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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,…

经典分析与常微分方程 · 数学 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…

光学 · 物理学 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…

高能物理 - 理论 · 物理学 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…

量子物理 · 物理学 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…

高能物理 - 理论 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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…

量子物理 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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…

凝聚态物理 · 物理学 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…

量子物理 · 物理学 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…

量子物理 · 物理学 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…

空间物理 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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…

量子物理 · 物理学 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…

量子物理 · 物理学 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…

高能物理 - 理论 · 物理学 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…

量子物理 · 物理学 2009-11-11 M. S. Tomas