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Given a functional for a one-dimensional physical system, a classical problem is to minimize it by finding stationary solutions and then checking the positive definiteness of the second variation. Establishing the positive definiteness is,…

Classical Analysis and ODEs · Mathematics 2017-04-26 Thomas Lessinnes , Alain Goriely

Radiation pressure measurements on mirrors submerged in dielectric liquids have consistently shown an effective Minkowski momentum for the photons within the liquid. Using an exact theoretical calculation based on Maxwell's equations and…

Optics · Physics 2014-01-30 Masud Mansuripur

We show that if the visible universe is a membrane embedded in a higher-dimensional space, particles in uniform motion radiate gravitational waves because of spacetime lumpiness. This phenomenon is analogous to the electromagnetic…

High Energy Physics - Theory · Physics 2008-11-26 Vitor Cardoso , Marco Cavaglia , Mario Pimenta

Investigations show that a time-varying $\delta-\delta'$ mirror gives rise to asymmetrical vacuum radiation on its two sides, enabling one to extract propelling forces from the vacuum fluctuation. In this work, we propose a design of…

Quantum Physics · Physics 2025-10-20 Yu-Song Cao , YanXia Liu , Ding-Fang Zeng

The energy density in Fulling-Rindler vacuum, which is known to be negative "everywhere" is shown to be positive and singular on the horizons in such a fashion as to guarantee the positivity of the total energy. The mechanism of…

High Energy Physics - Theory · Physics 2010-04-06 Parentani Renaud

We study the accelerated motion of mirrors and the photonic Unruh effect. The solutions of Maxwell's equations with appropriate boundary conditions in Rindler coordinates are found. The canonical quantization of the field is carried out…

General Relativity and Quantum Cosmology · Physics 2021-09-21 E. Sadurní , M. A. Estévez , J. L. Díaz-Cruz

The focusing of the vacuum modes of a quantized field by a parabolic mirror is investigated. We use a geometric optics approximation to calculate the energy density and mean squared field averages for scalar and electromagnetic fields near…

Quantum Physics · Physics 2016-09-08 L. H. Ford , N. F. Svaiter

We analyze the flow of energy and entropy emitted by a class of moving mirror trajectories which provide models for the radiation fields produced by black hole evaporation. The mirror radiation fields provide natural, concrete examples of…

General Relativity and Quantum Cosmology · Physics 2020-02-04 Michael R. R. Good , Eric V. Linder , Frank Wilczek

We show that the dynamical Casimir effect in an optomechanical system can be achieved under incoherent mechanical pumping. We adopt a fully quantum-mechanical approach for both the cavity field and the oscillating mirror. The dynamics is…

Following fresh attempts to resolve the problem of the energy density of the vacuum, we reconsider the case where the cosmological constant is derived from a higher-dimensional version of general relativity, and interpret the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Paul S. Wesson

A random-matrix theory is presented for the reflection of light by a disordered medium backed by a phase-conjugating mirror. Two regimes are distinguished, depending on the relative magnitude of the inverse dwell time of a photon in the…

Condensed Matter · Physics 2007-05-23 J. C. J. Paasschens , P. W. Brouwer , C. W. J. Beenakker

Quantum fluctuations of the vacuum are both a surprising and fundamental phenomenon of nature. Understood as virtual photons flitting in and out of existence, they still have a very real impact, \emph{e.g.}, in the Casimir effects and the…

Quantum Physics · Physics 2017-08-31 I. -C. Hoi , A. F. Kockum , L. Tornberg , A. Pourkabirian , G. Johansson , P. Delsing , C. M. Wilson

Radiation from an accelerating charge is a basic process that can serve as an intersection between classical and quantum physics. We present two exactly soluble electron trajectories that permit analysis of the radiation emitted, exploring…

Quantum Physics · Physics 2023-08-22 Michael R. R. Good , Eric V. Linder

The linear threshold condition of the mirror mode including weak drift and finite Larmor radius effects is analysed and shown that it can be given to arbitrary precision in closed analytical form. Combined with observations of mirror modes…

Space Physics · Physics 2009-03-14 R. A. Treumann , O. D. Constantinescu

In 1+3 (threading) formulation of general relativity spacetime behaves analogous to a medium with a specific index of refraction with respect to the light propagation. Accepting the reality of zero point energy, through the equivalence…

General Relativity and Quantum Cosmology · Physics 2010-10-07 M. Nouri-Zonoz

The Davies-Fulling (DF) model describes the scattering of a massless field by a non-inertial mirror in two dimensions. In this paper, we generalize this model in two different ways. First, we consider partially reflecting mirrors. We show…

General Relativity and Quantum Cosmology · Physics 2009-11-07 N. Obadia , R. Parentani

We consider a slow particle with wave function $\psi_t(\vec{x})$, moving freely in some direction. A mirror is briefly switched on around a time $T$ and its position is scanned. It is shown that the measured reflection probability then…

Quantum Physics · Physics 2007-06-19 Volker Hannstein , Gerhard C. Hegerfeldt

We investigate the spontaneous emission of one atom placed near an oscillating reflecting plate. We consider the atom modeled as a two-level system, interacting with the quantum electromagnetic field in the vacuum state, in the presence of…

Quantum Physics · Physics 2019-11-12 Alessandro Ferreri , Michelangelo Domina , Lucia Rizzuto , Roberto Passante

Quantum fields responding to "moving mirrors" have been predicted to give rise to thermodynamic paradoxes. I show that the assumption in such work that the mirror can be treated as an external field is invalid: the exotic energy-transfer…

High Energy Physics - Theory · Physics 2009-10-31 Adam D. Helfer

We argue that the results for the vacuum forces on a slab and on an atom embedded in a magnetodielectric medium near a mirror, obtained using a recently suggested Lorentz-force approach to the Casimir effect, are equivalent to the…

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