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We investigate the Casimir force between two dissimilar plane mirrors the material properties of which are described by Drude or Lorentz models. We calculate analytically the short and long distance asymptote of the force and relate its…

Quantum Physics · Physics 2008-12-18 A. Lambrecht , I. G. Pirozhenko

We investigate the Casimir effect between two-dimensional electron systems driven to the quantum Hall regime by a strong perpendicular magnetic field. In the large separation (d) limit where retardation effects are essential we find i) that…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Wang-Kong Tse , A. H. MacDonald

We present both analytical and numerical results for the behaviour of the Casimir force in a Ginzburg-Landau type model of a film of a simple fluid or binary liquid mixture in which the confining surfaces are strongly adsorbing but…

Statistical Mechanics · Physics 2018-11-06 Daniel Dantchev , Vassil Vassilev , Peter Djondjorov

We discuss some implications of a very recently obtained result for the force on a slab in a planar cavity based on the calculation of the vacuum Lorentz force [C. Raabe and D.-G. Welsch, Phys. Rev. A 71, 013814 (2005)]. We demonstrate…

Quantum Physics · Physics 2007-05-23 M. S. Tomas

We study Casimir interactions between cylinders in thermal non-equilibrium, where the objects as well as the environment are held at different temperatures. We provide the general formula for the force, in a one reflection approximation,…

Quantum Physics · Physics 2013-01-17 Vladyslav A. Golyk , Matthias Krüger , M. T. Homer Reid , Mehran Kardar

We give a comprehensive presentation of methods for calculating the Casimir force to arbitrary accuracy, for any number of objects, arbitrary shapes, susceptibility functions, and separations. The technique is applicable to objects immersed…

Quantum Physics · Physics 2010-08-23 Sahand Jamal Rahi , Thorsten Emig , Noah Graham , Robert L. Jaffe , Mehran Kardar

A Hamiltonian approach is introduced in order to address some severe problems associated with the physical description of the dynamical Casimir effect at all times. For simplicity, the case of a neutral scalar field in a one-dimensional…

High Energy Physics - Theory · Physics 2009-11-11 Jaume Haro , Emilio Elizalde

When massless excitations are limited or modified by the presence of material bodies one observes a force acting between them generally called Casimir force. Such excitations are present in any fluid system close to its true bulk critical…

Statistical Mechanics · Physics 2016-10-05 Daniel M Dantchev , Vassil M Vassilev , Peter A Djondjorov

We study the Casimir friction due to the relative, uniform, lateral motion of two parallel semitransparent mirrors coupled to a vacuum real scalar field, $\phi$. We follow a functional approach, whereby nonlocal terms in the action for…

The Casimir force is calculated analytically for configurations of two parallel plates and a spherical lens (sphere) above a plate with account of nonzero temperature, finite conductivity of the boundary metal and surface roughness. The…

Quantum Physics · Physics 2009-11-07 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

When masless excitations are limited or modified by the presence of material bodies one observes a force atcing between them generally called Casimir force. Such excitations are present in any fluid system close to its true bulk critical…

Statistical Mechanics · Physics 2016-04-27 Daniel M. Dantchev , Vassil M. Vassilev , Peter A. Djondjorov

We provide a Quantum Field Theory derivation of Lifshitz formula for the Casimir force due to a fluctuating real scalar field in $d+1$ dimensions. The field is coupled to two imperfect, thick, plane mirrors, which are modeled by background…

High Energy Physics - Theory · Physics 2015-05-28 C. Ccapa Ttira , C. D. Fosco , F. D. Mazzitelli

We consider the Casimir effect in a (1+1)-dimensional model with a critical mode. Such a mode gives rise to a condensate described by the nonlinear Gross-Pitaevskii equation. In the condensate, there are two sources of the Casimir force;…

Quantum Physics · Physics 2025-02-14 M. Bordag , I. G. Pirozhenko

The Casimir force has been computed exactly for only a few simple geometries, such as infinite plates, cylinders, and spheres. We show that a parabolic cylinder, for which analytic solutions to the Helmholtz equation are available, is…

We compute the Casimir energy of a real scalar field in the presence of a pair of partially transparent plane mirrors, modeled by Dirac delta potentials.

High Energy Physics - Theory · Physics 2007-05-23 R. M. Cavalcanti

Based on a unified approach to macroscopic QED that allows for the inclusion of amplification in a limited space and frequency range, we study the Casimir force as a Lorentz force on an arbitrary partially amplifying system of linearly…

Quantum Physics · Physics 2015-05-13 Agnes Sambale , Dirk-Gunnar Welsch , Stefan Yoshi Buhmann , Ho Trung Dung

We use a functional approach to evaluate the Casimir free energy for a self-interacting scalar field in $d+1$ dimensions, satisfying Dirichlet boundary conditions on two parallel planes. When the interaction is turned off, exact results for…

High Energy Physics - Theory · Physics 2008-09-16 Claudio Ccapa Ttira , Cesar D. Fosco

We present an approach to studying the Casimir effects by means of the effective theory. An essential point of our approach is replacing the mirror separation into the size of space S^1 in the adiabatic approximation. It is natural to…

High Energy Physics - Theory · Physics 2009-10-31 Yukinori Nagatani , Kei Shigetomi

We extend our previous work on the functional approach to the dynamical Casimir effect, to compute dissipative effects due to the relative motion of two flat, parallel, imperfect mirrors in vacuum. The interaction between the internal…

High Energy Physics - Theory · Physics 2011-08-08 Cesar D. Fosco , Fernando C. Lombardo , Francisco D. Mazzitelli

We derive a general expression for the Casimir energy corresponding to two flat parallel mirrors in d+1 dimensions, described by nonlocal interaction potentials. For a real scalar field, the interaction with the mirrors is implemented by a…

High Energy Physics - Theory · Physics 2014-11-18 C. D. Fosco , E. Losada