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The Casimir effect, the dispersion force attracting neutral objects to each other, may be understood in terms of multiple scattering of light between the interacting bodies. We explore the simple model in which the bodies are assumed to…

Quantum Physics · Physics 2010-04-29 Simen Å. Ellingsen

We develop an exact method for computing the Casimir energy between arbitrary compact objects, both with boundary conditions for a scalar field and dielectrics or perfect conductors for the electromagnetic field. The energy is obtained as…

Quantum Physics · Physics 2008-11-26 T. Emig , R. L. Jaffe

Quantum fluctuations of the electromagnetic field in the medium surrounding two discharged macroscopic polarizable bodies induce a force between the two bodies, the so called Casimir force. In the last two decades many experiments have…

Quantum Physics · Physics 2017-08-02 Giuseppe Bimonte

We present calculations of the Casimir interaction between a sphere and a plane, using a multipolar expansion of the scattering formula. This configuration enables us to study the nontrivial dependence of the Casimir force on the geometry,…

Current theory is able to predict the Casimir force between macroscopic bodies with an accuracy only limited by the knowledge of the material parameters. Yet surprisingly after almost 70 years of research, while theory describes the Casimir…

Quantum Physics · Physics 2017-10-04 Itay Griniasty , Ulf Leonhardt

In this paper we theoretically demonstrate the tunability of the Casimir force both in sign and magnitude between parallel plates coated with dispersive materials. We show that this force, existing between uncharged plates, can be tuned by…

Quantum Physics · Physics 2022-06-15 Miguel Camacho , Tao Gong , Benjamin Spreng , Iñigo Liberal , Nader Engheta , Jeremy N. Munday

We consider the finite temperature Casimir effect between two concentric spheres due to the vacuum fluctuations of the electromagnetic field in the $(D+1)$-dimensional Minkowski spacetime. Different combinations of perfectly conducting and…

Quantum Physics · Physics 2011-08-08 L. P. Teo

We study the thermal Casimir effect between two thick slabs composed of plane-parallel layers of random dielectric materials interacting across an intervening homogeneous dielectric. It is found that the effective interaction at long…

Disordered Systems and Neural Networks · Physics 2015-05-13 D. S. Dean , R. R. Horgan , A. Naji , R. Podgornik

The Casimir force $\cF = -\frac{\pi^2\hbar c}{240a^4}$, which attracts to each other two perfectly conducting parallel plates separated by the distance $a$ in vacuum, is one of the blueprints of the reality of vacuum fluctuations. Following…

High Energy Physics - Theory · Physics 2015-05-27 Mikhail Altaisky , Natalia Kaputkina

We develop a method to compute the Casimir effect for arbitrary geometries. The method is based on the string-inspired worldline approach to quantum field theory and its numerical realization with Monte-Carlo techniques. Concentrating on…

High Energy Physics - Theory · Physics 2009-11-10 Holger Gies , Kurt Langfeld , Laurent Moyaerts

In order to compare recent experimental results with theoretical predictions we study the influence of finite conductivity of metals on the Casimir effect. The correction to the Casimir force and energy due to imperfect reflection and…

Quantum Physics · Physics 2023-04-14 Astrid Lambrecht , Cyriaque Genet , Serge Reynaud

We calculate the second order roughness correction to the Casimir energy for two parallel metallic mirrors. Our results may also be applied to the plane-sphere geometry used in most experiments. The metallic mirrors are described by the…

Quantum Physics · Physics 2016-09-08 Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

We discuss a proposal to measure the Casimir force in the parallel plate configuration in the $1-10\mu$m range via a high-sensitivity torsional balance. This will allow to measure the thermal contribution to the Casimir force therefore…

Quantum Physics · Physics 2007-05-23 A. Lambrecht , V. V. Nesvizhevsky , R. Onofrio , S. Reynaud

We study the finite temperature Casimir interaction between a cylinder and a plate using the exact formula derived from the Matsubara representation and the functional determinant representation. We consider the scalar field with Dirichlet…

Quantum Physics · Physics 2011-08-12 L. P. Teo

Casimir force searches provide among the most sensitive laboratory probes of new short range interactions. Existing constraints rely almost exclusively on a single geometry. We show that Casimir geometry constitutes an independent…

High Energy Physics - Phenomenology · Physics 2026-03-25 Xiaolin Ma , Volodymyr Takhistov , Hideo Iizuka

We discuss recent experimental and theoretical results on the Casimir force between real material bodies made of different materials. Special attention is paid to calculations of the normal Casimir force acting perpendicular to the surface…

Quantum Physics · Physics 2011-03-10 G. L. Klimchitskaya

Using nonstandard recursion relations for Fresnel coefficients involving successive stacks of layers, we extend the Lifshitz formula to configurations with an inhomogeneous, n-layered, medium separating two planar objects. The force on each…

Quantum Physics · Physics 2014-01-28 Marin-Slobodan Tomas

A theory is proposed for the component of the Casimir-like force that arises between bodies embedded in a macroscopic quantum damped oscillator. When the oscillator's parameters depend on the distance between the bodies, the…

Quantum Physics · Physics 2026-02-16 Yu. S. Barash

The Standard Model of elementary particles and their interactions does not include the gravitational interaction and faces problems in understanding of the dark matter, dark energy, strong CP violation etc. In continuing attempts to solve…

High Energy Physics - Phenomenology · Physics 2023-12-13 Galina L. Klimchitskaya , Vladimir M. Mostepanenko

We calculate the roughness correction to the Casimir effect in the parallel plates geometry for metallic plates described by the plasma model. The calculation is perturbative in the roughness amplitude with arbitrary values for the plasma…

Quantum Physics · Physics 2007-05-23 Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud
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