Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields

The two-dimensional (2D) relativistic bound states of a spinless particle placed in scalar S ( r )...

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Main Author: Sameer M. Ikhdair
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2013/491648
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spelling doaj-8eebc18847624182b00d0c15559b651c2020-11-24T23:14:53ZengHindawi LimitedAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/491648491648Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External FieldsSameer M. Ikhdair0Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, PalestineThe two-dimensional (2D) relativistic bound states of a spinless particle placed in scalar S ( r ) and vector V ( r ) Cornell potentials (with S ( r ) > V ( r ) ) are obtained under the influence of external magnetic and Aharonov-Bohm (AB) flux fields using the wave function ansatz method. The relativistic energy eigenvalues and wave functions are found for any arbitrary state with principal n and magnetic m quantum numbers. Further, we obtain the eigensolutions in any dimensional space D without external fields. We also find the relativistic and nonrelativistic bound states for Coulomb, harmonic oscillator, and Kratzer potentials.http://dx.doi.org/10.1155/2013/491648
collection DOAJ
language English
format Article
sources DOAJ
author Sameer M. Ikhdair
spellingShingle Sameer M. Ikhdair
Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields
Advances in High Energy Physics
author_facet Sameer M. Ikhdair
author_sort Sameer M. Ikhdair
title Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields
title_short Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields
title_full Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields
title_fullStr Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields
title_full_unstemmed Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields
title_sort relativistic bound states of spinless particle by the cornell potential model in external fields
publisher Hindawi Limited
series Advances in High Energy Physics
issn 1687-7357
1687-7365
publishDate 2013-01-01
description The two-dimensional (2D) relativistic bound states of a spinless particle placed in scalar S ( r ) and vector V ( r ) Cornell potentials (with S ( r ) > V ( r ) ) are obtained under the influence of external magnetic and Aharonov-Bohm (AB) flux fields using the wave function ansatz method. The relativistic energy eigenvalues and wave functions are found for any arbitrary state with principal n and magnetic m quantum numbers. Further, we obtain the eigensolutions in any dimensional space D without external fields. We also find the relativistic and nonrelativistic bound states for Coulomb, harmonic oscillator, and Kratzer potentials.
url http://dx.doi.org/10.1155/2013/491648
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