THEORY OF THE CASIMIR EFFECT IN ONE-DIMENSIONAL PERIODIC DIELECTRIC SYSTEMS

2009 ◽  
Vol 24 (08n09) ◽  
pp. 1789-1795 ◽  
Author(s):  
ASTRID LAMBRECHT ◽  
VALERY N. MARACHEVSKY
Keyword(s):  
Casimir Effect ◽  
Casimir Energy ◽  
One Dimensional ◽  
Exact Theory ◽  
Dielectric Gratings ◽  
Periodic Dielectrics

We derive an exact theory of the Casimir interaction between two arbitrary dielectric gratings with coinciding periods d. We then express the Casimir energy for two dielectric gratings or periodic dielectrics with coinciding periods in terms of Rayleigh coefficients.

scholarly journals On the Casimir energy of the electromagnetic field in the dispersive and absorptive medium

2014 ◽  
Vol 29 (18) ◽  
pp. 1450101
Author(s):  
M. A. Braun
Keyword(s):  
Dielectric Constant ◽  
Electromagnetic Field ◽  
Casimir Effect ◽  
Direct Interaction ◽  
Microscopic Theory ◽  
Casimir Energy ◽  
Indirect Interaction ◽  
One Dimensional ◽  
Absorptive Medium ◽  
The One

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 frequencies with the aim to see if the effects depend on the form of interaction with the reservoir. A simple case of the one-dimensional dielectric between two metallic plates is considered. Two possible models are investigated, the direct interaction of the electromagnetic field with the reservoir and indirect interaction via an intermediate oscillator imitating the atom. It is found that with the same dielectric constant the Casimir effect is different in these two cases, which implies that in the second model it cannot be entirely expressed via the dielectric constant as in the well-known Lifshitz formula.

scholarly journals Fermionic Casimir effect in Horava–Lifshitz theories

2019 ◽  
Vol 34 (20) ◽  
pp. 1950107
Author(s):  
Dêivid R. da Silva ◽  
M. B. Cruz ◽  
E. R. Bezerra de Mello
Keyword(s):  
Boundary Condition ◽  
Casimir Effect ◽  
Lorentz Symmetry ◽  
Casimir Energy ◽  
Quantum Field ◽  
Parallel Plates ◽  
Symmetry Violation ◽  
Massless Quantum

In this paper, we analyze the fermionic Casimir effects associated with a massless quantum field in the context of Lorentz symmetry violation approach based on Horava–Lifshitz methodology. In order to obtain these observables, we impose the standard MIT bag boundary condition on the fields on two large and parallel plates. Our main objectives are to investigate how the Casimir energy and pressure depend on the parameter associated with the breaking of Lorentz symmetry.

scholarly journals Heuristic derivation of Casimir effect in minimal length theories

2020 ◽  
Vol 29 (02) ◽  
pp. 2050011 ◽  
Author(s):  
Massimo Blasone ◽  
Gaetano Lambiase ◽  
Giuseppe Gaetano Luciano ◽  
Luciano Petruzziello ◽  
Fabio Scardigli
Keyword(s):  
Field Theory ◽  
Parallel Plate ◽  
Casimir Effect ◽  
Generalized Uncertainty Principle ◽  
Casimir Energy ◽  
Minimal Length ◽  
Quadratic Term ◽  
Quantum Field ◽  
The One ◽  
Plate Geometry

We propose a heuristic derivation of Casimir effect in the context of minimal length theories based on a Generalized Uncertainty Principle (GUP). By considering a GUP with only a quadratic term in the momentum, we compute corrections to the standard formula of Casimir energy for the parallel-plate geometry, the sphere and the cylindrical shell. For the first configuration, we show that our result is consistent with the one obtained via more rigorous calculations in Quantum Field Theory (QFT). Experimental developments are finally discussed.

scholarly journals NEW CONSTRAINTS ON YUKAWA-TYPE INTERACTIONS FROM THE CASIMIR EFFECT

