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The Casimir force between metallic plates made of realistic materials is evaluated for distances in the nanometer range. A spectrum over real frequencies is introduced and shows narrow peaks due to surface resonances (plasmon polaritons or…

A differential measurement scheme is proposed which allows for a clear observation of the giant thermal effect for the Casimir force, that was recently predicted to occur in graphene systems at short separation distances. The difference…

Mesoscale and Nanoscale Physics · Physics 2017-08-03 G. Bimonte , G. L. Klimchitskaya , V. M. Mostepanenko

A micromechanical torsion oscillator has been used to strengthen the limits on new Yukawa forces by determining the Casimir pressure between two gold-coated plates. By significantly reducing the random errors and obtaining the electronic…

High Energy Physics - Phenomenology · Physics 2016-08-14 R. S. Decca , D. López , E. Fischbach , G. L. Klimchitskaya , D. E. Krause , 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

We investigate, in the context of a real massless scalar field in $1+1$ dimensions, models of partially reflecting mirrors simulated by Dirac $\delta-\delta^{\prime}$ point interactions. In the literature, these models do not exhibit full…

Quantum Physics · Physics 2016-12-21 Alessandra N. Braga , Jeferson Danilo L. Silva , Danilo T. Alves

We report precision measurements of the gradient of the Casimir force between an Au-coated sphere and graphene sheet deposited on a silica plate. The measurement data are compared with exact theory using the polarization tensor found in the…

Quantum Physics · Physics 2021-06-14 M. Liu , Y. Zhang , G. L. Klimchitskaya , V. M. Mostepanenko , U. Mohideen

We review recent developments in the Casimir effect which arises in quantization volumes restricted by material boundaries and in spaces with non-Euclidean topology. The starting point of our discussion is the novel exact solution for the…

Quantum Physics · Physics 2016-11-15 V. M. Mostepanenko

In most experiments on the Casimir force the comparison between measurement data and theory was done using the concept of the root-mean-square deviation, a procedure that has been criticized in literature. Here we propose a special…

We calculate the Casimir force between two parallel ideal metal plates when there is an intervening chiral medium present. Making use of methods of quantum statistical mechanics we show how the force can be found in a simple and compact…

Quantum Physics · Physics 2020-02-26 Johan S. Høye , Iver Brevik

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

Casimir and electrostatic non-contact friction between two gold plates, and a gold tip and a gold plate, are calculated taking into account the contribution of the electrical double layer. It is shown that in an extreme-near field…

Mesoscale and Nanoscale Physics · Physics 2022-01-11 A. I. Volokitin

We study the Casimir force between a nanoparticle and a substrate. We consider the interaction of metal nanoparticles with different substrates within the dipolar approximation. We study the force as a function of the distance for gold and…

Quantum Physics · Physics 2008-04-15 C. E. Roman-Velazquez , Cecilia Noguez , C. Villarreal , R. Esquivel-Sirvent

We report the first isoelectronic differential force measurements between a Au-coated probe and two Au-coated films, made out of Au and Ge. These measurements, performed at submicron separations using soft microelectromechanical torsional…

High Energy Physics - Phenomenology · Physics 2009-11-11 R. S. Decca , D. Lopez , H. B. Chan , E. Fischbach , D. E. Krause , C. Jamell

The recent ideas that the gravitational and gauge interactions become united at the weak scale lead to Yukawa-type corrections to the Newtonian gravitational law at small distances. We briefly summarize the best constraints on these…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. M. Mostepanenko , M. Novello

Casimir forces between conductors at the sub-micron scale cannot be ignored in the design and operation of micro-electromechanical (MEM) devices. However, these forces depend non-trivially on geometry, and existing formulae and…

We analyze the possibility to measure small thermal effects in the Casimir force between metal test bodies in configurations of a sphere above a plate and two parallel plates. For sphere-plate geometry used in many experiments we…

Materials Science · Physics 2010-12-09 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

The Casimir force between bodies in vacuum can be understood as arising from their interaction with an infinite number of fluctuating electromagnetic quantum vacuum modes, resulting in a complex dependence on the shape and material of the…

Recently J.N. Munday and F. Capasso [Phys. Rev. A {\bf 75}, 060102(R) (2007); arXiv:0705.3793] claimed that they have performed a precision measurement of the Casimir force between a sphere and a plate coated with Au, both immersed in…

Atomic Physics · Physics 2009-11-13 B. Geyer , G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

The impedance boundary condition is used to calculate the Casimir force in configurations of two parallel plates and a shpere (spherical lens) above a plate at both zero and nonzero temperature. The impedance approach allows one to find the…

Quantum Physics · Physics 2009-11-07 V. B. Bezerra , G. L. Klimchitskaya , C. Romero

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