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The Casimir energies and pressures for a massless scalar field associated with $\delta$-function potentials in 1+1 and 3+1 dimensions are calculated. For parallel plane surfaces, the results are finite, coincide with the pressures…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A. Milton

The Casimir force between two metallic plates is affected by their roughness state. This effect is usually calculated through the so-called `proximity force approximation' which is only valid for small enough wavevectors in the spectrum of…

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

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.…

We study the Casimir energy of a massless scalar field that obeys Dirichlet boundary conditions on a hyperboloid facing a plate. We use the optical approximation including the first six reflections and compare the results with the…

High Energy Physics - Theory · Physics 2009-11-10 O. Schroeder , A. Scardicchio , R. L. Jaffe

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

We measure the Casimir force between a gold sphere and a silicon plate with nanoscale, rectangular corrugations with depth comparable to the separation between the surfaces. In the proximity force approximation (PFA), both the top and…

Understanding the force between charged surfaces immersed in an electrolyte solution is a classic problem in soft matter and liquid-state theory. Recent experiments showed that the force decays exponentially but the characteristic decay…

Soft Condensed Matter · Physics 2018-09-26 Alpha A. Lee , Jean-Pierre Hansen , Olivier Bernard , Benjamin Rotenberg

We study fluctuation-induced interaction in confined fluids above the isotropic-lamellar transition. At an ideal continuous transition, the disjoining pressure has the asymptotic form $\Pi(d\to\infty)\approx -C k_BT q_0^2/d$, where $d$ is…

Soft Condensed Matter · Physics 2009-11-07 Nariya Uchida

The local Casimir energy density and the global Casimir energy for a massless scalar field associated with a $\lambda\delta$-function potential in a 3+1 dimensional circular cylindrical geometry are considered. The global energy is examined…

High Energy Physics - Theory · Physics 2008-11-26 Ines Cavero-Pelaez , Kimball A. Milton , Klaus Kirsten

We derive the exact Casimir-Polder potential for a polarizable microparticle inside an ideal metal cylindrical shell using the Green function method. The exact Casimir-Polder potential for a particle outside a shell, obtained recently by…

High Energy Physics - Theory · Physics 2011-04-20 V. B. Bezerra , E. R. Bezerra de Mello , G. L. Klimchitskaya , V. M. Mostepanenko , A. A. Saharian

In this paper, dedicated to Johan H{\o}ye on the occasion of his 70th birthday, we examine manifestations of Casimir torque in the weak-coupling approximation, which allows exact calculations so that comparison with the universally…

High Energy Physics - Theory · Physics 2013-09-03 Kimball A. Milton , Prachi Parashar , William Long

The Casimir force is calculated in the configuration of a spherical lens and a disc of finite radius covered by $Cu$ and $Au$ thin layers which was used in a recent experiment. The correction to the Casimir force due to finiteness of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Bordag , B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We report an improved precision measurement of the Casimir force. The force is measured between a large Al coated sphere and flat plate using an Atomic Force Microscope. The primary experimental improvements include the use of smoother…

Quantum Physics · Physics 2009-07-09 Anushree Roy , Chiung-Yuan Lin , U. Mohideen

Recently the influence of dielectric and geometrical properties on the Casimir force between dispersing and absorbing multilayered plates in the zero-temperature limit has been studied within a 1D quantization scheme for the electromagnetic…

Quantum Physics · Physics 2016-08-16 Christian Raabe , Ludwig Knöll , Dirk-Gunnar Welsch

We derive an expression for the Casimir force between slabs with arbitrary dielectric properties characterized by their reflection coefficients. The formalism presented here is applicable to media with a local or a non-local dielectric…

Quantum Physics · Physics 2007-05-23 W. L. Mochan , C. Villarreal , R. ESquivel-Sirvent

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…

We investigate the possibility of measuring the thermal Casimir force and its gradient in the configuration of a plate and a microfabricated cylinder attached to a micromachined oscillator. The Lifshitz-type formulas in this configuration…

Quantum Physics · Physics 2015-05-20 R. S. Decca , E. Fischbach , G. L. Klimchitskaya , D. E. Krause , D. Lopez , V. M. Mostepanenko

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

The Casimir force follows from quantum fluctuations of the electromagnetic field and yields a nonlinear attractive force between closely spaced conductive objects. Measuring the Casimir force in superconducting materials on either side of…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 Matthijs H. J. de Jong , Evren Korkmazgil , Louise Banniard , Mika A. Sillanpää , Laure Mercier de Lépinay

We investigate the nontrivial interplay between geometry and temperature in the Casimir effect for the sphere-plate and cylinder-plate configurations. At low temperature, the thermal contribution to the Casimir force is dominated by this…

High Energy Physics - Theory · Physics 2010-12-24 Alexej Weber , Holger Gies