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Shannon Entropy and Fisher Information for Screened Kratzer Potential
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  • Precious Amadi ,
  • Akpan Ikot,
  • Alalibo Ngiangia,
  • Uduakobong Okorie,
  • Gaotsiwe Joel Rampho,
  • Hewa Abdullah
Precious Amadi
University of Port Harcourt
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Akpan Ikot
University of Port Harcourt
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Alalibo Ngiangia
University of Port Harcourt
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Uduakobong Okorie
University of Port Harcourt
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Gaotsiwe Joel Rampho
University of South Africa
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Hewa Abdullah
Salahaddin University- Hawler
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Abstract

In this paper, the Shannon entropy and Fisher information are studied for the screened Kratzer potential model (SKP). We calculated the position and momentum entropies for the screened Kratzer potential for its ground states as well as the first excited state. Our result shows that the sum of the position and momentum entropies satisfies the lower bound Berkner, Bialynicki–Birula and Mycieslki (BBM) inequality. Also, our results showed that decreasing Shannon entropy in the position space was complemented with an increasing Shannon entropy in the momentum space. Similarly, we evaluated for Fisher information and show that the Stam, Cramer-Rao inequalities are satisfied. The squeezing phenomena were also observed for certain values of the screening parameter α.

Peer review status:ACCEPTED

06 Jan 2020Submitted to International Journal of Quantum Chemistry
07 Jan 2020Submission Checks Completed
07 Jan 2020Assigned to Editor
22 Jan 2020Reviewer(s) Assigned
24 Jan 2020Review(s) Completed, Editorial Evaluation Pending
24 Jan 2020Editorial Decision: Revise Minor
14 Feb 20201st Revision Received
14 Feb 2020Assigned to Editor
14 Feb 2020Submission Checks Completed
20 Feb 2020Reviewer(s) Assigned
09 Mar 2020Review(s) Completed, Editorial Evaluation Pending
10 Mar 2020Editorial Decision: Revise Major
19 Mar 20202nd Revision Received
20 Mar 2020Submission Checks Completed
20 Mar 2020Assigned to Editor
23 Mar 2020Reviewer(s) Assigned
24 Mar 2020Review(s) Completed, Editorial Evaluation Pending
24 Mar 2020Editorial Decision: Accept