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The presence of finite energy in quantum vacuum has profound implications to physics at the microscopic and macroscopic levels. One of the direct consequences of vacuum energy is the Casimir Force, which is a force of attraction experienced…

广义相对论与量子宇宙学 · 物理学 2009-09-29 G. Rajalakshmi

We consider the interaction between a spherical plasma sheet and a planar plasma sheet due to the vacuum fluctuations of electromagnetic fields. We use the mode summation approach to derive the Casimir interaction energy and study its…

量子物理 · 物理学 2015-06-18 L. P. Teo

We numerically evaluate the Casimir interaction energy for configurations involving two perfectly conducting eccentric cylinders and a cylinder in front of a plane. We consider in detail several special cases. For quasi-concentric…

高能物理 - 理论 · 物理学 2008-11-26 F. C. Lombardo , F. D. Mazzitelli , P. I. Villar

We generalize the derivative expansion (DE) approach to the interaction between almost-flat smooth surfaces, to the case of surfaces which are optimally described in cylindrical coordinates. As in the original form of the DE, the obtained…

高能物理 - 理论 · 物理学 2017-12-01 Julio David Melon Fuksman , César Daniel Fosco

Analytic expressions that describe Casimir interactions over the entire range of separations have been limited to planar surfaces. Here we derive analytic expressions for the classical or high-temperature limit of Casimir interactions…

量子物理 · 物理学 2014-10-30 G. Bimonte , T. Emig

We analyze the high temperature (or classical) limit of the Casimir effect. A useful quantity which arises naturally in our discussion is the ``relative Casimir energy", which we define for a configuration of disjoint conducting boundaries…

高能物理 - 理论 · 物理学 2014-11-18 J. Feinberg , A. Mann , M. Revzen

We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its…

量子物理 · 物理学 2008-11-26 M. Bordag , U. Mohideen , V. M. Mostepanenko

We study the Casimir vacuum energy density and the Casimir pressure for a massless scalar field confined between two nearby parallel plates in a slightly curved, static spacetime background, employing the weak field approximation in the…

广义相对论与量子宇宙学 · 物理学 2017-04-19 G. Lambiase , A. Stabile , An. Stabile

We study Casimir forces on the partition in a closed box (piston) with perfect metallic boundary conditions. Related closed geometries have generated interest as candidates for a repulsive force. By using an optical path expansion we solve…

量子物理 · 物理学 2008-11-26 M. P. Hertzberg , R. L. Jaffe , M. Kardar , A. Scardicchio

We consider the two planes at zero temperature with isotropic conductivity that are in relative lateral motion with velocity $v$ and inter-plane distance $a$. Two models of conductivity are taken into account -- the constant and…

介观与纳米尺度物理 · 物理学 2024-03-21 N. Emelianova , N. Khusnutdinov

This contribution, built on the companion paper [1], is focused on the different mathematical approaches available for the analysis of the quasilinear approximation in plasma physics.

偏微分方程分析 · 数学 2020-11-17 Claude Bardos , Nicolas Besse

We study the Casimir effect for scalar fields with general curvature coupling subject to mixed boundary conditions $(1+\beta_{m}n^{\mu}\partial_{\mu})\phi =0$ at $x=a_{m}$ on one ($m=1$) and two ($m=1,2$) parallel plates at a distance…

高能物理 - 理论 · 物理学 2008-11-26 A. Romeo , A. A. Saharian

The widely-used locally constant field approximation (LCFA) can be utilized in order to derive a simple closed-form expression for the total number of particles produced in the presence of a strong electromagnetic field of a general…

高能物理 - 唯象学 · 物理学 2021-10-27 D. G. Sevostyanov , I. A. Aleksandrov , G. Plunien , V. M. Shabaev

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

The zeta function regularization technique is used to study the Casimir effect for a scalar field of mass $m$ satisfying Dirichlet boundary conditions on a spherical surface of radius $a$. In the case of large scalar mass, $ma\gg1$, simple…

高能物理 - 理论 · 物理学 2015-09-29 Andrea Erdas

The Casimir effect in graphene systems is reviewed with emphasis made on the large thermal correction to the Casimir force predicted at short separations between the test bodies. The computational results for the Casimir pressure and for…

量子物理 · 物理学 2022-11-15 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

In order to compare recent experimental results with theoretical predictions we study the influence of finite conductivity of metals on the Casimir effect. The correction to the Casimir force and energy due to imperfect reflection and…

量子物理 · 物理学 2023-04-14 Astrid Lambrecht , Cyriaque Genet , Serge Reynaud

The Casimir energy is the first-order-in-\hbar correction to the energy of a time-independent field configuration in a quantum field theory. We study the Casimir energy in a toy model, where the classical field is replaced by a separable…

高能物理 - 理论 · 物理学 2009-10-31 R. L. Jaffe , L. R. Williamson

We have extended the mean field calculation of Zandi et al [1] and have obtained an approximate mathematical expression for the Casimir scaling function, which if extrapolated to the domain $\pi^2\ge-y\ge 0$, becomes surprisingly similar to…

统计力学 · 物理学 2010-07-13 Shyamal Biswas

A novel approach for calculating Casimir forces between periodically deformed objects is developed. This approach allows, for the first time, a rigorous non-perturbative treatment of the Casimir effect for disconnected objects beyond…

统计力学 · 物理学 2010-12-17 Thorsten Emig