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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

The Casimir effect and superconductivity are foundational quantum phenomena whose interplay is an open question in physics, with significant implications for electron physics, quantum gravity, and high-temperature superconductivity.…

We present the complete results for the dynamic experiment on measuring the gradient of the Casimir force between magnetic (Ni-coated) surfaces of a plate and a sphere. Special attention is paid to the description of some details of the…

Other Condensed Matter · Physics 2014-03-25 A. A. Banishev , G. L. Klimchitskaya , V. M. Mostepanenko , U. Mohideen

The Casimir force between parallel plates of arbitrary kind is shown to be simply related to the plates transmission and reflection coefficient. A trivial application of this general relation leads to the known Lifshitz force between…

High Energy Physics - Theory · Physics 2007-05-23 O. Kenneth

We present a theoretical analysis of the one-loop effective potential of a self-interacting real scalar field in the presence of two parallel conducting plates with geometric roughness. Using WKB methods to evaluate the spectral density of…

High Energy Physics - Theory · Physics 2026-04-17 Claudio Bórquez , Byron Droguett

The vacuum expectation value of the electromagnetic energy-momentum tensor between two parallel plates in spacetime dimensions D > 4 is calculated in the axial gauge. While the pressure between the plates agrees with the global Casimir…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Alnes , K. Olaussen , F. Ravndal , I. K. Wehus

The Casimir effect for parallel plates satisfying the Dirichlet boundary condition in the context of effective QED coming from a six-dimensional Nielsen-Olesen vortex solution of the Abelian Higgs model with fermions coupled to gravity is…

High Energy Physics - Theory · Physics 2016-07-26 Hongbo Cheng

Two main approaches in particle-based simulations for modeling a charged surface are using explicit, discrete charges and continuum, uniform charges. It is well-known that these two approaches could lead to substantially distinct ionic…

Soft Condensed Matter · Physics 2022-08-02 Jiaxing Yuan , Yanwei Wang

Recently W. J. Kim, M. Brown-Hayes, D. A. R. Dalvit, J. H. Brownell, and R. Onofrio [Phys. Rev. A, v.78, 036102(R) (2008)] performed electrostatic calibrations for a plane plate above a centimeter-size spherical lens at separations down to…

The interaction of the electromagnetic field with a two dimensional plasma sheet intended to describe the pi-electrons of a carbon nano-tube or a $C_{60}$ molecule is investigated. By integrating out first the displacement field of the…

Quantum Physics · Physics 2009-11-13 M. Bordag

The Casimir effect in graphene systems is reviewed with emphasis made on the large thermal correction to the Casimir force predicted at short separations between the test bodies. The computational results for the Casimir pressure and for…

Quantum Physics · Physics 2022-11-15 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

The effect of edges and apertures on the Casimir energy of an arrangement of plates and boundaries can be calculated in terms of an effective nonlocal lower-dimensional field theory that lives on the boundary. This formalism has been…

High Energy Physics - Theory · Physics 2013-06-05 Dimitra Karabali , V. P. Nair

We develop an exact method for computing the Casimir energy between arbitrary compact objects, both with boundary conditions for a scalar field and dielectrics or perfect conductors for the electromagnetic field. The energy is obtained as…

Quantum Physics · Physics 2008-11-26 T. Emig , R. L. Jaffe

We investigate the Casimir pressure between two parallel plates made of magnetic materials at nonzero temperature. It is shown that for real magnetodielectric materials only the magnetic properties of ferromagnets can influence the Casimir…

Quantum Physics · Physics 2015-05-14 G. L. Klimchitskaya , B. Geyer , V. M. Mostepanenko

We derive analytically the asymptotic behavior of the Casimir interaction between a sphere and a plate when the distance between them, $d$, is much smaller than the radius of the sphere, $R$. The leading order and next-to-leading order…

Quantum Physics · Physics 2013-08-28 L. P. Teo

We study the Casimir effect for a parallel plate setup with one plate with dynamical edge mode (DEM) boundary conditions, and one plate with perfect electromagnetic conductor (PEMC) boundary conditions. In order to restore BRST invariance,…

High Energy Physics - Theory · Physics 2026-05-12 Jarne Devroe , David Dudal , Sebbe Stouten

In this article we present calculations of van der Waals/Casimir forces, described by Lifshitz theory, for the solid-liquid-solid system using measured dielectric functions of all involved materials for the wavelength range from millimeters…

Soft Condensed Matter · Physics 2015-05-13 P. J. van Zwol , G. Palasantzas , J. Th. M. De Hosson

Experiments that measure extremely small gravitational forces are often hampered by the presence of non-gravitational forces that can neither be calculated nor separately measured. Among these spurious forces is electrostatic attraction…

Instrumentation and Detectors · Physics 2015-06-16 Robert D. Reasenberg , Kathleen P. Donahue , James D. Phillips

We describe a novel experiment based on atoms trapped close to a macroscopic surface, to study the interactions between the atoms and the surface at very small separations (0.6 to 10 $\mu$m). In this range the dominant potential is the QED…

Using the measured optical response and surface roughness topography as inputs, we perform realistic calculations of the combined effect of Casimir and electrostatic forces on the actuation dynamics of micro-electromechanical systems…

Mesoscale and Nanoscale Physics · Physics 2013-03-15 Wijnand Broer , George Palasantzas , Jasper Knoester , Vitaly B. Svetovoy
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