Energy Spectrum and the properties of the Schiöberg potential using the WKB approximation approach. (16th February 2021)

• Record Type: Journal Article
• Authors: Omugbe, E.; Osafile, O. E.; Okon, I. B.; Onyeaju, M. C.
• Is Part Of: Molecular physics. Volume 119:Number 4(2021)
• Publication Date: 2021-02-16
• Subjects: Schiöberg potential -- WKB approximation method -- thermodynamic properties -- rotational-vibrational constants -- expectation values; Molecules -- Periodicals; Chemistry, Physical and theoretical -- Periodicals; Molécules -- Périodiques; Chimie physique et théorique -- Périodiques; 539.6.05
• DOI: 10.1080/00268976.2020.1818860
• Languages: English
• ISSNs: 0026-8976

Abstract

Abstract : In this paper, we obtained the non-relativistic ro-vibrational energy spectra, constants, expectation values and the thermodynamic properties of the Schiöberg potential function within the framework of the Wentzel-Kramers-Brillouin (WKB) approximation method. We applied an improved Greene-Aldrich-type approximation scheme to the orbital centrifugal term and obtained a closed-form energy equation. The energy eigenvalues obtained numerically are in excellent agreement with other analytical and numerical works in the literature. The results for the expectation values confirm the principle of energy conservation. The results in this present work reinforce the exactness of the leading order WKB approximation and may also be of interest to researchers in the field of molecular and chemical physics. GRAPHICAL ABSTRACT: