scholarly journals Induced vacuum current and magnetic field in the background of a vortex

2016 ◽  
Vol 31 (06) ◽  
pp. 1650017 ◽  
Author(s):  
Volodymyr M. Gorkavenko ◽  
Iryna V. Ivanchenko ◽  
Yurii A. Sitenko
Keyword(s):  
Magnetic Field ◽  
Side Surface ◽  
Matter Field ◽  
Transverse Size ◽  
Compton Wavelength ◽  
Charged Scalar ◽  
Quantum Matter ◽  
Scalar Matter ◽  
Bohm Effect ◽  
Aharonov Bohm

A topological defect in the form of the Abrikosov–Nielsen–Olesen vortex is considered as a gauge-flux-carrying tube that is impenetrable for quantum matter. Charged scalar matter field is quantized in the vortex background with the perfectly reflecting (Dirichlet) boundary condition imposed at the side surface of the vortex. We show that a current circulating around the vortex and a magnetic field directed along the vortex are induced in the vacuum, if the Compton wavelength of the matter field exceeds considerably the transverse size of the vortex. The vacuum current and magnetic field are periodic in the value of the gauge flux of the vortex, providing a quantum-field-theoretical manifestation of the Aharonov–Bohm effect. The total flux of the induced vacuum magnetic field attains notable finite values even for the Compton wavelength of the matter field exceeding the transverse size of the vortex by just three orders of magnitude.

scholarly journals The Casimir effect with quantized charged scalar matter in background magnetic field

2014 ◽  
Vol 29 (09) ◽  
pp. 1450052 ◽  
Author(s):  
Yu. A. Sitenko ◽  
S. A. Yushchenko
Keyword(s):  
Magnetic Field ◽  
Boundary Condition ◽  
Boundary Conditions ◽  
Casimir Force ◽  
Matter Field ◽  
Particle Energy ◽  
Parallel Plates ◽  
Charged Scalar ◽  
Scalar Matter ◽  
Background Magnetic Field

We study the influence of a background uniform magnetic field and boundary conditions on the vacuum of a quantized charged massive scalar matter field confined between two parallel plates; the magnetic field is directed orthogonally to the plates. The admissible set of boundary conditions at the plates is determined by the requirement that the operator of one-particle energy squared be self-adjoint and positive-definite. We show that, in the case of a weak magnetic field and a small separation of the plates, the Casimir force is either attractive or repulsive, depending on the choice of a boundary condition. In the case of a strong magnetic field and a large separation of the plates, the Casimir force is repulsive, being independent of the choice of a boundary condition, as well as of the distance between the plates.

scholarly journals A general method for deriving vector potentials produced by knotted solenoids

2014 ◽  
Vol 29 (35) ◽  
pp. 1450189
Author(s):  
V. V. Sreedhar
Keyword(s):  
Magnetic Field ◽  
Charged Particles ◽  
Vector Potentials ◽  
Bohm Effect ◽  
Figure Eight Knot ◽  
Aharonov Bohm ◽  
The Magnetic Field ◽  
General Method

A general method for deriving exact expressions for vector potentials produced by arbitrarily knotted solenoids is presented. It consists of using simple physics ideas from magnetostatics to evaluate the magnetic field in a surrogate problem. The latter is obtained by modeling the knot with wire segments carrying steady currents on a cubical lattice. The expressions for a 31 (trefoil) and a 41 (figure-eight) knot are explicitly worked out. The results are of some importance in the study of the Aharonov–Bohm effect generalized to a situation in which charged particles moving through force-free regions are scattered by fluxes confined to the interior of knotted impenetrable tubes.

Aharonov-Bohm effect under high magnetic field in a Corbino disk anti-dot channel

1992 ◽  
Vol 263 (1-3) ◽  
pp. 392-395 ◽  
Author(s):  
Kotaro Tsubaki ◽  
Takashi Honda ◽  
Yasuhiro Tokura
Keyword(s):  
Magnetic Field ◽  
High Magnetic Field ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Corbino Disk

scholarly journals Generalized KG-oscillator with a uniform magnetic field under the influence of Coulomb-type potentials in cosmic string space-time and Aharonov-Bohm effect

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Magnetic Field ◽  
Cosmic String ◽  
Uniform Magnetic Field ◽  
Bound States ◽  
Space Time ◽  
Vector Potentials ◽  
Klein Gordon ◽  
Relativistic Analogue ◽  
Bohm Effect ◽  
Aharonov Bohm

We solve a generalized Klein-Gordon oscillator (KGO) in the presence of a uniform magnetic field including quantum flux under the effects of a scalar and vector potentials of Coulomb-types in the static cosmic string space-time. We obtain the energy and corresponding eigenfunctions, and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states.

Two-state magnetic field Aharonov–Bohm effect and the wave–particle duality in a Mach–Zehnder interferometer

2017 ◽  
Vol 15 (05) ◽  
pp. 1750032 ◽  
Author(s):  
M. Bendahane ◽  
M. El Atiki ◽  
A. Kassou-Ou-Ali
Keyword(s):  
Magnetic Field ◽  
Zehnder Interferometer ◽  
Experimental Scheme ◽  
Wave Particle Duality ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Mach Zehnder Interferometer

In this work, we study the wave particle duality and the Aharonov–Bohm effect in a Mach–Zehnder interferometer in a magnetic field which is in a superposition of two opposite directions. In addition, a “classical” experimental scheme is proposed which mimics such an interferometer.

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