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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…

High Energy Physics - Theory · Physics 2009-10-30 S. Leseduarte , August Romeo

The moving-mirror problem is microscopically formulated without invoking the external boundary conditions. The moving mirrors are described by the quantized matter field interacting with the photon field, forming dynamical cavity…

Quantum Physics · Physics 2009-11-07 Hiroki Saito , Hiroyuki Hyuga

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…

High Energy Physics - Theory · Physics 2015-05-28 Hongbo Cheng

Several years ago Schwinger proposed a physical mechanism for sonoluminescence in terms of changes in the properties of the quantum-electrodynamic (QED) vacuum state. This mechanism is most often phrased in terms of changes in the Casimir…

Quantum Physics · Physics 2009-10-31 Stefano Liberati , Matt Visser , Francesco Belgiorno , Dennis Sciama

We consider the scenario in which a damped three-level atom in the ladder or V configurations is coupled to a single cavity mode whose vacuum state is amplified by dint of the dynamical Casimir effect. We obtain approximate analytical…

Quantum Physics · Physics 2012-06-12 A. V. Dodonov , V. V. Dodonov

According to the experimentally observed theory of the static Casimir effect, two metal, uncharged, conductive and flat plates attract each other in vacuum >.Herein, equations of motion of the plates which are influenced by Casimir…

General Physics · Physics 2007-05-23 Mohammad Mansouryar

For one-dimensional vibrating cavity systems appearing in the standard illustration of the dynamical Casimir effect, we propose an approach to the construction of exact closed-form solutions. As new results, we obtain solutions that are…

Quantum Physics · Physics 2009-11-13 Pawel Wegrzyn

In this paper, we study the Casimir effect in a curved spacetime described by gravitational actions quadratic in the curvature. In particular, we consider the dynamics of a massless scalar field confined between two nearby plates and…

General Relativity and Quantum Cosmology · Physics 2019-02-04 Luca Buoninfante , Gaetano Lambiase , Luciano Petruzziello , Antonio Stabile

The experimental observation of intense light emission by acoustically driven, periodically collapsing bubbles of air in water (sonoluminescence) has yet to receive an adequate explanation. One of the most intriguing ideas is that the…

High Energy Physics - Theory · Physics 2009-10-30 Kimball A. Milton , Y. Jack Ng

The Casimir effect, reflecting quantum vacuum fluctuations in the electromagnetic field in a region with material boundaries, has been studied both theoretically and experimentally since 1948. The forces between dielectric and metallic…

Quantum Physics · Physics 2009-11-13 Iver Brevik , Simen A. Ellingsen , Kimball A. Milton

We calculate the second order roughness correction to the Casimir energy for two parallel metallic mirrors. Our results may also be applied to the plane-sphere geometry used in most experiments. The metallic mirrors are described by the…

Quantum Physics · Physics 2016-09-08 Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

Vacuum polarization (or Casimir) energies can be straightforwardly computed from scattering data for static field configurations whose interactions with the fluctuating field are frequency independent. In effective theories, however,such…

High Energy Physics - Theory · Physics 2014-10-08 N. Graham , M. Quandt , H. Weigel

We adopt an open quantum system approach to study the effects of the back-reaction from a quantum field onto the dynamics of a moving mirror. We describe the coupling between the mirror and the field by using a microscopic model from which…

Quantum Physics · Physics 2023-12-05 Salvatore Butera

The static Casimir effect describes an attractive force between two conducting plates, due to quantum fluctuations of the electromagnetic (EM) field in the intervening space. {\it Thermal fluctuations} of correlated fluids (such as critical…

Condensed Matter · Physics 2008-11-26 Mehran Kardar , Ramin Golestanian

In this paper we discuss the Casimir effect in a small cavity, freely falling from spatial infinity in spacetime geometry outside of a Schwarzschild black hole. Our main goal is to search for possible changes in the vacuum energy, as well…

General Relativity and Quantum Cosmology · Physics 2019-11-20 Francesco Sorge , Justin H. Wilson

Radiation from accelerating mirrors in a Minkowski spacetime provides insights into the nature of horizons, black holes, and entanglement entropy. We introduce new, simple, symmetric and analytic moving mirror solutions and study their…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Michael R. R. Good , Eric V. Linder

We extend our previous work on a derivative expansion for the Casimir energy, to the case of the electromagnetic field coupled to two thin, imperfect mirrors. The latter are described by means of vacuum polarization tensors localized on the…

High Energy Physics - Theory · Physics 2015-06-04 Cesar D. Fosco , Fernando C. Lombardo , Francisco D. Mazzitelli

We model the one-dimensional `classical' vacuum by a system of annihilating Brownian motions on $\mathbb{R}$ with pairwise immigration. A pair of reflecting or absorbing walls placed in such a vacuum at separation $L$ experiences an…

Probability · Mathematics 2024-09-24 Ruibo Kou , Roger Tribe , Oleg Zaboronski

We compute the Casimir energy of a real scalar field in the presence of a pair of partially transparent plane mirrors, modeled by Dirac delta potentials.

High Energy Physics - Theory · Physics 2007-05-23 R. M. Cavalcanti

We study the situation where two point like mirrors are placed in the vacuum state of a scalar field in a two-dimensional spacetime. Describing the scattering upon the mirrors by transmittivity and reflectivity functions obeying unitarity,…

Quantum Physics · Physics 2023-04-14 Marc-Thierry Jaekel , Serge Reynaud