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Quantum vacuum energy (Casimir energy) is reviewed for a mathematical audience as a topic in spectral theory. Then some one-dimensional systems are solved exactly, in terms of closed classical paths and periodic orbits. The relations among…

数学物理 · 物理学 2008-04-25 Stephen A. Fulling

Quantum fluctuations of massless scalar fields represented by quantum fluctuations of the quasiparticle vacuum in a zero-temperature dilute Bose-Einstein condensate may well provide the first experimental arena for measuring the Casimir…

数学物理 · 物理学 2009-11-11 Ariel Edery

The electromagnetic vacuum is known to have energy. It has been recently argued that the quantum vacuum can possess momentum, that adds up to the momentum of matter. This ``Casimir momentum'' is closely related to the Casimir effect, in…

量子物理 · 物理学 2015-05-14 Sebastien Kawka , Bart Van Tiggelen

This paper addresses the excitation of vacuum fluctuations of the electromagnetic field through periodic modulations of a refractive index and the possibility of using entanglement as a distinctive marker of the quantum nature of the…

量子物理 · 物理学 2012-03-28 Ariel Guerreiro , Paulo Alcino

In this letter, we investigate the changes in the quantum vacuum energy density of a massless scalar field inside a Casimir cavity that orbits a wormhole, by considering the cosmological model with an isotropic form of the Morris-Thorne…

广义相对论与量子宇宙学 · 物理学 2024-09-05 A. C. L. Santos , C. R. Muniz , L. T. Oliveira

We study the Dirichlet Casimir effect for a complex scalar field on two noncommutative spatial coordinates plus a commutative time. To that end, we introduce Dirichlet-like boundary conditions on a curve contained in the spatial plane, in…

高能物理 - 理论 · 物理学 2008-11-26 C. D. Fosco , G. A. Moreno

Casimir forces are conventionally computed by analyzing the effects of boundary conditions on a fluctuating quantum field. Although this analysis provides a clean and calculationally tractable idealization, it does not always accurately…

高能物理 - 理论 · 物理学 2008-11-26 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , O. Schroeder , H. Weigel

It has been widely believed that, except in very extreme situations, the influence of gravity on quantum fields should amount to just small, sub-dominant contributions. This view seemed to be endorsed by the seminal results obtained over…

广义相对论与量子宇宙学 · 物理学 2010-05-12 William C. C. Lima , Daniel A. T. Vanzella

The Casimir force can be understood as resulting from the radiation pressure exerted by the vacuum fluctuations reflected by boundaries. We extend this local formulation to the case of partially transmitting boundaries by introducing…

量子物理 · 物理学 2009-11-07 Marc-Thierry Jaekel , Serge Reynaud

The combined effect of the magnetic field background in the form of a singular vortex and the Dirichlet boundary condition at the location of the vortex on the vacuum of quantized scalar field is studied. We find the induced vacuum energy…

高能物理 - 理论 · 物理学 2009-10-30 Yu. A. Sitenko , A. Yu. Babansky

We analyze the gravity-induced effects associated with a massless scalar field in a higher-dimensional spacetime being the tensor product of $(d-n)$-dimensional Minkowski space and $n$-dimensional spherically/cylindrically-symmetric space…

高能物理 - 理论 · 物理学 2017-03-08 Yuri V. Grats , Pavel Spirin

We study a quantum model of dynamical Casimir effect in an optical cavity enclosed by a freely moving mirror attached to a harmonic spring. The quantum fluctuations of the friction force exerted by the dynamical Casimir emission onto the…

量子物理 · 物理学 2020-01-29 Salvatore Butera , Iacopo Carusotto

This survey summarizes briefly results obtained recently in the Casimir energy studies devoted to the following subjects: i) account of the material characteristics of the media in calculations of the vacuum energy (for example, Casimir…

高能物理 - 理论 · 物理学 2016-10-05 V. V. Nesterenko , G. Lambiase , G. Scarpetta

It has been argued since 1948, when it was experimentally demonstrated, that the Casimir effect-where two non-charged conducting plates have a weak but measurable force on each other dependent on the inverse fourth power of the distance…

综合物理 · 物理学 2022-06-13 Gerald E. Marsh

The Casimir effect is a fundamental quantum phenomenon induced by the zero-point energy for a quantum field. It is well-known for relativistic fields with a linear dispersion relation, while its existence or absence for nonrelativistic…

量子物理 · 物理学 2023-06-22 Katsumasa Nakayama , Kei Suzuki

We present a new derivation of the Casimir force between two parallel plane mirrors at zero temperature. The two mirrors and the cavity they enclose are treated as quantum optical networks. They are in general lossy and characterized by…

量子物理 · 物理学 2007-05-23 Cyriaque Genet , Astrid Lambrecht , Serge Reynaud

We have recently demonstrated that Casimir energy due to parallel plates, including its divergent parts, falls like conventional mass in a weak gravitational field. The divergent parts were suitably interpreted as renormalizing the bare…

高能物理 - 理论 · 物理学 2008-11-26 K. V. Shajesh , Kimball A. Milton , Prachi Parashar , Jeffrey A. Wagner

We consider a system consisting of a quantum, massless, real scalar field, in the presence of nonlinear mirrors: infinite parallel planes, upon which the field satisfies nonlinear boundary conditions. The latter are implemented by…

高能物理 - 理论 · 物理学 2015-12-30 C. D. Fosco , L. E. Oxman

The Casimir effect is a well-known macroscopic consequence of quantum vacuum fluctuations, but whereas the static effect (Casimir force) has long been observed experimentally, the dynamic Casimir effect is up to now undetected. From an…

量子物理 · 物理学 2007-05-23 C. Braggio , G. Bressi , G. Carugno , C. Del Noce , G. Galeazzi , A. Lombardi , A. Palmieri , G. Ruoso , D. Zanello

We obtain the Casimir effect for the massless scalar field in one dimension based on the analogy between the quantum field and the continuum limit of an infinite set of coupled harmonical oscillators.

物理教育 · 物理学 2007-05-23 A. Farkas , N. Nicolaevici