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Casimir forces between conductors at the sub-micron scale cannot be ignored in the design and operation of micro-electromechanical (MEM) devices. However, these forces depend non-trivially on geometry, and existing formulae and…

In a recent paper we have formulated a theory of non-relativistic quantum electrodynamics in the presence of an inhomogeneous Huttner-Barnett dielectric. Here we generalize the formalism to anisotropic materials and show how it may be…

Quantum Physics · Physics 2015-06-11 Claudia Eberlein , Robert Zietal

The Casimir friction problem for dielectric plates that move parallel to each other is treated by assuming one of the plates to be at rest. The other performs a closed loop motion in the longitudinal direction. Therewith by use of energy…

Quantum Physics · Physics 2014-03-27 Johan S. Høye , Iver Brevik

We derive analytic expressions for the classical Casimir-Polder free energy and force for a polarizable (magnetizable) atom (microparticle) interacting with thin films, made of different materials, or graphene. It is shown that for an…

Other Condensed Matter · Physics 2014-02-03 G. L. Klimchitskaya , V. M. Mostepanenko

We revisit the path integral computation of the Casimir energy between two infinite parallel plates placed in a QED vacuum. We implement perfectly magnetic conductor boundary conditions (as a prelude to the dual superconductor picture of…

High Energy Physics - Theory · Physics 2020-08-05 David Dudal , Pablo Pais , Luigi Rosa

We study the geometry dependence of the Casimir energy for deformed metal plates by a path integral quantization of the electromagnetic field. For the first time, we give a complete analytical result for the deformation induced change in…

Statistical Mechanics · Physics 2009-11-07 Thorsten Emig , Andreas Hanke , Ramin Golestanian , Mehran Kardar

We evaluate the correlators for the vector potential and for the field strength tensor of the electromagnetic field in the geometry of two parallel planar plates in AdS spacetime. Two types of boundary conditions are considered on the…

High Energy Physics - Theory · Physics 2020-11-18 A. A. Saharian , A. S. Kotanjyan , H. G. Sargsyan

After a review of the standard calculation of the Casimir force between two metallic plates at zero and non-zero temperatures, we present the study of microscopic models to determine the large-distance asymptotic force in the…

Statistical Mechanics · Physics 2011-11-09 Ph. A. Martin , P. R. Buenzli

We investigate the thermodynamical aspects of the Casimir effect in the case of plane parallel plates made of real metals. The thermal corrections to the Casimir force between real metals were recently computed by several authors using…

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

The Casimir energy is constructed for a system consisting of two semi-infinite slabs of anisotropic material. Each of them is characterized by bulk complex dielectric permittivity tensor and surface conductivity on the free boundary. We…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 N. Emelianova , I. V. Fialkovsky , N. Khusnutdinov

The new approach to the theoretical description of the thermal Casimir force between real metals is presented. It uses the plasma-like dielectric permittivity that takes into account the interband transitions of core electrons. This…

Quantum Physics · Physics 2008-11-26 V. M. Mostepanenko , B. Geyer

The effects induced by the quantum vacuum fluctuations of one massless real scalar field on a configuration of two partially transparent plates are investigated. The physical properties of the infinitely thin plates are simulated by means…

High Energy Physics - Theory · Physics 2015-06-22 J. M. Munoz-Castaneda , J. Mateos Guilarte

We investigate the Casimir effect in the systems that consist of parallel but misaligned finite-size plates from the point of view of zero-point energy. We elaborate the zero-point energies of the radiation field in the perfect conductor…

High Energy Physics - Theory · Physics 2022-12-07 Zhentao Zhang

We address the spatially nonlocal dielectric functions of graphene at any frequency derived starting fromthe first principles of thermal quantum field theory using the formalism of the polarization tensor. After a brief review of this…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 V. M. Mostepanenko , G. L. Klimchitskaya

We compute the Casimir energy between an unusual pair of parallel plates at finite temperature, namely, a perfectely conducting plate ($\epsilon\to\infty$) and an infinitely permeable one ($\mu\to\infty$) by applying the generalized zeta…

High Energy Physics - Theory · Physics 2007-05-23 F. C. Santos , A. Tenório , A. C. Tort

We find the exact Casimir force between a plate and a cylinder, a geometry intermediate between parallel plates, where the force is known exactly, and the plate--sphere, where it is known at large separations. The force has an unexpectedly…

Statistical Mechanics · Physics 2009-11-11 T. Emig , R. L. Jaffe , M. Kardar , A. Scardicchio

We study the anomalous electromagnetic scattering in the homogenization regime, by a subwavelength thin layer of periodically distributed plasmonic nanoparticles on a perfect conducting plane. By using layer potential techniques, we derive…

Analysis of PDEs · Mathematics 2019-07-17 Habib Ammari , Bowen Li , Jun Zou

The Casimir interaction between two thick parallel plates, one made of metal and the other of dielectric, is investigated at nonzero temperature. It is shown that in some temperature intervals the Casimir pressure and the free energy of a…

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

We provide further evidence for the nontrivial interplay between geometry and temperature in the Casimir effect. We investigate the temperature dependence of the Casimir force between an inclined semi-infinite plate above an infinite plate…

High Energy Physics - Theory · Physics 2009-11-06 Alexej Weber , Holger Gies

When the vacuum is partitioned by material boundaries with arbitrary shape, one can define the zero-point energy and the free energy of the electromagnetic waves in it: this can be done, independently of the nature of the boundaries, in the…

Quantum Physics · Physics 2007-05-23 Roger Balian , Bertrand Duplantier
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