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Theoretic quantum Information entropies for the generalized hyperbolic potential
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  • Akpan Ikot,
  • Gaotsiwe Joel Rampho,
  • Precious Amadi Orcid,
  • Uduakobong Okorie,
  • Makagamathe Sithole,
  • Mantile Lekala
Akpan Ikot
University of South Africa
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Gaotsiwe Joel Rampho
University of South Africa
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Precious Amadi
Orcid
University of Port Harcourt, Kirchhoff-Institut für Physik
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Uduakobong Okorie
University of Port Harcourt
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Makagamathe Sithole
University of South Africa
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Mantile Lekala
University of South Africa
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Peer review status:IN REVISION

07 May 2020Submitted to International Journal of Quantum Chemistry
08 May 2020Submission Checks Completed
08 May 2020Assigned to Editor
20 May 2020Reviewer(s) Assigned
26 May 2020Review(s) Completed, Editorial Evaluation Pending
26 May 2020Editorial Decision: Revise Major
03 Jun 20201st Revision Received
04 Jun 2020Submission Checks Completed
04 Jun 2020Assigned to Editor
25 Jun 2020Reviewer(s) Assigned
25 Jun 2020Review(s) Completed, Editorial Evaluation Pending
25 Jun 2020Editorial Decision: Revise Minor
27 Jun 20202nd Revision Received
29 Jun 2020Assigned to Editor
29 Jun 2020Submission Checks Completed

Abstract

The Shannon entropy (S) and the Fisher Information (I) entropies are investigated for a generalized hyperbolic potential in position and momentum spaces. Firstly, the Schrodinger equation is solved exactly using the Nikiforov-Uvarov-Functional Analysis (NUFA) method to obtain the energy spectra and the corresponding wave function. By Fourier transforming the position space wave function, the corresponding momentum wave function was obtained for the low lying states corresponding to the ground and first excited state. The positions and momentum Shannon entropy and Fisher Information entropies were calculated numerically. Finally, the Bialynicki-Birula and Mycielski (BBM) and the Stam-Cramer-Rao inequalities for the Shannon entropy and Fisher Information entropies respectively were tested and was found to be satisfied for all cases considered