Two-dimensional Duffin–Kemmer–Petiau oscillator under an external magnetic field

The eigensolutions of massive spin-0 and spin-1 particles of a Dirac oscillator in an external magnetic field, both in the commutative and noncommutative space, are found by using the Duffin–Kemmer–Petiau equation. The solutions in both cases are obtained using the parametric generalization of the Nikiforov–Uvarov method.

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The thermal properties of a two-dimensional Dirac oscillator under an external magnetic field

The European Physical Journal Plus ◽

10.1140/epjp/i2013-13124-y ◽

2013 ◽

Vol 128 (10) ◽

Cited By ~ 53

Author(s):

Abdelmalek Boumali ◽

Hassan Hassanabadi

Keyword(s):

Magnetic Field ◽

Thermal Properties ◽

External Magnetic Field ◽

Two Dimensional ◽

Dirac Oscillator

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Statistical properties of the q-deformed relativistic Dirac oscillator in minimal length quantum mechanics

Canadian Journal of Physics ◽

10.1139/cjp-2016-0875 ◽

2018 ◽

Vol 96 (1) ◽

pp. 25-29 ◽

Cited By ~ 7

Author(s):

S. Sargolzaeipor ◽

H. Hassanabadi ◽

W.S. Chung

Keyword(s):

Magnetic Field ◽

Quantum Mechanics ◽

External Magnetic Field ◽

Relativistic Quantum ◽

Two Dimensions ◽

Minimal Length ◽

Statistical Properties ◽

Relativistic Quantum Mechanics ◽

Two Dimensional ◽

Dirac Oscillator

In this article, we introduce a two-dimensional Dirac oscillator in the presence of an external magnetic field in terms of q-deformed creation and annihilation operators in the framework of relativistic quantum mechanics with minimal length. We discuss the eigenvalues of q-deformed Dirac oscillator in two dimensions and report the statistical quantities of the system for a small real q.

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NONCOMMUTATIVE GRAPHENE

International Journal of Modern Physics A ◽

10.1142/s0217751x13500644 ◽

2013 ◽

Vol 28 (16) ◽

pp. 1350064 ◽

Cited By ~ 20

Author(s):

CATARINA BASTOS ◽

ORFEU BERTOLAMI ◽

NUNO COSTA DIAS ◽

JOÃO NUNO PRATA

Keyword(s):

Magnetic Field ◽

External Magnetic Field ◽

Dirac Equation ◽

Energy Levels ◽

Dirac Fermions ◽

Two Dimensional ◽

Dirac System ◽

Noncommutative Parameter

We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated in the presence of an external magnetic field. We argue that, being a two-dimensional Dirac system, graphene is particularly interesting to test noncommutativity. We find that momentum noncommutativity affects the energy levels of graphene and we obtain a bound for the momentum noncommutative parameter.

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Flow Visualization by Means of Contactless Inductive Flow Tomography in the Presence of a Magnetic Brake

Journal for Manufacturing Science and Production ◽

10.1515/jmsp-2014-0037 ◽

2015 ◽

Vol 15 (1) ◽

pp. 41-48 ◽

Cited By ~ 1

Author(s):

Matthias Ratajczak ◽

Thomas Wondrak ◽

Klaus Timmel ◽

Frank Stefani ◽

Sven Eckert

Keyword(s):

Magnetic Field ◽

External Magnetic Field ◽

Magnetic Fields ◽

Flow Field ◽

Continuous Casting ◽

Flow Structure ◽

Cross Section ◽

Two Dimensional ◽

Slab Casting ◽

Two Dimensional Flow

AbstractIn continuous casting DC magnetic fields perpendicular to the wide faces of the mold are used to control the flow in the mold. Especially in this case, even a rough knowledge of the flow structure in the mold would be highly desirable. The contactless inductive flow tomography (CIFT) allows to reconstruct the dominating two-dimensional flow structure in a slab casting mold by applying one external magnetic field and by measuring the flow-induced magnetic fields outside the mold. For a physical model of a mold with a cross section of 140 mm×35 mm we present preliminary measurements of the flow field in the mold in the presence of a magnetic brake. In addition, we show first reconstructions of the flow field in a mold with the cross section of 400 mm×100 mm demonstrating the upward scalability of CIFT.

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