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The survey summarizes briefly the results obtained recently in the Casimir effect studies considering the following subjects: i) account of the material characteristics of the media and their influence on the vacuum energy (for example,…

High Energy Physics - Theory · Physics 2007-05-23 V. V. Nesterenko

The Casimir energy of a semi-circular cylindrical shell is calculated by making use of the zeta function technique. This shell is obtained by crossing an infinite circular cylindrical shell by a plane passing through the symmetry axes of…

High Energy Physics - Theory · Physics 2009-10-31 V. V. Nesterenko , G. Lambiase , G. Scarpetta

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…

Quantum Physics · Physics 2009-11-07 M. S. Tomas

We consider a Casimir cavity, one plate of which is a thin superconducting film. We show that when the cavity is cooled below the critical temperature for the onset of superconductivity, the sharp variation (in the far infrared) of the…

Quantum Physics · Physics 2011-07-19 Giuseppe Bimonte , Enrico Calloni , Giampiero Esposito , Leopoldo Milano , Luigi Rosa

The Casimir energy of an infinite compact cylinder placed in a uniform unbounded medium is investigated under the continuity condition for the light velocity when crossing the interface. As a characteristic parameter in the problem the…

High Energy Physics - Theory · Physics 2016-08-25 V. V. Nesterenko , I. G. Pirozhenko

It is familiar that the Casimir self-energy of a homogeneous dielectric ball is divergent, although a finite self-energy can be extracted through second order in the deviation of the permittivity from the vacuum value. The exception occurs…

High Energy Physics - Theory · Physics 2018-03-02 Kimball Milton , Iver Brevik

The Casimir effect, which predicts the emergence of an attractive force between two parallel, highly reflecting plates in vacuum, plays a vital role in various fields of physics, from quantum field theory and cosmology to nanophotonics and…

Quantum Physics · Physics 2022-03-29 Daniel Hodgson , Christopher Burgess , M. Basil Altaie , Almut Beige , Robert Purdy

We want to study the Casimir effect for a single conducting microscopic cylindrical cavity. The mathematical technique is based on the Green function of the geometry of the inside of the cavity, and the integral regularization is based on…

Quantum Physics · Physics 2016-01-28 H. Razmi , S. M. Shirazi

Julian Schwinger became interested in the Casimir effect in 1975. His original impetus was to understand the quantum force between parallel plates without the concept of zero point fluctuations of field quanta, in the language of source…

High Energy Physics - Theory · Physics 2007-05-23 K. A. Milton

The Casimir surface force density F on a dielectric dilute spherical ball of radius a, surrounded by a vacuum, is calculated at zero temperature. We treat (n-1) (n being the refractive index) as a small parameter. The dispersive properties…

High Energy Physics - Theory · Physics 2009-01-14 Iver Brevik , Valery Marachevsky

As a continuation of the work in \cite{mns}, we discuss the Casimir effect for a massless bulk scalar field in a 4D toy model of a 6D warped flux compactification model,to stabilize the volume modulus. The one-loop effective potential for…

High Energy Physics - Theory · Physics 2008-11-26 Emilio Elizalde , Masato Minamitsuji , Wade Naylor

A simple method for calculating the Casimir energy for a sphere is developed which is based on a direct mode summation and counter integration in a complex plane of eigenfrequencies. The method uses only classical equations determining the…

High Energy Physics - Theory · Physics 2009-10-30 V. V. Nesterenko , I. G. Pirozhenko

In this work, we consider a Casimir apparatus that is put into free fall (e.g., falling into a black hole). Working in 1+1D, we find that two main effects occur: First, the Casimir energy density experiences a tidal effect where negative…

High Energy Physics - Theory · Physics 2020-03-19 Justin H. Wilson , Francesco Sorge , Stephen A. Fulling

We consider the vacuum energy for a scalar field subject to a frequency dependent boundary condition. The effect of a frequency cut-off is described in terms of an {\it incomplete} $\zeta$-function. The use of the Debye asymptotic expansion…

High Energy Physics - Theory · Physics 2016-08-15 H. Falomir , K. Rébora , M. Loewe

The Casimir effect refers to the existence of a macroscopic force between conducting plates in vacuum due to quantum fluctuations of fields. These forces play an important role, among other things, in the design of nano-scale mechanical…

High Energy Physics - Theory · Physics 2015-06-03 Dimitra Karabali

Sonoluminescence is explained in terms of quantum radiation by moving interfaces between media of different polarizability. It can be considered as a dynamic Casimir effect, in the sense that it is a consequence of the imbalance of the…

Quantum Physics · Physics 2008-11-26 Claudia Eberlein

In this work, it is shown that a non-zero vacuum energy density (the Casimir energy) for a scalar field appears in a continuous elastic solid due to the presence of a topological defect, the screw dislocation. An exact expression is…

Condensed Matter · Physics 2007-05-23 Ivan Pontual , Fernando Moraes

A general, exact formula is derived for the expectation value of the electromagnetic energy density of an inhomogeneous absorbing and dispersive dielectric medium in thermal equilibrium, assuming that the medium is well approximated as a…

Quantum Physics · Physics 2015-05-28 F. S. S. Rosa , D. A. R. Dalvit , P. W. Milonni

The phenomenon of sonoluminescence (SL), originally observed some sixty years ago, has recently become the focus of renewed interest, particularly with the discovery that one can trap a single bubble and induce it to exhibit SL stably over…

High Energy Physics - Phenomenology · Physics 2016-09-01 Alan Chodos

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…

High Energy Physics - Theory · Physics 2011-08-17 E. Elizalde