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We investigate the thermodynamical aspects of the Casimir effect in the case of plane parallel plates made of real metals. The thermal corrections to the Casimir force between real metals were recently computed by several authors using…

Quantum Physics · Physics 2009-11-07 V. B. Bezerra , G. L. Klimchitskaya , V. M. Mostepanenko

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 calculate the Casimir energy of a massless scalar field confined between two nearby parallel plates formed by ideal uncharged conductors, placed tangentially to the surface of a sphere with mass M and radius R. To this end, we take into…

High Energy Physics - Theory · Physics 2015-05-06 C. R. Muniz , V. B. Bezerra , M. S. Cunha

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

Quantum vacuum energy has been known to have observable consequences since 1948 when Casimir calculated the force of attraction between parallel uncharged plates, a phenomenon confirmed experimentally with ever increasing precision. Casimir…

High Energy Physics - Theory · Physics 2009-11-07 Kimball A. Milton

Recently Yampol'skii et al. [Phys. Rev. A v.82, 032511 (2010)] advocated that Lifshitz theory is not applicable when the characteristic wavelength of the fluctuating electromagnetic field, responsible for the thermal correction to the…

Quantum Physics · Physics 2015-05-20 G. Bimonte , G. L. Klimchitskaya , V. M. Mostepanenko

In this work I study the Casimir effect caused by a charged and massive scalar field that violates Lorentz symmetry in an aether-like and CPT even manner, by direct coupling between the field derivatives and two fixed orthogonal unit…

High Energy Physics - Theory · Physics 2025-01-07 Andrea Erdas

Casimir and Casimir-Polder repulsion have been known for more than 50 years. The general "Lifshitz" configuration of parallel semi-infinite dielectric slabs permits repulsion if they are separated by a dielectric fluid that has a value of…

High Energy Physics - Theory · Physics 2018-03-09 Kimball A. Milton , E. K. Abalo , Prachi Parashar , Nima Pourtolami , Iver Brevik , Simen A. Ellingsen

The Casimir-Polder force acting on atoms and nanoparticles spaced at large separations from real graphene sheet possessing some energy gap and chemical potential is investigated in the framework of the Lifshitz theory. The reflection…

Quantum Physics · Physics 2023-08-08 Galina L. Klimchitskaya , Vladimir M. Mostepanenko

A path-integral approach to the quantization of the electromagnetic field in a linearly amplifying magnetodielectric medium is presented. Two continua of inverted harmonic oscillators are used to describe the polarizability and…

Quantum Physics · Physics 2015-03-19 Ehsan Amooghorban , Martijn Wubs , N. Asger Mortensen , Fardin Kheirandish

We investigate the Casimir effect as a probe of Lorentz symmetry violation for a real scalar field confined to a rectangular waveguide with Dirichlet boundary conditions. The field dynamics is governed by a Lorentz-violating extension of…

High Energy Physics - Theory · Physics 2026-03-10 M. B. Cruz , E. R. Bezerra de Mello , A. Martín-Ruiz

Several physical phenomena in superconductors, such as helical superconductivity and the diode effect, rely on breaking time-reversal symmetry. This symmetry-breaking is usually accounted for via the Lifshitz invariant, a contribution to…

Superconductivity · Physics 2026-05-25 Aaron Dunbrack , Pauli Virtanen , Tero T. Heikkilä

Casimir forces are conventionally computed by analyzing the effects of boundary conditions on a fluctuating quantum field. Although this analysis provides a clean and calculationally tractable idealization, it does not always accurately…

High Energy Physics - Theory · Physics 2008-11-26 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , O. Schroeder , H. Weigel

A new model for calculating the Casimir-Lifshitz force per unit length for two dielectric rods is proposed, based on the Green function method of classical electrodynamics and the Lorentz model for permittivity.

Classical Physics · Physics 2021-02-16 Michael V. Davidovich

In this article, we obtain the explicit expression of the Casimir energy for 2-dimensional Clifford-Klein space forms in terms of the geometrical data of the underlying spacetime with the help of zeta-regularization techniques. The…

Spectral Theory · Mathematics 2024-10-24 Ksenia Fedosova , Julie Rowlett , Genkai Zhang

The properties of fluctuation induced interactions like van der Waals and Casimir-Lifshitz forces are of interest in a plethora of fields ranging from biophysics to nanotechnology. Here we describe a general approach to compute these…

Statistical Mechanics · Physics 2010-05-25 Thorsten Emig

The impedance boundary condition is used to calculate the Casimir force in configurations of two parallel plates and a shpere (spherical lens) above a plate at both zero and nonzero temperature. The impedance approach allows one to find the…

Quantum Physics · Physics 2009-11-07 V. B. Bezerra , G. L. Klimchitskaya , C. Romero

Casimir effect in most general terms may be understood as a backreaction of a quantum system causing an adiabatic change of the external conditions under which it is placed. This paper is the second installment of a work scrutinizing this…

High Energy Physics - Theory · Physics 2009-11-11 Andrzej Herdegen

The derivation of Casimir forces between dielectrics can be simplified by ignoring absorption, calculating energy changes due to displacements of the dielectrics, and only then admitting absorption by allowing permittivities to be complex.…

Quantum Physics · Physics 2010-04-06 F. S. S. Rosa , D. A. R. Dalvit , P. W. Milonni

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
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