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We study the electromagnetic Casimir interaction of a compact object contained inside a closed cavity of another compact object. We express the interaction energy in terms of the objects' scattering matrices and translation matrices that…

Quantum Physics · Physics 2010-11-16 Saad Zaheer , Sahand Jamal Rahi , Thorsten Emig , Robert L. Jaffe

We derive the fully retarded energy shift of a neutral atom in two different geometries useful for modelling etched microstructures. First we calculate the energy shift due to a reflecting cylindrical wire, and then we work out the energy…

Quantum Physics · Physics 2009-12-07 Claudia Eberlein , Robert Zietal

The Van Kampen method is used to calculate the Casimir force for two dielectric layers. Several terms of Lorentz oscillators are used in the permittivity model. A conductive dielectric (metal) with the Drude model is considered as a special…

Quantum Physics · Physics 2025-08-04 Michael Davidovich

The standard expression of the high-temperature Casimir force between perfect conductors is obtained by imposing macroscopic boundary conditions on the electromagnetic field at metallic interfaces. This force is twice larger than that…

Statistical Mechanics · Physics 2009-11-11 P. R. Buenzli , Ph. A. Martin

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

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…

Statistical Mechanics · Physics 2010-12-17 Thorsten Emig

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 report an improved precision measurement of the Casimir force using metallic gold surfaces. The force is measured between a large gold coated sphere and flat plate using an Atomic Force Microscope. The use of gold surfaces removes some…

Quantum Physics · Physics 2009-11-06 B. W. Harris , F. Chen , U. Mohideen

We present a quantum theory of Casimir forces between perfect electrical conductors, based on quantum electrodynamics and quantum statistical physics. This theory utilizes Kapusta's finite-temperature field theory, combined with the…

Statistical Mechanics · Physics 2025-11-14 P. E. Brandyshev , Yu. A. Budkov

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…

General Relativity and Quantum Cosmology · Physics 2009-09-29 G. Rajalakshmi

The Casimir-Polder force is an important long range interaction involved in adsorption and desorption of molecules in fluids. We explore Casimir-Polder interactions between methane molecules in water, and between a molecule in water near…

Mesoscale and Nanoscale Physics · Physics 2014-10-01 Priyadarshini Thiyam , Clas Persson , Bo E. Sernelius , Drew F. Parsons , Anders Malthe-Sørenssen , Mathias Boström

We have measured the short-range attractive force between crystalline Ge plates, and found contributions from both the Casimir force and an electrical force possibly generated by surface patch potentials. Using a model of surface patch…

Quantum Physics · Physics 2013-05-29 W. J. Kim , A. O. Sushkov , D. A. R. Dalvit , S. K. Lamoreaux

Electromagnetic fluctuation-induced forces between atoms and surfaces are generally known as Casimir-Polder interactions. The exact knowledge of these forces is rapidly becoming important in modern experimental set-ups and for technological…

Quantum Physics · Physics 2011-09-28 F. Intravaia , C. Henkel , M. Antezza

The Casimir forces between two plates moving parallel to each other are found by calculating the vacuum electromagnetic stress tensor. The perpendicular force between the plates is modified by the motion but there is no lateral force on the…

Quantum Physics · Physics 2009-11-13 T. G. Philbin , U. Leonhardt

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,…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A. Milton , Jef Wagner

The Casimir surface force density F on a dielectric dilute spherical ball of radius a, surrounded by a vacuum, is calculated at zero temperature. We treat (n-1) (n being the refractive index) as a small parameter. The dispersive properties…

High Energy Physics - Theory · Physics 2009-01-14 Iver Brevik , Valery Marachevsky

The Casimir force acting between two test bodies made of different metals is considered. The finiteness of the conductivity of the metals is taken into account perturbatively up to the fourth order of the relative penetration depths of…

Quantum Physics · Physics 2007-05-23 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

The Casimir force between a pair of parallell plates filled with ionic particles is considered. We use a statistical mechanical approach and consider the classical high temperature limit. In this limit the ideal metal result with no…

Statistical Mechanics · Physics 2009-03-18 J. S. Høye

The zero-temperature Casimir-Lifshitz force between two plates moving parallel to each other at arbitrary constant speed was found in [New J. Phys. 11, 033035 (2009)]. The solution is here generalized to the case where the plates are at…

Quantum Physics · Physics 2009-05-11 T. G. Philbin , U. Leonhardt

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…

Quantum Physics · Physics 2018-08-01 Yael Avni , Ulf Leonhardt
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