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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Series: | Advances in High Energy Physics |
Online Access: | http://dx.doi.org/10.1155/2013/491648 |
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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 |
work_keys_str_mv |
AT sameermikhdair relativisticboundstatesofspinlessparticlebythecornellpotentialmodelinexternalfields |
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1725592929291993088 |