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We develop an exact method for computing the Casimir energy between arbitrary compact objects, either dielectrics or perfect conductors. The energy is obtained as an interaction between multipoles, generated by quantum current fluctuations.…

Statistical Mechanics · Physics 2008-11-26 T. Emig , N. Graham , R. L. Jaffe , M. Kardar

We study Casimir interactions between cylinders in thermal non-equilibrium, where the objects as well as the environment are held at different temperatures. We provide the general formula for the force, in a one reflection approximation,…

Quantum Physics · Physics 2013-01-17 Vladyslav A. Golyk , Matthias Krüger , M. T. Homer Reid , Mehran Kardar

We present a general-purpose algorithm for automatic production of a structure that induces a desired Casimir-Polder force. As a demonstration of the capability and wide applicability of the method, we use it to develop a geometry that…

Quantum Physics · Physics 2024-12-03 Romuald Kilianski , Claire M. Cisowski , Robert Bennett

We present detailed calculations for the Casimir force between a plane and a nanostructured surface at finite temperature in the framework of the scattering theory. We then study numerically the effect of finite temperature as a function of…

Quantum Physics · Physics 2015-01-27 R. Guérout , J. Lussange , H. B. Chan , A. Lambrecht , S. Reynaud

The physical origin of the negative thermal correction to the Casimir force between metals is clarified. For this purpose the asymptotic behavior of the thermal Casimir force is analyzed at large and small distances in the real frequency…

Quantum Physics · Physics 2009-11-13 Vitaly B. Svetovoy

We generalize the calculation of Casimir interaction between topological insulators with opposite topological magnetoelectric polarizabilities and finite surface band gaps to finite Temperature cases. We find that finite temperature…

Other Condensed Matter · Physics 2012-03-07 Liang Chen , Shaolong Wan

In earlier papers we have applied multiple scattering techniques to calculate Casimir forces due to scalar fields between different bodies described by delta function potentials. When the coupling to the potentials became weak, closed-form…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A. Milton , Prachi Parashar , Jef Wagner

We study the repulsive-attractive transition, regarded as stable equilibrium, between gold and dielectric metamaterial based on Mie resonance immersed in various fluids due to the interplay of gravity, buoyancy and Casimir force among…

Applied Physics · Physics 2018-07-11 Yingqi Ye , Qian Hu , Qian Zhao , Yonggang Meng

It is well known that the Casimir force between two half-spaces is dictated by their electromagnetic properties. In particular, when one of the half-spaces is mainly metallic or dielectric and the other is mainly magnetic, it is possible to…

Quantum Physics · Physics 2015-05-14 F. S. S. Rosa

We calculate the Casimir force in the non-retarded limit between a spherical nanoparticle and a substrate, and we found that high-multipolar contributions are very important when the sphere is very close to the substrate. We show that the…

Quantum Physics · Physics 2007-05-23 C. E. Román-Velázquez , Cecilia Noguez , C. Villarreal , R. esquivel-Sirvent

The high-temperature aspects of the Casimir force between two neutral conducting walls are studied. The mathematical model of "inert" ideal-conductor walls, considered in the original formulations of the Casimir effect, is based on the…

Statistical Mechanics · Physics 2016-08-31 Bernard Jancovici , Ladislav Samaj

We study the Casimir effect in a system composed of two Weyl semimetals (WSMs) separated by a gap filled with a chiral medium. We calculate the optical response of the material to chiral photons in order to calculate the Casimir force. We…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 M. Belén Farias , Alexander A. Zyuzin , Thomas L. Schmidt

Pate et al. \cite{pate} investigated a macroscopic opto-mechanical system with a narrow-gap re-entrant cavity coupled to a SiN membrane resonator coated with Au or Nb. They observed a significant increase in the membrane's effective spring…

Quantum Physics · Physics 2025-11-12 Giuseppe Bimonte

Within the frame of macroscopic QED in linear, causal media, we study the radiation force of Casimir-Polder type acting on an atom which is positioned near dispersing and absorbing magnetodielectric bodies and initially prepared in an…

Quantum Physics · Physics 2016-08-16 Stefan Yoshi Buhmann , Ho Trung Dung , Ludwig Knöll , Dirk-Gunnar Welsch

In this work we present results of the long-range electromagnetic Casimir-Polder interactions between two neutrons, a neutron and a conducting wall, and a neutron between two walls. As input, we use the dynamic dipole polarizabilities of…

Nuclear Theory · Physics 2021-04-06 R. Higa , J. F. Babb

Casimir interaction between topological insulators with opposite topological magnetoelectric polarizabilities and finite surface band gaps has been investigated. For large surface band gap limit$(m\rightarrow\infty)$, we can obtain results…

Other Condensed Matter · Physics 2011-09-14 Liang Chen , Shaolong Wan

The Casimir force has been computed exactly for only a few simple geometries, such as infinite plates, cylinders, and spheres. We show that a parabolic cylinder, for which analytic solutions to the Helmholtz equation are available, is…

The vacuum expectation values of the field squared and the energy-momentum tensor are investigated for a scalar field with Dirichlet boundary conditions and for the electromagnetic field inside a wedge with a coaxial cylindrical boundary.…

High Energy Physics - Theory · Physics 2011-06-10 A. A. Saharian

In this study, we examine the role of the repulsive Casimir force in counteracting the gravitational contraction of a thin spherically symmetric shell. Our main focus is to explore the possibility of achieving a stable balanced…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Leonardo Bellinato Giacomelli , Benjamin Koch , Iva Lovrekovic , Angel Rincon

We establish a general relation between dispersion forces. First, based on QED in causal media, leading-order perturbation theory is used to express both the single-atom Casimir-Polder and the two-atom van der Waals potentials in terms of…

Quantum Physics · Physics 2007-06-12 Stefan Yoshi Buhmann , Hassan Safari , Dirk-Gunnar Welsch , Ho Trung Dung
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