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Two thin conducting, electrically neutral, parallel plates forming an isolated system in vacuum exert attracting force on each other, whose origin is the quantum electrodynamical interaction. This theoretical hypothesis, known as Casimir…

High Energy Physics - Theory · Physics 2007-05-23 Andrzej Herdegen

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

The local Casimir energy density for a massless scalar field associated with step-function potentials in a 3+1 dimensional spherical geometry is considered. The potential is chosen to be zero except in a shell of thickness $\delta$, where…

High Energy Physics - Theory · Physics 2009-11-11 Ines Cavero-Pelaez , Kimball A. Milton , Jeffrey Wagner

Quantum and thermal fluctuations are fundamental to a plethora of phenomena within quantum optics, including the Casimir effect that acts between closely separated surfaces typically found in MEMS and NEMS devices. Particularly promising…

Quantum Physics · Physics 2024-08-28 Benjamin Spreng , Calum Shelden , Tao Gong , Jeremy N. Munday

In this paper we calculate the Casimir energy for spherical shell with massless self-interacting scalar filed which satisfying Dirichlet boundary conditions on the shell. Using zeta function regularization and heat kernel coefficients we…

High Energy Physics - Theory · Physics 2007-05-23 M. R. Setare , R. Mansouri

We comment on progress in measurements of the Casimir force and discuss what is the actual reliability of different experiments. In this connection a more rigorous approach to the usage of such concepts as accuracy, precision, and measure…

Quantum Physics · Physics 2015-05-20 G. L. Klimchitskaya , V. M. Mostepanenko

Quantum fluctuations give rise to van der Waals and Casimir forces that dominate the interaction between electrically neutral objects at sub-micron separations. Under the trend of miniaturization, such quantum electrodynamical effects are…

Mesoscale and Nanoscale Physics · Physics 2013-05-20 J. Zou , Z. Marcet , A. W. Rodriguez , M. T. H. Reid , A. P. McCauley , I. I. Kravchenko , T. Lu , Y. Bao , S. G. Johnson , H. B. Chan

We study the finite temperature Casimir interaction between two concentric cylinders. When the separation between the cylinders is much smaller than the radii of the cylinders, the asymptotic expansions of the Casimir interaction are…

Quantum Physics · Physics 2015-05-30 L. P. Teo

In this article we investigate the Casimir effect in the presence of a medium by quantizing the Electromagnetic (EM) field in the presence of a magnetodielectric medium by using the path integral formalism. For a given medium with definite…

Quantum Physics · Physics 2015-05-20 Fardin Kheirandish , Morteza Soltani , Jalal Sarabadani

We report on measurements of the Casimir force in a sphere-plane geometry using a cryogenic force microscope to move the force probe in situ over different materials. We show how the electrostatic environment of the interacting surfaces…

Mesoscale and Nanoscale Physics · Physics 2012-01-30 J. Laurent , H. Sellier , A. Mosset , S. Huant , J. Chevrier

A general calculation of Casimir energies --in an arbitrary number of dimensions-- for massless quantized fields in spherically symmetric cavities is carried out. All the most common situations, including scalar and spinor fields, the…

High Energy Physics - Theory · Physics 2008-11-26 Guido Cognola , Emilio Elizalde , Klaus Kirsten

The measurement of the Casimir force between a large gold coated sphere and single crystal silicon plate is performed with an atomic force microscope. A rigorous statistical comparison of data with theory is done, without use of the concept…

Quantum Physics · Physics 2009-11-11 F. Chen , U. Mohideen , G. L. Klimchitskaya , V. M. Mostepanenko

The Casimir stress on a spherical shell in de Sitter background for massless scalar field satisfying Dirichlet boundary conditions on the shell is calculated. The metric is written in conformally flat form. Although the metric is time…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. R. Setare , R. Mansouri

Casimir effect is the attractive force which acts between two plane parallel, closely spaced, uncharged, metallic plates in vacuum. This phenomenon was predicted theoretically in 1948 and reliably investigated experimentally only in recent…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , V. M. Mostepanenko

The new exact formulas for the attractive Casimir force acting on each of the two perfectly conducting plates moving freely inside an infinite perfectly conducting cylinder with the same cross section are derived at zero and finite…

High Energy Physics - Theory · Physics 2007-05-23 Valery N. Marachevsky

The Casimir energies for plate-sphere system and sphere-sphere system under PFA in the presence of one extra compactified universal dimension are analyzed. We find that the Casimir energy between a plate and a sphere in the case of…

High Energy Physics - Theory · Physics 2015-09-23 Hongbo Cheng

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…

Quantum Physics · Physics 2009-10-31 L. H. Ford

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…

High Energy Physics - Theory · Physics 2015-06-03 Dimitra Karabali

We consider the Casimir interaction, mediated by massless fermions, between a spherical defect and a flat potential barrier, assuming hard (bag-type) boundary conditions at both the barrier and the surface of the sphere. The computation of…

High Energy Physics - Theory · Physics 2015-07-06 Antonino Flachi , Lee-Peng Teo

The Casimir energy of a semi-circular cylindrical shell is calculated by making use of the zeta function technique. This shell is obtained by crossing an infinite circular cylindrical shell by a plane passing through the symmetry axes of…

High Energy Physics - Theory · Physics 2009-10-31 V. V. Nesterenko , G. Lambiase , G. Scarpetta