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Thermal properties and quantum information theory with the shifted Morse potential

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Abstract

By employing the Nikiforov–Uvarov functional analysis (NUFA) method, we solved the radial Schrödinger 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-theoretic measures, 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 the ground and the 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.

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Authors and Affiliations

  1. Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, 520101, Nigeria

    M E Udoh & A D Antia

  2. Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Nigeria

    P O Amadi & A N Ikot

  3. Department of Physics, Akwa Ibom State University, Ikot Akpaden, P.M.B. 1167, Uyo, Nigeria

    U S Okorie

  4. Theoretical Physics Programme, National Mathematical Centre, Abuja, Nigeria

    L F Obagboye

  5. Department of Physics, College of Science, Sultan Qaboos University, P. C. 123, Al-Khod, P.O. Box 36, Muscat, Sultanate of Oman

    R Horchani & N Sulaiman

Authors
  1. M E Udoh
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  2. P O Amadi
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  3. U S Okorie
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  4. A D Antia
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  5. L F Obagboye
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  6. R Horchani
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  7. N Sulaiman
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  8. A N Ikot
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Corresponding author

Correspondence to U S Okorie.

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Udoh, M.E., Amadi, P.O., Okorie, U.S. et al. Thermal properties and quantum information theory with the shifted Morse potential. Pramana - J Phys 96, 222 (2022). https://doi.org/10.1007/s12043-022-02463-3

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  • DOI: https://doi.org/10.1007/s12043-022-02463-3

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