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The experimental investigation of the Casimir force between a large metallized sphere and semiconductor plate is performed using an atomic force microscope. Improved calibration and measurement procedures permitted reduction in the role of…

Quantum Physics · Physics 2009-11-13 F. Chen , U. Mohideen , G. L. Klimchitskaya , V. M. Mostepanenko

The Casimir effect describes the attractive force arising due to quantum fluctuations of the vacuum electromagnetic field between closely spaced conducting plates. Traditionally, zeta-regularization is employed in calculations to address…

Quantum Physics · Physics 2024-06-12 Ching-Hsuan Yen

We have used an atomic force microscope to make precision measurements of the Casimir force between a metallized sphere of diameter 196 microns and flat plate. The force was measured for plate-sphere separations from 0.1 to 0.9 microns. The…

Optics · Physics 2009-09-25 U. Mohideen , Anushree Roy

We derive an exact analytic expression for the high-temperature limit of the Casimir interaction between two Drude spheres of arbitrary radii. Specifically, we determine the Casimir free energy by using the scattering approach in the…

Quantum Physics · Physics 2021-05-31 Tanja Schoger , Gert-Ludwig Ingold

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 calculate the Casimir interaction between a sphere and a plate, both described by the plasma model, the Drude model, or generalizations of the two models. We compare the results at both zero and finite temperatures. At asymptotically…

Statistical Mechanics · Physics 2015-05-18 Roya Zandi , Thorsten Emig , Umar Mohideen

We report an improved dynamic determination of the Casimir pressure between two plane plates obtained using a micromachined torsional oscillator. The main improvements in the current experiment are a significant suppression of the surface…

Quantum Physics · Physics 2009-11-11 R. S. Decca , D. Lopez , E. Fischbach , G. L. Klimchitskaya , D. E. Krause , V. M. Mostepanenko

In this work we theoretically consider the Casimir force between two periodic arrays of nanowires (both in vacuum, and on a substrate separated by a fluid) at separations comparable to the period. Specifically, we compute the dependence of…

The Casimir Effect is a physical manifestation of quantum fluctuations of the electromagnetic vacuum. When two metal plates are placed closely together, typically much less than a micron, the long wavelength modes between them are frozen…

Applied Physics · Physics 2018-10-23 Alexander Stange , Matthias Imboden , Josh Javor , Lawrence K. Barrett , David J. Bishop

We propose a new approach to the Casimir effect based on classical ray optics. We define and compute the contribution of classical optical paths to the Casimir force between rigid bodies. We reproduce the standard result for parallel plates…

Quantum Physics · Physics 2008-11-26 R. L. Jaffe , A. Scardicchio

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 give a comprehensive presentation of methods for calculating the Casimir force to arbitrary accuracy, for any number of objects, arbitrary shapes, susceptibility functions, and separations. The technique is applicable to objects immersed…

Quantum Physics · Physics 2010-08-23 Sahand Jamal Rahi , Thorsten Emig , Noah Graham , Robert L. Jaffe , Mehran Kardar

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

High Energy Physics - Theory · Physics 2008-11-26 Valery N. Marachevsky

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

Patch potentials arising from the polycrystalline structure of material samples may contribute significantly to measured signals in Casimir force experiments. Most of these experiments are performed in the sphere-plane geometry, yet, up to…

Other Condensed Matter · Physics 2013-01-11 R. O. Behunin , Y. Zeng , D. A. R. Dalvit , S. Reynaud

This thesis consists on two separate parts. In the first part, we discuss about the nature of the Casimir effect as the response of a fluctuant medium to the breakdown of the translation symmetry because the presence of intrusions in that…

Quantum Physics · Physics 2012-07-05 Pablo Rodriguez-Lopez

We review the theory of the Casimir effect using scattering techniques. After years of theoretical efforts, this formalism is now largely mastered so that the accuracy of theory-experiment comparisons is determined by the level of precision…

Quantum Physics · Physics 2007-05-23 A. Lambrecht , P. A. Maia Neto , S. Reynaud

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

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

We study the Casimir interaction between a dielectric nanosphere and a metallic plane, using the multiple scattering theory. Exact results are obtained with the dielectric described by a Sellmeier model and the metal by a Drude model.…