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The Casimir effect in an inhomogeneous dielectric is investigated using Lifshitz's theory of electromagnetic vacuum energy. A permittivity function that depends continuously on one Cartesian coordinate is chosen, bounded on each side by…

量子物理 · 物理学 2015-05-14 T. G. Philbin , C. Xiong , U. Leonhardt

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 study the interplay of thermal and diffractive effects in Casimir energies. We consider plates with edges, oriented either parallel or perpendicular to each other, as well as a single plate with a slit. We compute the Casimir energy at…

高能物理 - 理论 · 物理学 2013-05-29 Daniel Kabat , Dimitra Karabali

We study the Casimir effect of a membrane embedded in 2+1 dimensions flat cone generated by a massive particle located at the origin of the coordinate system. The flat cone is an exact solution of the nonprojectable Horava theory, similar…

高能物理 - 理论 · 物理学 2023-09-20 Claudio Bórquez , Byron Droguett

We describe a Casimir apparatus based on a differential force measurement between a Au-coated sphere and a planar slab divided in two regions, one of which is made of high-resistivity (dielectric) Si, and the other of Au. The crucial…

量子物理 · 物理学 2015-02-17 Giuseppe Bimonte

The Casimir friction problem for a pair of dielectric particles in relative motion is analyzed, utilizing a microscopic model in which we start from statistical mechanics for harmonically oscillating particles at finite temperature moving…

量子物理 · 物理学 2015-05-18 Johan S. Høye , Iver Brevik

In this paper, we derive the formula for the Casimir interaction energy between a sphere and a plate in $(D+1)$-dimensional Minkowski spacetime. It is assumed that the scalar field satisfies the Dirichlet or Neumann boundary conditions on…

高能物理 - 理论 · 物理学 2015-06-18 L. P. Teo

The Casimir force between two short-range charge sources, embedded in a background of one dimensional massive Dirac fermions, is explored by means of the original $\ln\text{[Wronskian]}$ contour integration techniques. For identical sources…

高能物理 - 理论 · 物理学 2019-06-19 Yu. Voronina , I. Komissarov , K. Sveshnikov

Quantities associated with Casimir forces are calculated in a model wave system of one spatial dimension with Dirichlet or Neumann boundary conditions. 1)Due to zero-point fluctuations, a partition is attracted to the walls of a box if the…

量子物理 · 物理学 2009-11-07 Timothy H. Boyer

A one-dimensional Casimir piston for massless scalar fields obeying Dirichlet boundary conditions in high-dimensional spacetimes within the frame of Kaluza-Klein theory is analyzed. We derive and calculate the exact expression for the…

高能物理 - 理论 · 物理学 2008-11-26 Hongbo Cheng

We consider the Casimir force acting on a $d$-dimensional rectangular piston due to massless scalar field with periodic, Dirichlet and Neumann boundary conditions and electromagnetic field with perfect electric conductor and perfect…

高能物理 - 理论 · 物理学 2009-11-13 S. C. Lim , L. P. Teo

The Casimir effect between metal surfaces has now been well-verified at the few-percent level experimentally. However, the temperature dependence has never been observed in the laboratory, since all experiments are conducted at room…

高能物理 - 理论 · 物理学 2014-01-28 K. A. Milton , Iver Brevik , Simen A. Ellingsen

The nonequilibrium Casimir-Polder force between a nanoparticle and a graphene sheet kept at different temperatures is investigated in the framework of Dirac model using the formalism of the polarization tensor. It is shown that the force…

量子物理 · 物理学 2024-02-27 G. L. Klimchitskaya , V. M. Mostepanenko , O. Yu. Tsybin

We calculate exactly the Casimir force between a spherical particle and a plane, both with arbitrary dielectric properties, in the non-retarded limit. Using a Spectral Representation formalism, we show that the Casimir force of a sphere…

量子物理 · 物理学 2007-05-23 Cecilia Noguea , Carlos E. Roman-Velazquez

The vacuum expectation value of the electromagnetic energy-momentum tensor between two parallel plates in spacetime dimensions D > 4 is calculated in the axial gauge. While the pressure between the plates agrees with the global Casimir…

高能物理 - 唯象学 · 物理学 2008-11-26 H. Alnes , K. Olaussen , F. Ravndal , I. K. Wehus

We measure the Casimir force between a gold sphere and a silicon plate with nanoscale, rectangular corrugations with depth comparable to the separation between the surfaces. In the proximity force approximation (PFA), both the top and…

In this talk I review various developments in the past year concerning quantum vacuum energy, the Casimir effect. In particular, there has been continuing controversy surrounding the temperature correction to the Lifshitz formula for the…

高能物理 - 理论 · 物理学 2009-05-12 K. A. Milton

We analyze the thermodynamic Casimir effect occurring in a gas of non-interacting bosons confined by two parallel walls with a strongly anisotropic dispersion inherited from an underlying lattice. In the direction perpendicular to the…

量子气体 · 物理学 2021-09-01 Marek Napiórkowski , Pawel Jakubczyk

Casimir forces can appear between intrusions placed in different media driven by several fluctuation mechanisms, either in equilibrium or out of it. Herein, we develop a general formalism to obtain such forces from the dynamical equations…

统计力学 · 物理学 2015-05-20 Pablo Rodriguez-Lopez , Ricardo Brito , Rodrigo Soto

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…

高能物理 - 理论 · 物理学 2008-09-16 Claudio Ccapa Ttira , Cesar D. Fosco
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