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 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.

Electromagnetic thermal corrections to Casimir energy

2016 ◽  
Vol 31 (22) ◽  
pp. 1650127 ◽  
Author(s):  
Borzoo Nazari
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Scalar Field ◽  
Finite Temperature ◽  
Casimir Effect ◽  
Casimir Energy ◽  
Parallel Plates ◽  
Weak Gravitational Field

In [B. Nazari, Mod. Phys. Lett. A 31, 1650007 (2016)], we calculated finite temperature corrections to the energy of the Casimir effect of two conducting parallel plates in a general weak gravitational field. The calculations was done for the case a scalar field was present between the plates. Here we find the same results in the presence of an electromagnetic field.

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.

QUANTUM DYNAMICS OF TWO-LEVEL ATOMS INTERACTING WITH AN ELECTROMAGNETIC FIELD

2014 ◽  
Vol 28 (08) ◽  
pp. 1450060
Author(s):  
N. N. BOGOLUBOV ◽  
M. Yu. RASULOVA ◽  
I. A. TISHABOEV
Keyword(s):  
Electromagnetic Field ◽  
Kinetic Equation ◽  
Linear Equation ◽  
Quantum Dynamics ◽  
Cavity Field ◽  
One Dimensional ◽  
Generalized Kinetic Equation ◽  
The One ◽  
The Given ◽  
Multi Mode

We consider the dynamics of a system consisting of N two-level atoms interacting with a multi-mode cavity field. For the given system, the generalized kinetic equation (GKE) is obtained and conditions are given under which its solution is reduced to solution of a linear equation, and of the one-dimensional nonlinear Schrödinger equation, respectively.

scholarly journals RADIUS DESTABILIZATION IN FIVE-DIMENSIONAL ORBIFOLDS DUE TO AN ENHANCED CASIMIR EFFECT

2009 ◽  
Vol 24 (19) ◽  
pp. 1495-1506 ◽  
Author(s):  
R. OBOUSY ◽  
G. CLEAVER
Keyword(s):  
Vector Field ◽  
Scalar Field ◽  
Periodic Boundary ◽  
Casimir Force ◽  
Casimir Effect ◽  
Periodic Boundary Conditions ◽  
Casimir Energy ◽  
Higher Dimensional ◽  
The One

One of the challenges in connecting higher dimensional theories to cosmology is stabilization of the moduli fields. We investigate the role of a Lorentz violating vector field in the context of stabilization. Specifically, we compute the one-loop Casimir energy in Randall–Sundrum five-dimensional (non-supersymmetric) S1/ Z2 orbifolds resulting from the interaction of a real scalar field with periodic boundary conditions with a Lorentz violating vector field. We find that the result is an enhanced attractive Casimir force. Hence, for stability, positive contributions to the Casimir force from branes and additional fields would be required to counter the destabilizing, attractive effect of Lorentz violating fields.

scholarly journals Initial magnetic field distribution around high rectangular bus bars

2014 ◽  
Vol 11 (4) ◽  
pp. 523-534
Author(s):  
Grigore Cividjian
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Magnetic Fields ◽  
Analytical Solution ◽  
Exact Analytical Solution ◽  
One Dimensional ◽  
Transient Electromagnetic ◽  
The One ◽  
Two Sides ◽  
Initial Magnetic Field

The one-dimensional transient electromagnetic field in and around a system of two nonmagnetic homogenous rectangular high thin bars can be analytically evaluated if the ratio of average initial magnetic field on the two sides of thin bar, or of the ratio of initial magnetic fields in middle of the bar height is known. In this paper, using appropriate conformal mappings, an exact analytical solution for these ratios are proposed in the case of very thin bars. Obtained values are compared with FEM results for relatively thick bars.

scholarly journals CASIMIR ENERGY DENSITY IN CLOSED HYPERBOLIC UNIVERSES

2002 ◽  
Vol 17 (29) ◽  
pp. 4385-4392 ◽  
Author(s):  
DANIEL MÜLLER ◽  
HELIO V. FAGUNDES
Keyword(s):  
Electromagnetic Field ◽  
Scalar Field ◽  
Energy Density ◽  
Boundary Conditions ◽  
Negative Curvature ◽  
Casimir Effect ◽  
Casimir Energy ◽  
The Difference

The original Casimir effect results from the difference in the vacuum energies of the electromagnetic field, between that in a region of space with boundary conditions and that in the same region without boundary conditions. In this paper we develop the theory of a similar situation, involving a scalar field in spacetimes with closed spatial sections of negative curvature.

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