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In this paper we show how the stochastic quantization method developed by Parisi and Wu can be used to obtain Casimir forces. Both quantum and thermal fluctuations are taken into account by a Langevin equation for the field. The method…

Quantum Physics · Physics 2015-05-30 Pablo Rodriguez-Lopez , Ricardo Brito , Rodrigo Soto

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

In the current work we present the complete results for the measurement of normal Casimir force between shallow and smooth sinusoidally corrugated gold coated sphere and a plate at various angles between the corrugations using an atomic…

Quantum Physics · Physics 2015-06-18 A. A. Banishev , J. Wagner , T. Emig , R. Zandi , U. Mohideen

We consider versions of the Casimir effect where the force can be controlled by changing the angle between two Casimir ``plates'' or the temperature of two nearby rings. We also present simple arguments for the sign of Casimir forces.

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Nussinov

We find the joint effect of non-zero temperature and finite conductivity onto the Casimir force between real metals. Configurations of two parallel plates and a sphere (lens) above a plate are considered. Perturbation theory in two…

Quantum Physics · Physics 2009-11-06 M. Bordag , B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We develop a formalism for the calculation of the flow of angular momentum carried by the fluctuating electromagnetic field within a cavity bounded by two flat anisotropic materials. By generalizing a procedure employed recently for the…

Quantum Physics · Physics 2009-11-11 José C. Torres-Guzmán , W. Luis Mochán

We explore the scattering approach to Casimir forces. Our main tool is the description of Casimir energy in terms of transition operators, as presented in Kenneth and Klich, Phys. Rev. Lett. 97, 160401 (2006). We study the convergence…

Quantum Physics · Physics 2009-11-13 Oded Kenneth , Israel Klich

The Casimir effect, arising from vacuum quantum fluctuations, plays a fundamental role in the development of modern quantum electrodynamics. In parallel, the field of condensed matter has flourished through the discovery of various…

Quantum Physics · Physics 2025-10-01 Zixuan Dai , Qing-Dong Jiang

Casimir forces are a manifestation of the change in the zero-point energy of the vacuum caused by the insertion of boundaries. We show how the Casimir force can be efficiently computed by consideration of the vacuum fluctuations that are…

Statistical Mechanics · Physics 2008-07-31 Eugene B. Kolomeisky , Joseph P. Straley

We present a general method to study the non-equilibrium behavior of Casimir type fluctuation induced forces for classical free scalar field theories. In particular we analyze the temporal evolution of the force towards its equilibrium…

Statistical Mechanics · Physics 2011-12-30 David S. Dean , Ajay Gopinathan

We study the lateral Casimir force between corrugated dielectric plates. We use the dielectric contrast perturbation theory [R. Golestanian, {\it Phys. Rev. Lett.} {\bf 95}, 230601, (2005)], which allows us to consider arbitrary…

Quantum Physics · Physics 2014-09-17 Arash Azari , MirFaez Miri

This work is a continuation of our papers from the last couple of years on the Casimir friction for a pair of particles at low relative velocity. The new element in the present analysis is to allow the media to be dense. Then the situation…

Quantum Physics · Physics 2013-10-21 Johan S. Høye , Iver Brevik

We describe a three-dimensional geometry that exhibits a repulsive Casimir force using ordinary metallic materials, as computed via an exact numerical method (no uncontrolled approximations). The geometry consists of a zippelike,…

In the presence of an external field, the imposition of specific boundary conditions can lead to interesting new manifestations of the Casimir effect. In particular, it is shown here that even a single conducting plate may experience a…

Quantum Physics · Physics 2009-11-10 Pervez Hoodbhoy

The principles of the electromagnetic fluctuation-induced phenomena such as Casimir forces are well understood. However, recent experimental advances require universal and efficient methods to compute these forces. While several approaches…

Quantum Physics · Physics 2021-08-17 Giuseppe Bimonte , Thorsten Emig

Non-Commutative space-time introduces a fundamental length scale suggested by approaches to quantum gravity. Here we report the analysis of the Casimir effect for parallel plates separated by a distance of $L$ using a Lorentz invariant…

High Energy Physics - Theory · Physics 2024-02-08 E. Harikumar , Suman Kumar Panja

In this paper, the Casimir effect for parallel plates in the presence of one compactified universal extra dimension is reexamined in detail. Having regularized the expressions of Casimir force, we show that the nature of Casimir force is…

High Energy Physics - Theory · Physics 2009-11-11 Hongbo Cheng

The dielectric sphere has been an important test case for understanding and calculating the vacuum force of a dielectric body onto itself. Here we develop a method for computing this force in homogeneous spheres of arbitrary dielectric…

Quantum Physics · Physics 2018-08-01 Yael Avni , Ulf Leonhardt

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 develop a computational study of Casimir forces between three dimensional (3D) finite objects with an internal granular structure. The objects in the model consist of a finite arrangement of nanometer sized spherical particles having a…

Quantum Physics · Physics 2008-06-13 C E Román-Velázquez , Bo E Sernelius