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The problem of thermal Casimir force, which consists in disagreement of theoretical predictions of the fundamental Lifshitz theory with the measurement data of high precision experiments and some peculiar properties of the Casimir entropy,…

Quantum Physics · Physics 2022-11-15 G. L. Klimchitskaya , V. M. Mostepanenko

The Casimir energy is the first-order-in-\hbar correction to the energy of a time-independent field configuration in a quantum field theory. We study the Casimir energy in a toy model, where the classical field is replaced by a separable…

High Energy Physics - Theory · Physics 2009-10-31 R. L. Jaffe , L. R. Williamson

The Casimir energy, free energy and Casimir force are evaluated, at arbitrary finite temperature, for a dilute dielectric ball with uniform velocity of light inside the ball and in the surrounding medium. In particular, we investigate the…

High Energy Physics - Theory · Physics 2009-10-31 I. Klich , J. Feinberg , A. Mann , M. Revzen

The Casimir effect for spherical geometry is calculated using generalized Thermofield Dynamics for the case of scalar field. Casimir force and Casimir pressure are presented. It is found that for high temperatures the Casimir force does…

High Energy Physics - Theory · Physics 2008-03-25 D. U. Matrasulov , Kh. T. Butanov , Kh. Yu. Rakhimov , F. C. Khanna , A. E. Santana

The Casimir effect arises when long-ranged fluctuations are geometrically confined between two surfaces, leading to a macroscopic force. Traditionally, these forces have been observed in quantum systems and near critical points in classical…

Soft Condensed Matter · Physics 2017-01-19 Justin C. Burton , Juan-José Liétor-Santos

We consider the Casimir effect of a massive vector field between two semi-infinite dielectric slabs. We first derive the generalization of the Lifshitz formula that gives the Casimir interaction energy of two magnetodielectric slabs…

Quantum Physics · Physics 2015-06-05 L. P. Teo

The Casimir force in a system consisting of two parallel conducting plates in the presence of compactified universal extra dimensions (UXD) is analyzed. The Casimir force with UXDs differs from the force obtained without extra dimensions. A…

High Energy Physics - Theory · Physics 2014-11-18 Katja Poppenhaeger , Sabine Hossenfelder , Stefan Hofmann , Marcus Bleicher

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

The possibility to modify the strength of the Casimir effect by tailoring the dielectric functions of the interacting surfaces is regarded as a unique opportunity in the development of Micro- and NanoElectroMechanical Systems. In air,…

Quantum Physics · Physics 2009-09-02 S. de Man , K. Heeck , R. J. Wijngaarden , D. Iannuzzi

We have performed a precise experimental determination of the Casimir pressure between two gold-coated parallel plates by means of a micromachined oscillator. In contrast to all previous experiments on the Casimir effect, where a small…

Quantum Physics · Physics 2016-08-16 G. L. Klimchitskaya , R. S. Decca , E. Fischbach , D. E. Krause , D. López , V. M. Mostepanenko

We develop a spectral representation formalism to calculate the Casimir force in the non-retarded limit, between a spherical particle and a substrate, both with arbitrary local dielectric properties. This spectral formalism allows one to do…

Quantum Physics · Physics 2007-05-23 Cecilia Noguez , C. E. Roman-Velazquez

The Casimir force due to a massless scalar field satisfying Dirichlet boundary conditions may attract or repel a piston in the neck of a flask-like container. Using the world-line formalism this behavior is related to the competing…

Quantum Physics · Physics 2009-02-11 Martin Schaden

The Casimir force between two parallel plates in the G\"odel universe is computed for a scalar field at finite temperature. It is observed that when the plates separation is comparable with the scale given by the rotation of the space-time,…

High Energy Physics - Theory · Physics 2019-08-22 Sh. Khodabakhshi , A. Shojai

We calculate the Casimir force for a fermionic quantum field in a piston geometry with three parallel plates. The fermion satisfies bag boundary conditions on the plates and the spacetime is assumed to have compact extra dimensions. The…

High Energy Physics - Theory · Physics 2013-09-13 V. K. Oikonomou

The lateral Casimir force between a sinusoidally corrugated gold coated plate and large sphere was measured for surface separations between 0.2 $\mu$m to 0.3 $\mu$m using an atomic force microscope. The measured force shows the required…

Quantum Physics · Physics 2009-11-07 F. Chen , U. Mohideen , G. L. Klimchitskaya , V. M. Mostepanenko

The Casimir force can be understood as resulting from the radiation pressure exerted by the vacuum fluctuations reflected by boundaries. We extend this local formulation to the case of partially transmitting boundaries by introducing…

Quantum Physics · Physics 2009-11-07 Marc-Thierry Jaekel , Serge Reynaud

The Casimir effect is a macroscopic evidence of the quantum nature of the vacuum. On a ring, it leads to a finite size correction to the vacuum energy. In this work, we show that this vacuum's energy and pressure acquire additional, sizable…

Quantum Gases · Physics 2024-07-23 Baptiste Bermond , Adolfo G. Grushin , David Carpentier

We develop a discretized theory of thermal Casimir interactions to numerically calculate the interactions between fluctuating dielectrics. From a constrained partition function we derive a surface free energy, while handling divergences…

Statistical Mechanics · Physics 2009-11-13 S. Pasquali , F. Nitti , A. C. Maggs

We employ path integral methods to calculate the Casimir energy and force densities in a chiral extension of QED. Manifestly gauge invariant perfect electromagnetic boundary conditions, a natural generalization of perfect electric and…

High Energy Physics - Theory · Physics 2023-02-10 Fabrizio Canfora , David Dudal , Thomas Oosthuyse , Pablo Pais , Luigi Rosa

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
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