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The physical origin of the Casimir force is connected with the existence of zero-point and thermal fluctuations. The Casimir effect is very general and finds applications in various fields of physics. This review is limited to the rapid…

Other Condensed Matter · Physics 2014-11-18 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

We discuss the Casimir effect for boundary conditions involving perfect electromagnetic conductors (PEMCs). Based on the corresponding reciprocal Green's tensor we construct the Green's tensor for two perfectly reflecting plates with…

Quantum Physics · Physics 2018-05-09 Stefan Rode , Robert Bennett , Stefan Yoshi Buhmann

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

We demonstrate quantum levitation controlled by Casimir forces acting between a polystyrene surface and a Teflon-coated metallic substrate immersed in a mixture of Toluene and magnetite particles. This system experiences…

Quantum Physics · Physics 2026-01-05 Long Ma , Larissa Inácio , Dai-Nam Le , Lilia M. Woods , Mathias Boström

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

Theory of the Casimir effect is presented in several examples. Casimir - Polder type formulas, Lifshitz theory and theory of the Casimir effect for two gratings separated by a vacuum slit are derived. Equations for the electromagnetic field…

Quantum Physics · Physics 2015-06-12 Valery N. Marachevsky

We exploit fluctuational electrodynamics to present trace expressions for the torque experienced by arbitrary objects in a passive, nonabsorbing, rotationally invariant background environment. We present trace expressions for equilibrium…

Optics · Physics 2023-10-31 Benjamin Strekha , Matthias Krüger , Alejandro W. Rodriguez

The microscopic theory of the Casimir effect in the dielectric is studied in the framework when absorption is realized via a reservoir modeled by a set of oscillators with continuously distributed frquencies with the aim to see if the…

Quantum Physics · Physics 2015-06-18 M. A. Braun

Casimir forces are of fundamental interest because they originate from quantum fluctuations of the electromagnetic field. Apart from controlling the Casimir force via the optical properties of the materials, a number of novel geometries…

Quantum Physics · Physics 2017-01-11 L. Tang , M. Wang , C. Y. Ng , M. Nikolic , C. T. Chan , A. W. Rodriguez , H. B. Chan

We discuss materials which owe their stability to external fields. These include: 1) external electric or magnetic fields, and 2) quantum vacuum fluctuations in these fields induced by suitable boundary conditions (the Casimir effect).…

General Physics · Physics 2014-07-18 John Swain , Allan Widom , Yogendra Srivastava

Zero-point fluctuations in quantum fields give rise to observable forces between material bodies, the so-called Casimir forces. In these lectures I present the theory of the Casimir effect, primarily formulated in terms of Green's…

High Energy Physics - Theory · Physics 2007-05-23 Kimball A. Milton

We present a method of computing Casimir forces for arbitrary geometries, with any desired accuracy, that can directly exploit the efficiency of standard numerical-electromagnetism techniques. Using the simplest possible finite-difference…

We present theoretical description of the Casimir interaction in graphene systems which is based on the Lifshitz theory of dispersion forces and the formalism of the polarization tensor in (2+1)-dimensional space-time. The representation…

Quantum Physics · Physics 2016-04-13 G. L. Klimchitskaya

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

The Casimir-Lifhitz force acts between neutral material bodies and is due to the fluctuations (around zero) of the electrical polarizations of the bodies. This force is a macroscopic manifestation of the van der Waals forces between atoms…

Quantum Physics · Physics 2022-01-28 Iver Brevik , Boris Shapiro

We argue that the exactly computable, angle dependent, Casimir force between parallel plates with different directions of conductivity can be measured.

High Energy Physics - Theory · Physics 2009-12-31 O. Kenneth , S. Nussinov

We investigate how the dynamical Casimir effect can entangle quantum systems in different coupling regimes of circuit quantum electrodynamics, and show the robustness of such entanglement generation against dissipative effects with current…

Quantum Physics · Physics 2016-06-20 D. Z. Rossatto , S. Felicetti , H. Eneriz , E. Rico , M. Sanz , E. Solano

The Van Kampen method is used to calculate the Casimir force for two dielectric layers. Several terms of Lorentz oscillators are used in the permittivity model. A conductive dielectric (metal) with the Drude model is considered as a special…

Quantum Physics · Physics 2025-08-04 Michael Davidovich

The influence of the superconducting transition on the Casimir effect remains experimentally elusive. We propose a novel approach to address this challenge, exploiting the first-order superconducting transition induced in a thick film by a…

Quantum Physics · Physics 2025-05-12 Giuseppe Bimonte

We consider the Casimir effect of a massive vector field between two semi-infinite dielectric slabs. We first derive the generalization of the Lifshitz formula that gives the Casimir interaction energy of two magnetodielectric slabs…

Quantum Physics · Physics 2015-06-05 L. P. Teo