Entropic system in the relativistic Klein-Gordon Particle

The solutions of Kratzer potential plus Hellmann potential was obtained under the Klein-Gordon equation via the parametric Nikiforov-Uvarov method. The relativistic energy and its corresponding normalized wave functions were fully calculated. The theoretic quantities in terms of the entropic system...

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Main Authors: C. A. Onate, M. C. Onyeaju
Format: Article
Language:English
Published: Nigerian Society of Physical Sciences 2021-08-01
Series:Journal of Nigerian Society of Physical Sciences
Subjects:
Online Access:https://journal.nsps.org.ng/index.php/jnsps/article/view/209
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author C. A. Onate
M. C. Onyeaju
author_facet C. A. Onate
M. C. Onyeaju
author_sort C. A. Onate
collection DOAJ
description The solutions of Kratzer potential plus Hellmann potential was obtained under the Klein-Gordon equation via the parametric Nikiforov-Uvarov method. The relativistic energy and its corresponding normalized wave functions were fully calculated. The theoretic quantities in terms of the entropic system under the relativistic Klein-Gordon equation (a spinless particle) for a Kratzer-Hellmann’s potential model were studied. The effects of a and b respectively (the parameters in the potential that determine the strength of the potential) on each of the entropy were fully examined. The maximum point of stability of a system under the three entropies was determined at the point of intersection between two formulated expressions plotted against a as one of the parameters in the potential. Finally, the popular Shannon entropy uncertainty relation known as Bialynick-Birula, Mycielski inequality was deduced by generating numerical results.
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spelling doaj.art-b3f8e574dcca479298750cdd2ded9b872022-12-21T16:43:03ZengNigerian Society of Physical SciencesJournal of Nigerian Society of Physical Sciences2714-28172714-47042021-08-013310.46481/jnsps.2021.209Entropic system in the relativistic Klein-Gordon ParticleC. A. Onate0M. C. Onyeaju1Physics Programme, Department of Physical Sciences, Landmark University, Omu-Aran, NigeriaDepartment of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, NigeriaThe solutions of Kratzer potential plus Hellmann potential was obtained under the Klein-Gordon equation via the parametric Nikiforov-Uvarov method. The relativistic energy and its corresponding normalized wave functions were fully calculated. The theoretic quantities in terms of the entropic system under the relativistic Klein-Gordon equation (a spinless particle) for a Kratzer-Hellmann’s potential model were studied. The effects of a and b respectively (the parameters in the potential that determine the strength of the potential) on each of the entropy were fully examined. The maximum point of stability of a system under the three entropies was determined at the point of intersection between two formulated expressions plotted against a as one of the parameters in the potential. Finally, the popular Shannon entropy uncertainty relation known as Bialynick-Birula, Mycielski inequality was deduced by generating numerical results.https://journal.nsps.org.ng/index.php/jnsps/article/view/209EigensolutionsBound statesWave equationTheoretic quantity
spellingShingle C. A. Onate
M. C. Onyeaju
Entropic system in the relativistic Klein-Gordon Particle
Journal of Nigerian Society of Physical Sciences
Eigensolutions
Bound states
Wave equation
Theoretic quantity
title Entropic system in the relativistic Klein-Gordon Particle
title_full Entropic system in the relativistic Klein-Gordon Particle
title_fullStr Entropic system in the relativistic Klein-Gordon Particle
title_full_unstemmed Entropic system in the relativistic Klein-Gordon Particle
title_short Entropic system in the relativistic Klein-Gordon Particle
title_sort entropic system in the relativistic klein gordon particle
topic Eigensolutions
Bound states
Wave equation
Theoretic quantity
url https://journal.nsps.org.ng/index.php/jnsps/article/view/209
work_keys_str_mv AT caonate entropicsystemintherelativistickleingordonparticle
AT mconyeaju entropicsystemintherelativistickleingordonparticle