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We present a quantum theory of Casimir forces between perfect electrical conductors, based on quantum electrodynamics and quantum statistical physics. This theory utilizes Kapusta's finite-temperature field theory, combined with the…

Statistical Mechanics · Physics 2025-11-14 P. E. Brandyshev , Yu. A. Budkov

Recent progress in the simulation of Casimir forces between various objects has allowed traditional computational electromagnetic solvers to be used to find Casimir forces in arbitrary three-dimensional objects. The underlying theory to…

Quantum Physics · Physics 2013-05-07 Phillip R Atkins , Weng Cho Chew , Qi I. Dai , Wei E. I. Sha

The Casimir force caused by the electromagnetic fluctuations is computed in the configurations of micro- and nanoelectromechanical pressuresensors using Si membranes and either Si or Au-coated Si substrates. It is shown that if, under the…

Mesoscale and Nanoscale Physics · Physics 2024-08-13 G. L. Klimchitskaya , A. S. Korotkov , V. V. Loboda , V. M. Mostepanenko

The difference of the thermal Casimir forces at different temperatures between real metals is shown to increase with a decrease of the separation distance. This opens new opportunities for the demonstration of the thermal dependence of the…

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

The dependence of the Casimir force on material properties is important for both future applications and to gain further insight on its fundamental aspects. Here we derive a general theory of the Casimir force for low-conducting compounds,…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. G. Galkina , B. A. Ivanov , Sergey E. Savel'ev , V. A. Yampol'skii , Franco Nori

In this paper the Casimir energy of two parallel plates made by materials of different penetration depth and no medium in between is derived. We study the Casimir force density and derive analytical constraints on the two penetration depths…

High Energy Physics - Theory · Physics 2014-11-21 Luigi Rosa , Astrid Lambrecht

We want to study the Casimir effect for a single conducting microscopic cylindrical cavity. The mathematical technique is based on the Green function of the geometry of the inside of the cavity, and the integral regularization is based on…

Quantum Physics · Physics 2016-01-28 H. Razmi , S. M. Shirazi

The Casimir force is a spectacular consequence of the existence of vacuum fluctuations and thus deserves a place in courses on quantum theory. We argue that the scattering approach within a one-dimensional field theory is well suited to…

Quantum Physics · Physics 2015-01-28 Gert-Ludwig Ingold , Astrid Lambrecht

We discuss a proposal to measure the Casimir force in the parallel plate configuration in the $1-10\mu$m range via a high-sensitivity torsional balance. This will allow to measure the thermal contribution to the Casimir force therefore…

Quantum Physics · Physics 2007-05-23 A. Lambrecht , V. V. Nesvizhevsky , R. Onofrio , S. Reynaud

The lateral Casimir force, which arises between aligned sinusoidally corrugated surfaces of a sphere and a plate, was measured for the case of a small corrugation period beyond the applicability region of the proximity force approximation.…

Quantum Physics · Physics 2010-03-15 H. -C. Chiu , G. L. Klimchitskaya , V. N. Marachevsky , V. M. Mostepanenko , U. Mohideen

We calculate the dependence of the Casimir force on the isotopic composition of the interacting objects. This dependence arises from the subtle influence of the nuclear masses on the electronic properties of the bodies. We discuss the…

Quantum Physics · Physics 2009-11-07 Dennis E. Krause , Ephraim Fischbach

We calculate the Casimir forces in two configurations, namely, three parallel dielectric slabs and a dielectric slab between two perfectly conducting plates, where the dielectric materials are dispersive and inhomogeneous in the direction…

High Energy Physics - Theory · Physics 2019-06-19 Yang Li , Kimball A. Milton , Xin Guo , Gerard Kennedy , Stephen A. Fulling

Our preceding paper introduced a method to compute Casimir forces in arbitrary geometries and for arbitrary materials that was based on a finite-difference time-domain (FDTD) scheme. In this manuscript, we focus on the efficient…

The scattering theory approach makes it possible to carry out exact calculations of Casimir energies in any geometry for which the scattering T-matrix and a partial wave expansion of the free Green's function are available. We implement…

Quantum Physics · Physics 2013-05-14 Noah Graham

We investigate the Casimir effect at finite temperature in electromagnetic Rindler space, and find the Casimir energy is proportional to $\frac{T^4}{d^2}$ in the high temperature limit, where $T\approx 27 ^\circ\mathrm{C}$ is the…

Optics · Physics 2015-05-30 Tian-Ming Zhao , Rong-Xin Miao

Among the various kinds of effective forces in soft matter, the spatial range and the direction of the so-called critical Casimir force - which is generated by the enhanced thermal fluctuations close to a continuous phase transition - can…

Soft Condensed Matter · Physics 2011-02-14 Andrea Gambassi , S. Dietrich

Casimir effect is the attractive force which acts between two plane parallel, closely spaced, uncharged, metallic plates in vacuum. This phenomenon was predicted theoretically in 1948 and reliably investigated experimentally only in recent…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , V. M. Mostepanenko

We propose a new Monte-Carlo method for calculation of the Casimir forces. Our method is based on the formalism of noncompact lattice quantum electrodynamics. This approach has been tested in the simplest case of two ideal conducting…

Quantum Physics · Physics 2011-06-28 Oleg Pavlovsky , Maxim Ulybyshev

We discuss repulsive Casimir forces between dielectric materials with non trivial magnetic susceptibility. It is shown that considerations based on naive pair-wise summation of Van der Waals and Casimir Polder forces may not only give an…

Quantum Physics · Physics 2009-11-07 O. Kenneth , I. Klich , A. Mann , M. Revzen

A recent experiment [J.L. Garrett et al., Phys. Rev. Lett {\bf 120}, 040401 (2018)] measured for the first time the gradient of the Casimir force between two gold spheres at room temperature. The theoretical analysis of the data was carried…

Quantum Physics · Physics 2018-04-16 Giuseppe Bimonte
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