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The Casimir force between two parallel uncharged closely spaced metallic plates is evaluated in ways alternatives to those usually considered in the literature. In a first approximation we take in account the suppressed quantum numbers of a…

General Physics · Physics 2009-01-08 P. R. Silva

The Casimir forces on two parallel plates in conformally flat de Sitter background due to conformally coupled massless scalar field satisfying mixed boundary conditions on the plates is investigated. In the general case of mixed boundary…

High Energy Physics - Theory · Physics 2016-09-06 M. R. Setare

We study fluctuation-induced interaction in confined fluids above the isotropic-lamellar transition. At an ideal continuous transition, the disjoining pressure has the asymptotic form $\Pi(d\to\infty)\approx -C k_BT q_0^2/d$, where $d$ is…

Soft Condensed Matter · Physics 2009-11-07 Nariya Uchida

In this paper, we consider a four-dimensional system composed of a mass-dimension-one fermionic field, also known as Elko, interacting with a real scalar field. Our main objective is to analyze the Casimir effects associated with this…

High Energy Physics - Theory · Physics 2025-12-19 A. J. D. Farias Junior , A. Smirnov , Herondy F. Santana Mota , E. R. Bezerra de Mello

Since the Maxwell theory of electromagnetic phenomena is a gauge theory, it is quite important to evaluate the zero-point energy of the quantized electromagnetic field by a careful assignment of boundary conditions on the potential and on…

High Energy Physics - Theory · Physics 2007-05-23 Giampiero Esposito , Alexander Yu. Kamenshchik , Klaus Kirsten

This chapter deals with atom-wall interaction occurring in the "long-range" regime (typical distances: 1-1000 nm), when the electromagnetic fluctuations of an isolated atom are modified by the vicinity with a surface. Various regimes of…

Atomic Physics · Physics 2007-05-23 Daniel Bloch , Martial Ducloy

In this paper we consider a quantum harmonic oscillator interacting with the electromagnetic radiation field in the presence of a boundary condition preserving the continuous spectrum of the field, such as an infinite perfectly conducting…

Quantum Physics · Physics 2012-06-21 Roberto Passante , Lucia Rizzuto , Salvatore Spagnolo , Satoshi Tanaka , Tomio Y. Petrosky

A theory is proposed for the component of the Casimir-like force that arises between bodies embedded in a macroscopic quantum damped oscillator. When the oscillator's parameters depend on the distance between the bodies, the…

Quantum Physics · Physics 2026-02-16 Yu. S. Barash

A critical look is taken at the calculation of the Casimir effect. The boundary conditions play an important role and should be imposed in a physical way. An acceptable result for the vacuum energy is only obtained when different…

High Energy Physics - Phenomenology · Physics 2007-05-23 Finn Ravndal

A simple method is proposed to construct the spectral zeta functions required for calculating the electromagnetic vacuum energy with boundary conditions given on a sphere or on an infinite cylinder. When calculating the Casimir energy in…

High Energy Physics - Theory · Physics 2008-11-26 G. Lambiase , V. V. Nesterenko , M. Bordag

Casimir interactions (due to the massless scalar field fluctuations) of two surfaces which are close to each other are studied. After a brief general presentation, explicit calculations for co-axial cylinders, co-centric spheres and…

High Energy Physics - Theory · Physics 2015-06-26 H. Ahmedov , I. H. Duru

We have studied in a previous work the quantization of a mixed bulk-boundary system describing the coupled dynamics between a bulk quantum field confined to a spacetime with finite space slice and with timelike boundary, and a boundary…

High Energy Physics - Theory · Physics 2021-03-12 Benito A. Juárez-Aubry , Ricardo Weder

We study the thermodynamic Casimir force between a spherical object and a plate. We consider the bulk universality class of the three-dimensional Ising model, which is relevant for experiments on binary mixtures. To this end, we simulate…

Statistical Mechanics · Physics 2013-02-27 Martin Hasenbusch

The interaction of compact objects with an infinitely extended mirror plane due to quantum fluctuations of a scalar or electromagnetic field that scatters off the objects is studied. The mirror plane is assumed to obey either Dirichlet or…

Statistical Mechanics · Physics 2009-11-13 Thorsten Emig

In this paper aiming to obtain the Casimir energy between a sinusoidally corrugated sphere and a plate, we first present a derivation of the sphere-plate Casimir force obtained by applying proximity force approximation (PFA). One may…

Other Condensed Matter · Physics 2014-04-08 M. R. Setare , A. Seyedzahedi

We study the leading long-distance attractive force between two holes in a plate arising from a scalar field with Dirichlet boundary conditions on the plate. We use a formalism in which the interaction is governed by a non-local field…

High Energy Physics - Theory · Physics 2010-08-06 Daniel Kabat , Dimitra Karabali , V. P. Nair

We study the Casimir interaction between a metallic cylindrical wire and a metallic spherical particle by employing the scattering formalism. At large separations, we derive the asymptotic form of the interaction. In addition, we find the…

Statistical Mechanics · Physics 2013-06-27 E. Noruzifar , P. Rodriguez-Lopez , T. Emig , R. Zandi

The vacuum (Casimir) energy in quantum field theory is a problem relevant both to new nanotechnology devices and to dark energy in cosmology. The crucial question is the dependence of the energy on the system geometry under study. Despite…

Quantum Physics · Physics 2011-02-09 L. Kaplan

We present a study of atom-wall interactions in non-relativistic quantum electrodynamics by functional integral methods. The Feynman-Kac path integral representation is generalized to the case when the particle interacts with a radiation…

Quantum Physics · Physics 2015-05-14 F. Cornu , Ph. A. Martin

In this thesis we analyze the quantum vacuum properties of non-abelian gauge theories. We calculate the energy of the quantum vacuum by non-perturbative methods using Monte Carlo simulations, focusing on the contribution of boundary effects…

High Energy Physics - Theory · Physics 2026-05-19 Fernando Ezquerro