Eigensolution techniques, expectation values and Fisher information of Wei potential function

Onate, C.A and Onyeaju, M.C. and Bankole, D.T. and Ikot, A.N (2020) Eigensolution techniques, expectation values and Fisher information of Wei potential function. Journal of Molecular Modeling, 26.

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Abstract

An approximate solution of the one-dimensional relativistic Klein-Gordon equation was obtained under the interaction of an improved expression for Wei potential energy function. The solution of the non-relativistic Schrödinger equation was obtained from the solution of the relativistic Klein-Gordon equation by certain mappings. We have calculated Fisher information for position space and momentum space via the computation of expectation values. The effects of some parameters of the Wei potential energy function on the Fisher information were fully examined graphically. We have also examined the effects of the quantum number n and the angular momentum quantum number ℓ on the expectation values and Fisher information respectively for some selected molecules. Our results revealed that the variation of most of the parameters of the Wei potential energy function against the Fisher information does not obey the Heisenberg uncertainty relation for Fisher information while that of the quantum number and angular momentum quantum number on Fisher information obeyed the relation.

Item Type: Article
Additional Information: bankole.deborah@lmu.edu.ng
Uncontrolled Keywords: Eigensolutions, Wave equations, Klein-Gordon equation, Fisherinformation, Expectationvalue, Potentialfunction
Subjects: Q Science > QC Physics
Q Science > QD Chemistry
Depositing User: MRS DEBORAH T. BANKOLE
Date Deposited: 12 Jul 2021 08:03
Last Modified: 12 Jul 2021 08:03
URI: https://eprints.lmu.edu.ng/id/eprint/3409

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