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We calculate the Casimir interaction energy in $d=2$ spatial dimensions between two (zero-width) mirrors, one flat, and the other slightly curved, upon which {\em imperfect\/} conductor boundary conditions are imposed for an Electromagnetic…

高能物理 - 理论 · 物理学 2015-06-11 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

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…

量子物理 · 物理学 2018-05-09 Stefan Rode , Robert Bennett , Stefan Yoshi Buhmann

We extend our previous work on a derivative expansion for the Casimir energy, to the case of the electromagnetic field coupled to two thin, imperfect mirrors. The latter are described by means of vacuum polarization tensors localized on the…

高能物理 - 理论 · 物理学 2015-06-04 Cesar D. Fosco , Fernando C. Lombardo , Francisco D. Mazzitelli

We study the Casimir energy due to a quantum real scalar field coupled to two planar, infinite, zero-width, parallel mirrors with non-homogeneous properties. These properties are represented, in the model we use, by scalar functions defined…

高能物理 - 理论 · 物理学 2020-02-26 Cesar D. Fosco , Francisco D. Mazzitelli

We investigate the Casimir effect for a massless scalar field confined between two parallel semitransparent mirrors in a vacuum modified by spontaneous Lorentz symmetry breaking. Using Green's function techniques and a point-splitting…

高能物理 - 理论 · 物理学 2025-10-01 Román Linares , C. A. Escobar , A. Martín-Ruiz , E. Plácido

We calculate the Casimir energy for scalar and gauge fields in interaction with zero-width mirrors, including quantum effects due to the matter fields inside the mirrors. We consider models where those fields are either scalar or fermionic,…

高能物理 - 理论 · 物理学 2008-11-26 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

The prototypical Casimir effect arises when a scalar field is confined between parallel Dirichlet boundaries. We study corrections to this when the boundaries themselves have apertures and edges. We consider several geometries: a single…

高能物理 - 理论 · 物理学 2011-11-02 Daniel Kabat , Dimitra Karabali , V. P. Nair

The issue of electric charges in interaction with partially reflective surfaces is addressed by means of field theoretic methods. It is proposed an enlarged Maxwell lagrangian, describing the electromagnetic field in the presence of a…

高能物理 - 理论 · 物理学 2014-10-02 F. E. Barone , F. A. Barone

The Casimir force between two perfectly reflecting parallel plates is considered. In a recent paper we presented generalised physical boundary conditions describing perfectly reflecting parallel plates. These boundary conditions are…

量子物理 · 物理学 2018-03-15 Adam Stokes , Robert Bennett

We calculate the Casimir energy for scalar fields in interaction with finite-width mirrors, described by nonlocal interaction terms. These terms, which include quantum effects due to the matter fields inside the mirrors, are approximated by…

高能物理 - 理论 · 物理学 2009-11-02 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

Using functional integral methods, we study the Casimir effect for the case of two infinite parallel plates in the QED vacuum, with (different) perfect electromagnetic boundary conditions applied to both plates. To enforce these boundary…

高能物理 - 理论 · 物理学 2024-07-01 David Dudal , Aaron Gobeyn , Thomas Oosthuyse , Sebbe Stouten , David Vercauteren

We determine the commutation relations satisfied by the quantized electromagnetic field in the presence of macroscopic dielectrics and conductors, with arbitrary dispersive and dissipative properties. We consider in detail the case of two…

高能物理 - 理论 · 物理学 2015-05-13 Giuseppe Bimonte

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…

量子物理 · 物理学 2015-06-18 M. A. Braun

We study the classical electromagnetic radiation due to the presence of a dipole layer on a plane that performs a bounded motion along its normal direction, to the first non-trivial order in the amplitude of that motion. We show that the…

量子物理 · 物理学 2015-06-19 Cesar D. Fosco , Francisco D. Mazzitelli

We derive a general expression for the Casimir energy corresponding to two flat parallel mirrors in d+1 dimensions, described by nonlocal interaction potentials. For a real scalar field, the interaction with the mirrors is implemented by a…

高能物理 - 理论 · 物理学 2014-11-18 C. D. Fosco , E. Losada

The Casimir effect, which predicts the emergence of an attractive force between two parallel, highly reflecting plates in vacuum, plays a vital role in various fields of physics, from quantum field theory and cosmology to nanophotonics and…

量子物理 · 物理学 2022-03-29 Daniel Hodgson , Christopher Burgess , M. Basil Altaie , Almut Beige , Robert Purdy

We use a functional approach to evaluate the Casimir free energy for a self-interacting scalar field in $d+1$ dimensions, satisfying Dirichlet boundary conditions on two parallel planes. When the interaction is turned off, exact results for…

高能物理 - 理论 · 物理学 2008-09-16 Claudio Ccapa Ttira , Cesar D. Fosco

We use a functional approach to the Casimir effect in order to evaluate the exact vacuum energy for a real scalar field in $d+1$ dimensions, in the presence of backgrounds that, in a particular limit, impose Dirichlet boundary conditions on…

高能物理 - 理论 · 物理学 2008-11-26 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

The Casimir energy is computed in the geometry of interest for the most precise experiments, a plane and a sphere in electromagnetic vacuum. The scattering formula is developed on adapted plane-waves and multipole basis, leading to an…

量子物理 · 物理学 2008-07-31 Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

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…

量子物理 · 物理学 2008-11-26 T. Emig , R. L. Jaffe
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