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We study the lateral Casimir force experienced by a particle that rotates near a planar surface. The origin of this force lies in the symmetry breaking induced by the particle rotation in the vacuum and thermal fluctuations of its dipole…

The Casimir force between two parallel uncharged closely spaced metallic plates is evaluated in ways alternatives to those usually considered in the literature. In a first approximation we take in account the suppressed quantum numbers of a…

General Physics · Physics 2009-01-08 P. R. Silva

Based on a unified approach to macroscopic QED that allows for the inclusion of amplification in a limited space and frequency range, we study the Casimir force as a Lorentz force on an arbitrary partially amplifying system of linearly…

Quantum Physics · Physics 2015-05-13 Agnes Sambale , Dirk-Gunnar Welsch , Stefan Yoshi Buhmann , Ho Trung Dung

We study the Casimir force acting on a conducting piston with arbitrary cross section. We find the exact solution for a rectangular cross section and the first three terms in the asymptotic expansion for small height to width ratio when the…

Quantum Physics · Physics 2008-11-26 M. P. Hertzberg , R. L. Jaffe , M. Kardar , A. Scardicchio

We discuss four different, though related, fundamental topics related to the Casimir effect: 1) We suggest that the application of Casimir theory to real dielectric materials, thus implying the atomic spacing as a course-grained length…

Quantum Physics · Physics 2022-06-03 Iver Brevik

We study the situation where two point like mirrors are placed in the vacuum state of a scalar field in a two-dimensional spacetime. Describing the scattering upon the mirrors by transmittivity and reflectivity functions obeying unitarity,…

Quantum Physics · Physics 2023-04-14 Marc-Thierry Jaekel , 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 predict a repulsive Casimir-Polder-type dispersion interaction between a single neutron and a metal or dielectric surface. We consider a scenario where a single neutron is subject to an external magnetic field. Due to its intrinsic…

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

The mutual electromagnetic correlations between two spatially separated systems gives rise to Casimir and Casimir-Polder effect. The corresponding forces, which are generally attractive for most vacuum-separated metallic or dielectric…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Partha Goswami

We present the scattering approach which is nowadays the best tool for describing the Casimir force in realistic experimental configurations. After reminders on the simple geometries of 1d space and specular scatterers in 3d space, we…

Quantum Physics · Physics 2015-05-18 S. Reynaud , A. Canaguier-Durand , R. Messina , A. Lambrecht , P. A. Maia Neto

The general perturbative expression for the lateral Casimir force between two plates covered by longitudinal corrugations of arbitrary shape is obtained. This expression is applicable for corrugation periods larger than the separation…

Quantum Physics · Physics 2009-11-10 E. V. Blagov , G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

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 investigate the three dimensional lattice XY model with nearest neighbor interaction. The vector order parameter of this system lies on the vertices of a cubic lattice, which is embedded in a system with a film geometry. The orientations…

Statistical Mechanics · Physics 2011-10-28 Jonathan Bergknoff , Daniel Dantchev , Joseph Rudnick

A novel approach for calculating Casimir forces between periodically deformed objects is developed. This approach allows, for the first time, a rigorous non-perturbative treatment of the Casimir effect for disconnected objects beyond…

Statistical Mechanics · Physics 2010-12-17 Thorsten Emig

The Casimir interaction energy due to the vacuum fluctuations of a massive vector field between two perfectly conducting concentric spherical bodies is computed. The TE contribution to the Casimir interaction energy is a direct…

Quantum Physics · Physics 2015-05-20 L. P. Teo

We have recently demonstrated that Casimir energy due to parallel plates, including its divergent parts, falls like conventional mass in a weak gravitational field. The divergent parts were suitably interpreted as renormalizing the bare…

High Energy Physics - Theory · Physics 2008-11-26 K. V. Shajesh , Kimball A. Milton , Prachi Parashar , Jeffrey A. Wagner

We give an exact series expansion of the Casimir force between plane and spherical metallic surfaces in the non trivial situation where the sphere radius $R$, the plane-sphere distance $L$ and the plasma wavelength $\lambda_\P$ have…

We consider a massless scalar field obeying Dirichlet boundary conditions on the walls of a two-dimensional L x b rectangular box, divided by a movable partition (piston) into two compartments of dimensions a x b and (L-a) x b. We compute…

Quantum Physics · Physics 2007-05-23 R. M. Cavalcanti

Using numerical analytic continuation, we compute the Zeta function for the Casimir Effect for circular geometries in 2+1 dimensions. After subtraction of the simple pole of the zeta function, essentially MS renormalization, we find the…

High Energy Physics - Theory · Physics 2022-03-24 Daniel Davies