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We calculated the force of the quantum vacuum, the Casimir force, in a spherically symmetric medium, Maxwell's fish eye, surrounded by a perfect mirror and derived an exact analytic solution. Our solution questions the idea that the Casimir…

Quantum Physics · Physics 2015-05-28 Ulf Leonhardt , William M. R. Simpson

We show that the Casimir force between mirrors with arbitrary frequency dependent reflectivities obeys bounds due to causality and passivity properties. The force is always smaller than the Casimir force between two perfectly reflecting…

Quantum Physics · Physics 2009-10-31 A. Lambrecht , M. -T. Jaekel , S. Reynaud

We consider a system composed of a mobile slab and the electromagnetic field. We assume that the slab is made of a material that has the following properties when it is at rest: it is linear, isotropic, non-magnetizable, and ohmic with zero…

Optics · Physics 2015-06-12 Luis Octavio Castaños , Ricardo Weder

A Hamiltonian approach is introduced in order to address some severe problems associated with the physical description of the dynamical Casimir effect at all times. For simplicity, the case of a neutral scalar field in a one-dimensional…

High Energy Physics - Theory · Physics 2009-11-11 Jaume Haro , Emilio Elizalde

In this article we compute the Casimir force between two finite-width mirrors at finite temperature, working in a simplified model in 1+1 dimensions. The mirrors, considered as dissipative media, are modeled by a continuous set of harmonic…

Quantum Physics · Physics 2015-05-30 Fernando C. Lombardo , Francisco D. Mazzitelli , Adrian E. Rubio Lopez

We consider a movable mirror coupled to a one-dimensional massless scalar field in a cavity. Both the field and the mirror's mechanical degrees of freedom are described quantum-mechanically, and they can interact each other via the…

Quantum Physics · Physics 2017-08-10 Federico Armata , M. S. Kim , Salvatore Butera , Lucia Rizzuto , Roberto Passante

We consider the question raised by Unruh and Wald of whether mirrored boxes can self-accelerate in flat spacetime (the ``self-accelerating box paradox''). From the point of view of the box, which perceives the acceleration as an impressed…

High Energy Physics - Theory · Physics 2009-11-07 Donald Marolf , Rafael Sorkin

We study the 2D massive fields in the presence of moving mirrors. We do that for standing mirror and mirror moving with constant velocity. We calculate the modes and commutation relations of the field operator with the corresponding…

High Energy Physics - Theory · Physics 2018-11-08 Lev Astrakhantsev , Oleksandr Diatlyk

We study quantum dissipative effects that result from the non-relativistic motion of an atom, coupled to a quantum real scalar field, in the presence of a static imperfect mirror. Our study consists of two parts: in the first, we consider…

Quantum Physics · Physics 2019-09-04 M. Belen Farias , C. D. Fosco , Fernando C. Lombardo , Francisco D. Mazzitelli

We consider the quantum radiation from a partially reflecting moving mirror for the massless scalar field in 1+1 Minkowski space. Partial reflectivity is achieved by localizing a delta-type potential at the mirror's position. The radiated…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Nistor Nicolaevici

We study quantum effects in the presence of a spherical semi-transparent mirror or a system of two concentric mirrors which expand with a constant acceleration in a flat D-dimensional spacetime. Using the Euclidean approach, we obtain…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Frolov , D. Singh

We investigate the vacuum and thermal fluctuations of a neutral massless scalar field living in Minkowski spacetime and interacting with a finite number of point-like obstacles, modelled by zero-range potentials. The system is described…

Mathematical Physics · Physics 2026-05-12 Davide Fermi , Marco Gurgoglione

We study theoretically the internal thermal noise of a mirror coated on a plano-convex substrate. The comparison with a cylindrical mirror of the same mass shows that the effect on a light beam can be reduced by a factor 10, improving the…

Quantum Physics · Physics 2009-10-31 A. Heidmann , P. F. Cohadon , M. Pinard

In this paper we consider the rotating frame of the Minkowski spacetime in order to describe the inertial forces outside the static limit. We consider the inertial forces inside the static limit to find the classical analogue afterwards we…

General Relativity and Quantum Cosmology · Physics 2022-12-08 Andrei Grib , Vitalii Vertogradov , Ivan Fedorov

The form of the vacuum stress-tensor for the quantized scalar field at a dielectric to vacuum interface is studied. The dielectric is modeled to have an index of refraction that varies with frequency. We find that the stress-tensor…

High Energy Physics - Theory · Physics 2009-10-31 Michael John Pfenning

We consider a real massless scalar field inside a cavity with two moving mirrors in a two-dimensional spacetime, satisfying Dirichlet boundary condition at the instantaneous position of the boundaries, for arbitrary and relativistic laws of…

High Energy Physics - Theory · Physics 2014-11-20 Danilo T. Alves , Edney R. Granhen , Wagner P. Pires

The applicability of the Lifshitz formula is discussed to the case of two thick parallel plates made of real metal. The usual description of the zero-point vacuum oscillations on the background of the frequency-dependent dielectric…

Quantum Physics · Physics 2007-05-23 V. M. Mostepanenko , A. O. Caride , G. L. Klimchitskaya , S. I. Zanette

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 point out the presence of a $T \to -T$ temperature-reflection ($T$-reflection) symmetry for the partition functions of many physical systems. Without knowledge of the origin of the symmetry, we have only been able to test the existence…

High Energy Physics - Theory · Physics 2015-05-20 Gokce Basar , Aleksey Cherman , David A. McGady , Masahito Yamazaki

From the generalized fluctuation-dissipation theorem, it is known that a body at rest made of nonreciprocal material may experience a torque, even in vacuum, if it is not in thermal equilibrium with its environment. However, it does not…

Quantum Physics · Physics 2024-05-28 Kimball A. Milton , Xin Guo , Gerard Kennedy , Nima Pourtolami , Dylan M. DelCol