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We consider a massless scalar field in 1+1 dimensions satisfying a Robin boundary condition (BC) at a non-relativistic moving boundary. We derive a Bogoliubov transformation between input and output bosonic field operators, which allows us…

High Energy Physics - Theory · Physics 2009-11-11 B Mintz , C Farina , P A Maia Neto , R B Rodrigues

We consider a massless scalar field in 1+1 dimensions that satisfies a Robin boundary condition at a non-relativistic moving boundary. Using the perturbative approach introduced by Ford and Vilenkin, we compute the total force on the moving…

High Energy Physics - Theory · Physics 2007-05-23 B. Mintz , C. Farina , P. A. Maia Neto , R. Rodrigues

We consider a massless scalar field in 1+1 dimensions inside a cavity composed by a fixed plate, which imposes on the field a Robin BC, and an oscillating one, which imposes on the field a Dirichlet BC. Assuming that the plate moves for a…

High Energy Physics - Theory · Physics 2017-08-23 C. Farina , F. Pascoal , D. Azevedo

We calculate the spectrum and the total rate of created particles for a real massless scalar field in $1+1$ dimensions, in the presence of a partially transparent moving mirror simulated by a Dirac $\delta-\delta^{\prime}$ point…

Quantum Physics · Physics 2016-11-15 Jeferson Danilo L. Silva , Alessandra N. Braga , Danilo T. Alves

Motivated by experiments in which moving boundaries are simulated by time-dependent properties of static systems, we discuss the model of a massless scalar field submitted to a time-dependent Robin boundary condition (BC) at a static mirror…

Quantum Physics · Physics 2015-06-03 C. Farina , Hector O. Silva , Andreson L. C. Rego , Danilo T. Alves

We consider a real massless scalar field in 1+1 dimensions satisfying time-dependent Robin boundary condition at a static wall. This condition can simulate moving reflecting mirrors whose motions are determined by the time-dependence of the…

High Energy Physics - Theory · Physics 2011-08-12 Hector O. Silva , C. Farina

In the present paper, we show that a partially reflecting static mirror with time-dependent properties can produce, via dynamical Casimir effect in the context of a massless scalar field in $1+1$ dimensions, a larger number of particles…

The interaction between the quantum vacuum and time-dependent boundaries can produce particles via the dynamical Casimir effect. It is known that, for asymmetric Casimir systems, there is an imbalance in the particle production on either…

Quantum Physics · Physics 2023-10-04 Matthew J. Gorban , William D. Julius , Ramesh Radhakrishnan , Gerald B. Cleaver

We analyze the dynamical Casimir effect for a massless scalar field confined between two concentric spherical shells which impose on the field mixed boundary conditions. We thus complement a previous result [Phys. Rev. A \textbf{78}, 032521…

Quantum Physics · Physics 2009-04-27 F. Pascoal , L. C. Céleri , S. S. Mizrahi , M. H. Y. Moussa , C. Farina

We derive the radiation pressure force on a non-relativistic moving plate in 1+1 dimensions. We assume that a massless scalar field satisfies either Dirichlet or Neumann boundary conditions (BC) at the instantaneous position of the plate.…

High Energy Physics - Theory · Physics 2008-11-26 D. T. Alves , C. Farina , P. A. Maia Neto

In this thesis, we investigate the dynamical Casimir effect, the creation of particles from vacuum by dynamical boundary conditions or dynamical background, and its backreaction to the motion of the boundary. The backreaction of particle…

High Energy Physics - Theory · Physics 2024-05-17 Yu-Cun Xie

We present a study of the static and dynamical Casimir effects for a quantum field theory satisfying generalized Robin boundary condition, of a kind that arises naturally within the context of quantum circuits. Since those conditions may…

High Energy Physics - Theory · Physics 2015-06-15 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

The dynamical Casimir effect for a massless scalar field in 1+1-dimensions is studied numerically by solving a system of coupled first-order differential equations. The number of scalar particles created from vacuum is given by the…

Quantum Physics · Physics 2009-11-13 Marcus Ruser

We evaluate the Casimir energy and force for a massive scalar field with general curvature coupling parameter, subject to Robin boundary conditions on two codimension-one parallel plates, located on a $(D+1)$-dimensional background…

High Energy Physics - Theory · Physics 2009-12-10 E. Elizalde , S. D. Odintsov , A. A. Saharian

In this work we consider the dynamical Casimir effect for a massless scalar field -- under Dirichlet boundary conditions -- between two concentric spherical shells. We obtain a general expression for the average number of particle creation,…

Quantum Physics · Physics 2009-11-13 F. Pascoal , L. C. Céleri , S. S. Mizrahi , M. H. Y. Moussa

In this paper we investigate the problem of fermion creation inside a three dimensional box. We present an appropriate wave function which satisfies the Dirac equation in this geometry with MIT bag model boundary condition. We consider…

High Energy Physics - Theory · Physics 2015-06-04 M. R. Setare , A. Seyedzahedi

We compute the photon creation inside a perfectly conducting, three dimensional oscillating cavity, taking the polarization of the electromagnetic field into account. As the boundary conditions for this field are both of Dirichlet and…

Quantum Physics · Physics 2008-11-26 Martin Crocce , Diego A. R. Dalvit , Francisco D. Mazzitelli

We study analytically the time-dependent boundary conditions of superconducting microwave circuit experiments in the high plasma frequency limit, in which the conditions are Robin-type and relate the value of the field to the spatial…

Quantum Physics · Physics 2015-02-19 Jason Doukas , Jorma Louko

We study the Dynamical Casimir Effect (DCE) for a real scalar field $\varphi$ in $d+1$ dimensions, in the presence of a mirror that imposes Dirichlet boundary conditions and undergoes time-dependent motion or deformation. Using a…

High Energy Physics - Theory · Physics 2026-05-19 B. C. Guntsche , C. D. Fosco

We present a detailed description of a quantum scalar field theory within a flat spacetime confined to a cavity with perfectly reflecting moving boundaries. Moreover, we establish an equivalence between this time-dependent setting and a…

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