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The Casimir effect is a quantum phenomenon induced by the zero-point energy of relativistic fields confined in a finite-size system. This effect for photon fields has been studied for a long time, while the realization of counterparts for…

Mesoscale and Nanoscale Physics · Physics 2023-06-22 Katsumasa Nakayama , Kei Suzuki

The Jordan-Wigner transformation connects spin operators in one-dimensional spin systems and fermionic operators. In this work, we elucidate the relationship between the finite-size corrections in the spin representation and the fermionic…

Statistical Mechanics · Physics 2026-01-28 Katsumasa Nakayama , Kei Suzuki

It has been argued since 1948, when it was experimentally demonstrated, that the Casimir effect-where two non-charged conducting plates have a weak but measurable force on each other dependent on the inverse fourth power of the distance…

General Physics · Physics 2022-06-13 Gerald E. Marsh

Charged massive matter fields of spin 0 and 1/2 are quantized in the presence of an external uniform magnetic field in a spatial region bounded by two parallel plates. The most general set of boundary conditions at the plates, that is…

High Energy Physics - Theory · Physics 2015-08-31 Yu. A. Sitenko

The primary focus of this dissertation is the study of the Casimir effect and the possibility that this phenomenon may serve as a mechanism to mediate higher dimensional stability, and also as a possible mechanism for creating a small but…

General Relativity and Quantum Cosmology · Physics 2009-01-26 Richard K. Obousy

Whether intentionally introduced to exert control over particles and macroscopic objects, such as for trapping or cooling, or whether arising from the quantum and thermal fluctuations of charges in otherwise neutral bodies, leading to…

We study the Casimir interaction in the plane-sphere geometry in the classical limit of high temperatures. In this limit, the finite conductivity of the metallic plates needs to be taken into account. For the Drude model, the classical…

Using ensembles of two, three and four spheres immersed in a fermionic background we evaluate the (integrated) density of states and the Casimir energy. We thus infer that for sufficiently smooth objects, whose various geometric…

Nuclear Theory · Physics 2007-05-23 Aurel Bulgac , Andreas Wirzba

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

Within the trln-formalism we investigate the vacuum interaction of cosmic strings and the influence of strings width on this effect. For the massless real scalar field we compute the Casimir contribution into the total vacuum energy. The…

High Energy Physics - Theory · Physics 2023-08-16 Yuri V. Grats , Pavel Spirin

The Casimir-Polder interaction between an atom and a metal wall is investigated under the influence of real conditions including the dynamic polarizability of the atom, finite conductivity of the wall metal and nonzero temperature of the…

Quantum Physics · Physics 2007-05-23 J. F. Babb , G. L. Klimchitskaya , V. M. Mostepanenko

Casimir-Polder interactions are considered in an inhomogeneous, dispersive background. We consider both the interaction between a polarizable atom and a perfectly conducting wall, and between such an atom and a plane interface between two…

Quantum Physics · Physics 2019-03-19 Kimball A. Milton

We study a massless Dirac field subjected to two alternative boundary conditions on two parallel thin walls, in d + 1 dimensions. The two configurations correspond to the system being even or odd under reflection about the midplane between…

High Energy Physics - Theory · Physics 2026-05-19 Aitor Fernández , César D. Fosco

We study the Casimir interaction energy due to the vacuum fluctuations of the Electromagnetic (EM) field in the presence of two mirrors, described by $2+1$-dimensional, generally nonlocal actions, which may contain both parity-conserving…

High Energy Physics - Theory · Physics 2017-04-05 C. D. Fosco , M. L. Remaggi

We investigate the dispersive Casimir-Polder interaction between a Rubidium atom and a suspended graphene sheet subjected to an external magnetic field B. We demonstrate that this concrete physical system allows for an unprecedented control…

Quantum Physics · Physics 2015-05-12 T. Cysne , W. J. M. Kort-Kamp , D. Oliver , F. A. Pinheiro , F. S. S. Rosa , C. Farina

In this paper the quantum vacuum energies induced by massive fluctuations of one real scalar field on a configuration of two partially transparent plates are analysed. The physical properties of the infinitely thin plates are characterized…

High Energy Physics - Theory · Physics 2013-06-17 Jose M. Munoz-Castaneda , J. Mateos Guilarte , A. Moreno Mosquera

In this article we compute the Casimir force between two finite-width mirrors at finite temperature, working in a simplified model in 1+1 dimensions. The mirrors, considered as dissipative media, are modeled by a continuous set of harmonic…

Quantum Physics · Physics 2015-05-30 Fernando C. Lombardo , Francisco D. Mazzitelli , Adrian E. Rubio Lopez

We consider the Casimir interaction energy between a plane and a sphere of radius $R$ at finite temperature $T$ as a function of the distance of closest approach $L$. Typical experimental conditions are such that the thermal wavelength…

Quantum Physics · Physics 2021-05-11 Vinicius Henning , Benjamin Spreng , Paulo A. Maia Neto , Gert-Ludwig Ingold

We consider the thermal Casimir effect in ideal Bose gases, where the dispersion relation involves both terms quadratic and quartic in momentum. We demonstrate that if macroscopic objects are immersed in such a fluid in spatial…

Statistical Mechanics · Physics 2023-07-19 Marcin Pruszczyk , Paweł Jakubczyk

We consider the high temperature limit of the Casimir interaction between a Dirichlet sphere and a Dirichlet plate due to the vacuum fluctuations of a scalar field in $(D+1)$-dimensional Minkowski spacetime. The high temperature leading…

High Energy Physics - Theory · Physics 2015-06-19 L. P. Teo
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