Shannon entropy and thermodynamic properties of an inversely quadratic Yukawa potential model

Clement  Onate; I. B. Okon; J. A. Akinpelu; O. O. Ajani; Olorunfemi Adedewe; B. B.  Deji-Jinadu

doi:10.46481/jnsps.2024.2134

Authors

C. A. Onate
[email protected]

Department of Physics, Bowen University, Iwo, Osun State, Nigeria
I. B. Okon
Department of Physics, University of Uyo, Uyo, Nigeria
J. A. Akinpelu
Department of Physics, Bowen University, Iwo, Osun State, Nigeria
O. O. Ajani
Department of Physics, Bowen University, Iwo, Osun State, Nigeria
O. A. Adedewe
Federal University of Technology, Akure, Ondo State, Nigeria
B. B. Deji-Jinadu
Department of Physics, Bowen University, Iwo, Osun State, Nigeria

Keywords:

Bound states, EIgensolutions, Wave equation, Entropy, Thermal properties

Abstract

An inversely quadratic Yukawa potential is an exponential-type potential that has received little attention only in the bound state to the best of our understanding. This study obtained the solution of the Schrödinger equation for an inversely quadratic Yukawa potential via parametric Nikiforov-Uvarov method and supersymmetric approach. Some thermodynamic properties (vibrational enthalpy, vibrational Gibbs free energy and vibrational entropy) for the Inversely quadratic Yukawa potential are examined. The study is also applied to shannon entropy as the theoretic quantity. The results obtained showed that the energy eigenvalue for the potential goes in the opposite direction with the quantum state and the screening parameter. The Shannon entropy obtained as a function of the potential strength only obeyed the Heinsenberg principle at the ground state and excited states. In both cases, the also satisfied Bialynick-Birula, Mycielski inequality. It is noted that the thermal properties studied as a function of the temperature, even though the studied potential is not a molecular potential, the results followed the trend of the molecular potential.

Dimensions

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