Theoretic measure and thermal properties of a standard Morse potential model.

Autor: Onate CA; Department of Physics, Kogi State University, Anyigba, Nigeria. oaclems14@physicist.net., Okon IB; Department of Physics, University of Uyo, Uyo, Nigeria., Vincent UE; Department of Physical Sciences, Redeemer's University, P.M.B. 230, Ede, Nigeria.; Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK., Omugbe E; Department of Physics, University of Agriculture and Environmental Sciences, Umuagwo, Imo State, Nigeria., Eyube ES; Department of Physics, School of Physical Sciences, Modibbo Adama University of Technology, Yola, Nigeria., Onyeaju MC; Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Nigeria., Jude GO; Department of Physics, University of Uyo, Uyo, Nigeria.
Jazyk: angličtina
Zdroj: Journal of molecular modeling [J Mol Model] 2023 Jan 10; Vol. 29 (2), pp. 34. Date of Electronic Publication: 2023 Jan 10.
DOI: 10.1007/s00894-022-05441-z
Abstrakt: Since the proposition of the standard form of Morse potential [Formula: see text] model over the years, there has not been much attention on the potential. Its application to different studies such as the thermodynamic properties and information theory are yet to be reported to the best of our understanding. In this study, the solutions of the radial Schrödinger equation for the standard Morse potential is obtained using supersymmetric approach. The effect of the quantum number on the energy eigenvalue for the standard Morse potential is examined numerically for the hydrogen molecule (H 2 ), lithium molecule (Li 2 ), and potassium molecule (K 2 ). Using the energy equation and the wave function obtained, the theoretic measures and thermodynamic properties of hydrogen, lithium, and potassium molecules are calculated via maple program. It has been shown that the energy of the standard Morse potential is fully bounded for the three molecules studied. A higher concentration of electron density corresponds to a strongly localized distribution in the position configuration. The Beckner, Bialynicki-Birula, and Mycieslki (BBM) inequality is satisfied for both the ground state and the first excited state. Finally, the product of uncertainty obtained obeyed the Heisenberg uncertainty relation.
(© 2023. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.)
Databáze: MEDLINE
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