Bound state solutions, Fisher information measures, expectation values, and transmission coefficient of the Varshni potential. (19th May 2021)

• Record Type: Journal Article
• Authors: Omugbe, E.; Osafile, O. E.; Okon, I. B.; Enaibe, E. A.; Onyeaju, M. C.
• Is Part Of: Molecular physics. Volume 119:Number 10(2021)
• Publication Date: 2021-05-19
• Subjects: Varshni potential -- Fisher information measure -- WKB approximation -- expectation values -- Cramer-Rao inequality; Molecules -- Periodicals; Chemistry, Physical and theoretical -- Periodicals; Molécules -- Périodiques; Chimie physique et théorique -- Périodiques; 539.6.05
• DOI: 10.1080/00268976.2021.1909163
• Languages: English
• ISSNs: 0026-8976

Abstract

Abstract : The eigensolutions of the Schrödinger equation under the Varshni potential function are studied with two eigensolution techniques such as the Nikiforov–Uvarov and the semi-classical WKB approximation methods. We extended the work to investigate the analytical and numerical Fisher information measure of complexities and also the expectations values using the Hellmann–Feynman theorem. We determined the transmission coefficient using the WKB method. The WKB energy levels and mean values fluctuate with the potential range compared with the NU derived values. Our results for the Fisher information measure obey the uncertainty relation I ( ρ ) I ( γ ) ≥ 36 and the Cramer–Rao inequality for position space ( I ( ρ ) ⟨ r 2 ⟩ ≥ 9 ). The mean values conform to the ones reported in existing literature. GRAPHICAL ABSTRACT: