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The Casimir force between dissipative metallic mirrors at non zero temperature has recently given rise to contradictory claims which have raised doubts about the theoretical expression of the force. In order to contribute to the resolution…

Quantum Physics · Physics 2007-05-23 Serge Reynaud , Astrid Lambrecht , Cyriaque Genet

Thermal fluctuations of a critical system induce long-ranged Casimir forces between objects that couple to the underlying field. For two dimensional (2D) conformal field theories (CFT) we derive an exact result for the Casimir interaction…

Statistical Mechanics · Physics 2014-10-30 G. Bimonte , T. Emig , M. Kardar

We calculate exactly the Casimir force or dispersive force, in the non-retarded limit, between a spherical nanoparticle and a substrate beyond the London's or dipolar approximation. We find that the force is a non-monotonic function of the…

In this work the Casimir effect is studied for scalar fields in the presence of boundaries and under the influence of arbitrary smooth potentials of compact support. In this setting, piston configurations are analyzed in which the piston is…

High Energy Physics - Theory · Physics 2013-02-27 Matthew Beauregard , Guglielmo Fucci , Klaus Kirsten , Pedro Morales

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…

High Energy Physics - Theory · Physics 2009-05-12 K. A. Milton

The Casimir effect is a physical manifestation of zero point energy of quantum vacuum. In a relativistic quantum field theory, Poincar\'e symmetry of the theory seems, at first sight, to imply that non-zero vacuum energy is inconsistent…

Quantum Physics · Physics 2016-06-29 Takamaru Akita , Mamoru Matsunaga

A perfectly reflecting (Dirichlet) boundary condition at the edge of an impenetrable magnetic-flux-carrying tube of nonzero transverse size is imposed on the charged massive scalar matter field which is quantized outside the tube. We show…

High Energy Physics - Theory · Physics 2016-10-06 V. M. Gorkavenko , Yu. A. Sitenko , O. B. Stepanov

We determine exactly the non-retarded Casimir-Polder interaction between a neutral but polarizable particle and a perfectly reflecting sheet containing a circular hole. The calculation reveals a strong dependence of the interaction on the…

Atomic Physics · Physics 2015-03-19 Claudia Eberlein , Robert Zietal

The Casimir effect of an ideal Bose gas trapped in a generic power-law potential and confined between two slabs with Dirichlet, Neumann, and periodic boundary conditions is investigated systematically, based on the grand potential of the…

Statistical Mechanics · Physics 2015-06-11 Tongling Lin , Guozhen Su , Qiuping A. Wang , Jincan Chen

We calculate the Casimir force in the non-retarded limit between a spherical nanoparticle and a substrate, and we found that high-multipolar contributions are very important when the sphere is very close to the substrate. We show that the…

Quantum Physics · Physics 2007-05-23 C. E. Román-Velázquez , Cecilia Noguez , C. Villarreal , R. esquivel-Sirvent

The electromagnetic Casimir energies of a spherical and a cylindrical cavity are analyzed semiclassically. The field theoretical self-stress of a spherical cavity with ideal metallic boundary conditions is reproduced to better than 1%. The…

High Energy Physics - Theory · Physics 2007-05-23 Martin Schaden

We compute an analog Casimir effect in a one-dimensional spinless Luttinger liquid confined to a segment in the presence of a nearly-impenetrable partition dividing the segment into two compartments. The Casimir interaction is found to be a…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Eugene B. Kolomeisky , Joseph P. Straley , Michael Timmins

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

The Casimir force and thermal Casimir force originating from quantum electromagnetic fluctuations at zero and non-zero temperatures, respectively, are significant in nano- and microscale systems and are well-understood. Less understood,…

Mesoscale and Nanoscale Physics · Physics 2021-09-09 Yoichiro Tsurimaki , Xin Qian , Simo Pajovic , Svetlana Boriskina , Gang Chen

We study the Casimir interaction between a metallic cylindrical wire and a metallic spherical particle by employing the scattering formalism. At large separations, we derive the asymptotic form of the interaction. In addition, we find the…

Statistical Mechanics · Physics 2013-06-27 E. Noruzifar , P. Rodriguez-Lopez , T. Emig , R. Zandi

We present a simple formalism for the evaluation of the Casimir energy for two spheres and a sphere and a plane, in case of a scalar fluctuating field, valid at any separations. We compare the exact results with various approximation…

High Energy Physics - Theory · Physics 2007-05-23 Aurel Bulgac , Piotr Magierski , Andreas Wirzba

Several experimental demonstrations of the Casimir force between two closely spaced bodies have been realized over the past two decades. Extending the theory to incorporate the behavior of the force between two superconducting films close…

Quantum Physics · Physics 2018-07-23 Richard A. Norte , Moritz Forsch , Andreas Wallucks , Igor Marinkovic , Simon Gröblacher

In this paper we calculate the Casimir-Polder force density (force per unit area acting on the elements of the surface) on a metallic plate placed in front of a neutral atom. To obtain the force density we use the quantum operator…

Quantum Physics · Physics 2009-11-13 R. Messina , R. Passante

We reexamine the Casimir effect for the rectangular cavity with two or three equal edges in the presence of compactified universal extra dimension. We derive the expressions for the Casimir energy and discuss the nature of Casimir force. We…

High Energy Physics - Theory · Physics 2009-11-10 Hongbo Cheng

We extend our approach to the Casimir effect between absorbing dielectric multilayers [M. S. Tomas, Phys. Rev. A 66, 052103 (2002)] to magnetodielectric systems. The resulting expression for the force is used to numerically explore the…

Quantum Physics · Physics 2009-11-10 M. S. Tomas
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