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 Casimir Effect in the Curved Background and the Black Hole in Three Dimensions

1997 ◽  
Vol 12 (24) ◽  
pp. 4309-4316 ◽  
Author(s):  
Shin'ichi Nojiri
Keyword(s):  
Black Hole ◽  
Quantum Correction ◽  
Casimir Effect ◽  
Quantum Effect ◽  
Correction Term ◽  
Three Dimensional ◽  
Casimir Energy ◽  
Three Dimensions ◽  
Free Boson ◽  
Dimensional Black Hole

We consider the quantum correction to the Lagrangian by the massless free boson in the curved background in three dimensions where one of the coordinates is periodic. The correction term is given by an expansion of the metric with respect to the derivative and the first term expresses to the usual Casimir energy. As an application, we investigate the change of the geometry in three dimensional black hole due to the quantum effect and we show that the geometry becomes like that of the Reissner–Nordstrøm solution.

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.

New Hydrides of Zr-Based Intermetallic Compounds

1998 ◽  
Vol 547 ◽  
Author(s):  
I. Y. Zavaliy
Keyword(s):  
Total Energy ◽  
Crystal Lattice ◽  
Oxygen Content ◽  
Metal Matrix ◽  
Storage Capacity ◽  
Structure Type ◽  
Hydrogen Storage Capacity ◽  
Metal Metal ◽  
Metal Ratio ◽  
Matrix Stability

AbstractThe promising hydrogenation properties of oxygen-stabilised qr-phases with filled-Ti2Ni structure type in Zr-M-O systems (M - V, Cr, Mn, Fe, Co, Ni) are shown in this work. Hydrogenation capacity of the representative examples of compounds with 1:1 and 2:1 metal/metal ratio – Zr3V3O and Zr4Fe2Ox – are presented on the dependence of oxygen content in order to discuss its influence on the hydrogen storage capacity of Zr-based η-phases. The hydrogen disproportionation of η-Zr4Fe2Ox as well as oxygenless pseudobinary (Zr0.6Hf0.4)2Fe compounds with the same structure was studied. The reducing of metal matrix stability with the decrease of oxygen content is shown and explained by the increase of the total energy of crystal lattice.

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 ENERGY AND VACUA FOR SUPERCONDUCTING BALL IN SUPERGRAVITY

2002 ◽  
Vol 17 (06n07) ◽  
pp. 920-925 ◽  
Author(s):  
ALEXANDER BURINSKII
Keyword(s):  
Neutron Stars ◽  
Nuclear Matter ◽  
Field Model ◽  
Casimir Energy ◽  
Higgs Model ◽  
Finite Models ◽  
Metallic Plates

Casimir energy for solid conducting ball is considered on the base of some finite models. One model is physical and built of a battery of parallel metallic plates. Two finite models are based on the Higgs model of superconductivity. One of them is supersymmetric and based on the Witten field model for superconducting strings. Treatment shows that contribution of Casimir energy can be very essential for superdence state in the neutron stars and nuclear matter.

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.

scholarly journals Inhomogeneous Chiral and Coulomb Crystal in Neutron Stars

2017 ◽  
Vol 13 (S337) ◽  
pp. 428-429
Author(s):  
Nobutoshi Yasutake ◽  
Tong-Gyu Lee ◽  
Toshiki Maruyama ◽  
Toshitaka Tatsumi
Keyword(s):  
Surface Tension ◽  
Simple Model ◽  
Neutron Stars ◽  
Coulomb Interaction ◽  
Condensed Matter ◽  
Chiral Condensate ◽  
Spatial Modulation ◽  
Fflo State ◽  
Coulomb Crystal ◽  
Inhomogeneous Phase

AbstractWe study the possibility of two types of inhomogeneous phases in core of neutron stars: one is the Coulomb crystal, which is known as quark-hadron pasta structures, and another one is chiral crystal. In the Coulomb crystal, the inhomogeneous phase appears as the result of the balance between the surface tension and the Coulomb interaction. In chiral crystal, we study the inhomogeneous chiral condensate, which has spatial modulation. In the simple model in 1+1 dimensions, this condensate has the same feature with the FFLO state, which is well known in the condensed matter physics.

scholarly journals Casimir effect for biaxial anisotropic plates with surface conductivity

2020 ◽  
Vol 35 (03) ◽  
pp. 2040012 ◽  
Author(s):  
N. Emelianova ◽  
I. V. Fialkovsky ◽  
N. Khusnutdinov
Keyword(s):  
Dielectric Permittivity ◽  
Free Boundary ◽  
Maxwell Equations ◽  
Casimir Effect ◽  
Scattering Matrix ◽  
Casimir Energy ◽  
Surface Conductivity ◽  
Anisotropic Plates ◽  
Dielectric Permittivity Tensor ◽  
Fresnel Coefficients

The Casimir energy is constructed for a system consisting of two semi-infinite slabs of anisotropic material. Each of them is characterized by bulk complex dielectric permittivity tensor and surface conductivity on the free boundary. We found general form of the scattering matrix and Fresnel coefficients for each part of the system by solving Maxwell equations in the anisotropic media.

Sign in / Sign up

Export Citation Format

Share Document