2012 ◽  
Vol 14 ◽  
pp. 200-214
Author(s):  
V. M. MOSTEPANENKO ◽  
V. B. BEZERRA ◽  
G. L. KLIMCHITSKAYA ◽  
C. ROMERO
Keyword(s):  
Standard Model ◽  
Casimir Force ◽  
Casimir Effect ◽  
Beyond The Standard Model ◽  
Exact Theory ◽  
The Standard Model

Measurements of the Casimir force are used to obtain stronger constraints on the parameters of hypothetical interactions predicted in different unification schemes beyond the Standard Model. We review new strong constraints on the Yukawa-type interactions derived during the last two years from recent experiments on measuring the lateral Casimir force, Casimir force in configurations with corrugated boundaries and the Casimir-Polder force. Specifically, from measurements of the lateral Casimir force compared with the exact theory the strengthening of constraints up to a factor of 24 millions was achieved. We also discuss further possibilities to strengthen constraints on the Yukawa interactions from the Casimir effect.

Quantum fluctuations and the Casimir effect

2020 ◽  
Vol 29 (08) ◽  
pp. 2050059 ◽  
Author(s):  
Daniel Chemisana ◽  
Jaume Giné ◽  
Jaime Madrid
Keyword(s):  
Spherical Shell ◽  
Uncertainty Principle ◽  
Casimir Effect ◽  
Quantum Fluctuations ◽  
Casimir Energy ◽  
Effective Radius ◽  
Vacuum Fluctuations ◽  
Effective Distance ◽  
Observable Consequence

The most important observable consequence of the vacuum fluctuations is the Casimir effect. Its classical manifestation is a force between two uncharged conductive plates placed a few nanometers apart. In this work, we improve the deduction of the Casimir effect from the uncertainty principle by using an effective radius for the quantum fluctuations. Moreover, the existence of this effective distance is discussed. Finally, a heuristic derivation of the Casimir energy for a spherical shell and a sphere-plate cases is given.

scholarly journals Casimir effect in a one-dimensional gas of free fermions

2008 ◽  
Vol 78 (2) ◽  
Author(s):  
Eugene B. Kolomeisky ◽  
Joseph P. Straley ◽  
Michael Timmins
Keyword(s):  
Casimir Effect ◽  
Free Fermions ◽  
One Dimensional

scholarly journals NEUTRON STARS AND THE FERMIONIC CASIMIR EFFECT

2002 ◽  
Vol 17 (06n07) ◽  
pp. 1059-1064 ◽  
Author(s):  
PIOTR MAGIERSKI ◽  
AUREL BULGAC ◽  
PAUL-HENRI HEENEN
Keyword(s):  
Total Energy ◽  
Neutron Stars ◽  
Crystal Lattice ◽  
Coulomb Interaction ◽  
Quantum Correction ◽  
Casimir Effect ◽  
Casimir Energy ◽  
Large Influence

The inner crust of neutron stars consists of nuclei of various shapes immersed in a neutron gas and stabilized by the Coulomb interaction in the form of a crystal lattice. The scattering of neutrons on nuclear inhomegeneities leads to the quantum correction to the total energy of the system. This correction resemble the Casimir energy and turn out to have a large influence on the structure of the crust.

scholarly journals The Casimir effect for thick pistons

2016 ◽  
Vol 31 (06) ◽  
pp. 1650012
Author(s):  
Guglielmo Fucci
Keyword(s):  
Boundary Conditions ◽  
Zeta Function ◽  
Regularization Method ◽  
Casimir Force ◽  
Casimir Effect ◽  
Casimir Energy ◽  
Numerical Results ◽  
Spectral Zeta Function

In this work, we analyze the Casimir energy and force for a thick piston configuration. This study is performed by utilizing the spectral zeta function regularization method. The results we obtain for the Casimir energy and force depend explicitly on the parameters that describe the general self-adjoint boundary conditions imposed. Numerical results for the Casimir force are provided for specific types of boundary conditions and are also compared to the corresponding force on an infinitely thin piston.

scholarly journals Tunable dark modes in one-dimensional “diatomic” dielectric gratings

2015 ◽  
Vol 23 (10) ◽  
pp. 12478 ◽  
Author(s):  
Bo Zeng ◽  
Arka Majumdar ◽  
Feng Wang
Keyword(s):  
One Dimensional ◽  
Dielectric Gratings
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