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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

The Casimir force between dissipative metallic mirrors at non zero temperature has recently given rise to contradictory claims which have raised doubts about the theoretical expression of the force. In order to contribute to the resolution…

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

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…

量子物理 · 物理学 2009-10-31 A. Lambrecht , M. -T. Jaekel , S. Reynaud

We study the situation where two point like mirrors are placed in the vacuum state of a scalar field in a two-dimensional spacetime. Describing the scattering upon the mirrors by transmittivity and reflectivity functions obeying unitarity,…

量子物理 · 物理学 2023-04-14 Marc-Thierry Jaekel , Serge Reynaud

Casimir forces are a manifestation of the change in the zero-point energy of the vacuum caused by the insertion of boundaries. We show how the Casimir force can be computed by consideration of the vacuum fluctuations that are suppressed by…

统计力学 · 物理学 2007-12-13 Eugene B. Kolomeisky , Joseph P. Straley

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

The Casimir effect in a dispersive and absorbing multilayered system is considered adopting the (net) vacuum-field pressure point of view to the Casimir force. Using the properties of the macroscopic field operators appropriate for…

量子物理 · 物理学 2009-11-07 M. S. Tomas

Vacuum fluctuations have observable consequences, like the Casimir force appearing between two mirrors in vacuum. This force is now measured with good accuracy and agreement with theory. We discuss the meaning and consequences of these…

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

A multiple scattering formulation is used to calculate the force, arising from fluctuating scalar fields, between distinct bodies described by $\delta$-function potentials, so-called semitransparent bodies. (In the limit of strong coupling,…

高能物理 - 理论 · 物理学 2008-11-26 Kimball A. Milton , Jef Wagner

The interaction between a polarizable particle and a reflecting wall is examined. A macroscopic approach is adopted in which the averaged force is computed from the Maxwell stress tensor. The particular case of a perfectly reflecting wall…

量子物理 · 物理学 2009-10-31 L. H. Ford

We investigate, in the context of a real massless scalar field in $1+1$ dimensions, models of partially reflecting mirrors simulated by Dirac $\delta-\delta^{\prime}$ point interactions. In the literature, these models do not exhibit full…

量子物理 · 物理学 2016-12-21 Alessandra N. Braga , Jeferson Danilo L. Silva , Danilo T. Alves

We review the theory of the Casimir effect using scattering techniques. After years of theoretical efforts, this formalism is now largely mastered so that the accuracy of theory-experiment comparisons is determined by the level of precision…

量子物理 · 物理学 2007-05-23 A. Lambrecht , P. A. Maia Neto , S. Reynaud

The Casimir effect refers to the existence of a macroscopic force between conducting plates in vacuum due to quantum fluctuations of fields. These forces play an important role, among other things, in the design of nano-scale mechanical…

高能物理 - 理论 · 物理学 2015-06-03 Dimitra Karabali

The Casimir force is a spectacular consequence of the existence of vacuum fluctuations and thus deserves a place in courses on quantum theory. We argue that the scattering approach within a one-dimensional field theory is well suited to…

量子物理 · 物理学 2015-01-28 Gert-Ludwig Ingold , Astrid Lambrecht

The dielectric sphere has been an important test case for understanding and calculating the vacuum force of a dielectric body onto itself. Here we develop a method for computing this force in homogeneous spheres of arbitrary dielectric…

量子物理 · 物理学 2018-08-01 Yael Avni , Ulf Leonhardt

We use a functional approach to the Casimir effect in order to evaluate the exact vacuum energy for a real scalar field in $d+1$ dimensions, in the presence of backgrounds that, in a particular limit, impose Dirichlet boundary conditions on…

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

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…

量子物理 · 物理学 2015-05-30 Fernando C. Lombardo , Francisco D. Mazzitelli , Adrian E. Rubio Lopez

A perfectly reflecting (Dirichlet) boundary condition at the edge of an impenetrable magnetic-flux-carrying tube of nonzero transverse size is imposed on the charged massive scalar matter field which is quantized outside the tube. We show…

高能物理 - 理论 · 物理学 2016-10-06 V. M. Gorkavenko , Yu. A. Sitenko , O. B. Stepanov

The Casimir energy is computed in the geometry of interest for the most precise experiments, a plane and a sphere in electromagnetic vacuum. The scattering formula is developed on adapted plane-waves and multipole basis, leading to an…

量子物理 · 物理学 2008-07-31 Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

We derive an expression for the Casimir force between slabs with arbitrary dielectric properties characterized by their reflection coefficients. The formalism presented here is applicable to media with a local or a non-local dielectric…

量子物理 · 物理学 2007-05-23 W. L. Mochan , C. Villarreal , R. ESquivel-Sirvent
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