Bound state solutions of the Schrὃdinger equation and expectation value for some molecules

•Solutions of Schrӧidinger equation with a combination of two potential was studied.•A normalized radial wave function was obtained.•Four molecules were numerically studied with their spectroscopic parameters.•Momentum expectation value was calculated from Fisher information.•Hulthẻn potential as a...

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Bibliographic Details
Published in:Results in physics 2019-12, Vol.15, p.102769, Article 102769
Main Authors: Adebimpe, O., Okoro, J.O., Onate, C.A.
Format: Article
Language:English
Subjects:
Eigensolutions
Nikiforov-Uvarov method
Potentials
Schrὃdinger equation
Wave equation
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Summary:•Solutions of Schrӧidinger equation with a combination of two potential was studied.•A normalized radial wave function was obtained.•Four molecules were numerically studied with their spectroscopic parameters.•Momentum expectation value was calculated from Fisher information.•Hulthẻn potential as a special case of the combined potential was studied. An approximate solution of the radial Schrödinger equation for D-dimensional system has been studied in the presence of a combination of two molecular potentials via parametric Nikiforov-Uvarov method using a suitable approximation scheme to the centrifugal term. The ro-vibrational energy for CrH, NiC, CuLi and ScF were numerically studied using their respective spectroscopic parameters. We have also calculated the momentum expectation value from Fisher information using Cramer-Rao uncertainty relation. A special case of the combined potential (Hulthén potential) was also studied numerically and the results were found to be in excellent agreement with those in the literature.
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2019.102769