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.

Casimir effect and the uncertainty principle

2018 ◽  
Vol 33 (24) ◽  
pp. 1850140 ◽  
Author(s):  
Jaume Giné
Keyword(s):  
Uncertainty Principle ◽  
Casimir Effect ◽  
Vacuum Fluctuations

The Casimir effect is one of the observable consequences of the vacuum fluctuations. The Casimir effect manifests itself as a force between two uncharged conductive plates in a vacuum placed a few nanometers apart. In this work, we try to deduce the Casimir effect directly from the uncertainty principle.

Quantum fluctuations and the double-slit experiment

2019 ◽  
Vol 34 (18) ◽  
pp. 1950139 ◽  
Author(s):  
Jaume Giné
Keyword(s):  
Quantum Mechanics ◽  
Uncertainty Principle ◽  
Quantum Fluctuations ◽  
Vacuum Fluctuations ◽  
Wave Particle Duality ◽  
Double Slit Experiment ◽  
Slit Experiment ◽  
Double Slit

The double-slit experiment is a demonstration of wave-particle duality and one of the most fundamental experiments that help us understand the nature of quantum mechanics. In this work, we give a new explanation of this experiment in terms of the uncertainty principle and vacuum fluctuations. This explanation allows one to understand why the electron interferes with itself when being shot through the double-slit.

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 Casimir effect for a spherical shell in de Sitter space

2001 ◽  
Vol 18 (12) ◽  
pp. 2331-2338 ◽  
Author(s):  
M R Setare ◽  
R Mansouri
Keyword(s):  
Spherical Shell ◽  
Casimir Effect ◽  
De Sitter Space ◽  
De Sitter

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 Vacuum Fluctuations as a Source of Adiabatic Perturbations in Power-Law Inflationary Cosmology

1997 ◽  
Vol 12 (09) ◽  
pp. 647-652 ◽  
Author(s):  
M. Mijić
Keyword(s):  
Power Law ◽  
Quantum Fluctuations ◽  
Inflationary Cosmology ◽  
Vacuum Fluctuations ◽  
Subsequent Evolution ◽  
Density Perturbations ◽  
Inflationary Models

An analysis of the decoherence of quantum fluctuations shows that production of classical adiabatic density perturbations may not take place in models of power-law inflation, a(t)~tp, with 1<p≤ 3. Some consequences for models of extended inflation are pointed out. In general, the condition for decoherence places new constraint on inflationary models, which does not depend on often complicated subsequent evolution.

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 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.

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