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Thermal Properties and Quantum Information Theory with the Shifted Morse Potential
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  • Etiufan Udoh,
  • Precious Amadi ,
  • Uduakobong Okorie,
  • Akaninyene Antia,
  • Lewis Obagboye,
  • Ridha Horchani,
  • Nidhal Sulaiman,
  • Akpan Ikot
Etiufan Udoh
University of Uyo
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Precious Amadi
University of Port Harcourt
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Uduakobong Okorie
Akwa Ibom State University
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Akaninyene Antia
University of Uyo
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Lewis Obagboye
National Mathematical Centre
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Ridha Horchani
Sultan Qaboos University
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Nidhal Sulaiman
Sultan Qaboos University
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Akpan Ikot
Theoretical Physics Group
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Abstract

By employing the Nikiforov-Uvarov functional analysis (NUFA) method, we solved the radial Schrodinger equation with the shifted Morse potential model. The analytical expressions of the energy eigenvalues, eigenfunctions and numerical results were determined for selected values of the potential parameters. Variations of different thermodynamic functions with temperature were discussed extensively. Different quantum information theories including Shannon entropy, Fisher information and Fisher-Shannon product of the shifted Morse potential were investigated numerically and graphically in position and momentum spaces for ground and first excited states. The quantum information theories considered satisfied their corresponding inequalities including Bialynicki–Birula–Mycielski, Stam–Cramer–Rao inequalities and the Fisher–Shannon product relation.
02 Mar 2022Submitted to International Journal of Quantum Chemistry
03 Mar 2022Assigned to Editor
03 Mar 2022Submission Checks Completed
07 Mar 2022Reviewer(s) Assigned