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The dielectric sphere has been an important test case for understanding and calculating the vacuum force of a dielectric body onto itself. Here we develop a method for computing this force in homogeneous spheres of arbitrary dielectric…

Quantum Physics · Physics 2018-08-01 Yael Avni , Ulf Leonhardt

We use a functional approach to study various aspects of the quantum effective dynamics of moving, planar, dispersive mirrors, coupled to scalar or Dirac fields, in different numbers of dimensions. We first compute the Euclidean effective…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We study the Casimir effect in the presence of an extra dimension compactified on a circle of radius R ($M^4\times S^1$ spacetime). Our starting point is the Kaluza Klein decomposition of the 5D Maxwell action into a massless sector…

High Energy Physics - Theory · Physics 2011-04-28 Ariel Edery , Valery Marachevsky

We study novel contributions to the partition function of the Maxwell system defined on a small compact manifold ${\mathbb{M}}$ with nontrivial mappings $\pi_1[U(1)]\cong\mathbb{Z}$. These contributions cannot be described in terms of…

High Energy Physics - Theory · Physics 2017-03-29 Yuan Yao , Ariel R. Zhitnitsky

Real photon pairs can be created in a dynamic cavity with periodically modulated refractive index of the constituent media or oscillating boundaries. This effect is called Dynamic Casimir effect (DCE), which represents one of the most…

Optics · Physics 2018-12-06 Shaojie Ma , Haixing Miao , Yuanjiang Xiang , Shuang Zhang

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…

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

In the present article we solve the Dirac-Pauli and Klein Gordon equations in an asymptotically uniformly accelerated frame when a constant magnetic field is present. We compute, via the Bogoliubov coefficients, the density of scalar and…

High Energy Physics - Theory · Physics 2009-10-31 Victor M. Villalba , Juan Mateu

We use the generalized Chowla-Selberg formula to consider the Casimir effect of a scalar field with a helix torus boundary condition in the flat ($D+1$)-dimensional spacetime. We obtain the exact results of the Casimir energy density and…

High Energy Physics - Theory · Physics 2015-05-28 Xiang-hua Zhai , Xin-zhou Li , Chao-Jun Feng

The Casimir effect, the dispersion force attracting neutral objects to each other, may be understood in terms of multiple scattering of light between the interacting bodies. We explore the simple model in which the bodies are assumed to…

Quantum Physics · Physics 2010-04-29 Simen Å. Ellingsen

We consider a region of Minkowski spacetime bounded either by one or by two parallel, infinitely extended plates orthogonal to a spatial direction and a real Klein-Gordon field satisfying Dirichlet boundary conditions. We quantize these two…

Mathematical Physics · Physics 2015-10-01 Claudio Dappiaggi , Gabriele Nosari , Nicola Pinamonti

The Casimir effect is a quantum phenomenon induced by the zero-point energy of relativistic fields confined in a finite-size system. This effect for photon fields has been studied for a long time, while the realization of counterparts for…

Mesoscale and Nanoscale Physics · Physics 2023-06-22 Katsumasa Nakayama , Kei Suzuki

We compute an analog Casimir effect in a one-dimensional spinless Luttinger liquid confined to a segment in the presence of a nearly-impenetrable partition dividing the segment into two compartments. The Casimir interaction is found to be a…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Eugene B. Kolomeisky , Joseph P. Straley , Michael Timmins

In this talk I show how to canonically quantize a massless scalar field in the background of a Schwarzschild black hole in Lema\^itre coordinates and then present a simplified derivation of Hawking radiation based upon this procedure. The…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Marvin Weinstein

We study the field theoretical model of a scalar field in presence of spacial inhomogeneities in form of one and two finite width mirrors (material slabs). The interaction of the scalar field with the defect is described with…

High Energy Physics - Theory · Physics 2014-11-20 Ignat V. Fialkovsky , Vladimir N. Markov , Yuriy M. Pis'mak

The Casimir energy for massless scalar field which satisfies priodic boundary conditions in two-dimensional domain wall background is calculated by making use of general properties of renormalized stress-tensor. The line element of domain…

High Energy Physics - Theory · Physics 2015-06-26 M. R. Setare

We study the Casimir effect with different temperatures between the plates ($T$) resp. outside of them ($T'$). If we consider the inner system as the black body radiation for a special geometry, then contrary to common belief the…

Quantum Physics · Physics 2007-05-23 H. Mitter , D. Robaschik

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…

Quantum Physics · Physics 2007-05-23 Serge Reynaud , Astrid Lambrecht , Cyriaque Genet

Understanding the nature of dark energy and dark matter is one of modern physics' greatest open problems. Scalar-tensor theories with screened scalar fields like the chameleon model are among the most popular proposed solutions. In this…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Ana Lucía Báez-Camargo , Daniel Hartley , Christian Käding , Ivette Fuentes-Guridi

We theoretically investigate the dynamical Casimir effect in a single-mode cavity endowed with a driven off-resonant mirror. We explore the dynamics of photon generation as a function of the ratio between the cavity mode and the mirror's…

Quantum Physics · Physics 2017-09-05 R. Román-Ancheyta , I. Ramos-Prieto , A. Perez-Leija , K. Busch , R. de J. León-Montiel