two nearby parallel plates formed by ideal uncharged conductors, placed tangentially to the surface of a sphere with mass M and radius R. This study…

General Relativity and Quantum Cosmology · Physics 2014-02-18 C. R. Muniz , V. B. Bezerra , M. S. Cunha

Casimir energy is a nonlocal effect; its magnitude cannot be deduced from heat kernel expansions, even those including the integrated boundary terms. On the other hand, it is known that the divergent terms in the regularized (but not yet…

Quantum Physics · Physics 2008-11-26 S. A. Fulling