Affordable Access

Access to the full text

Analytical determination of theoretic quantities for multiple potential

Authors
  • Onate, C. A.1
  • Onyeaju, M. C.2
  • Abolarinwa, A.3
  • Lukman, A. F.1
  • 1 Landmark University, Omu-Aran, Nigeria , Omu-Aran (Nigeria)
  • 2 University of Port Harcourt, Port Harcourt, Nigeria , Port Harcourt (Nigeria)
  • 3 University of Lagos, Akoka, Lagos State, Nigeria , Akoka, Lagos State (Nigeria)
Type
Published Article
Journal
Scientific Reports
Publisher
Springer Nature
Publication Date
Oct 16, 2020
Volume
10
Issue
1
Identifiers
DOI: 10.1038/s41598-020-73372-x
Source
Springer Nature
License
Green

Abstract

The approximate analytical solutions of the three-dimensional radial Schrödinger wave equation with a multiple potential function has been studied using a suitable approximation scheme to the centrifugal term in the framework of parametric Nikiforov–Uvarov method. The energy equation and the wave function were obtained. The calculated wave function was used to study Shannon entropy and variance via expectation values. The behaviour of Shannon entropy and variance respectively with the equilibrium bond length were examined in detail. A special case of the multiple potential (pseudoharmonic-like potential) was equally examined under Shannon entropy and variance. For further application of the study, some diatomic molecules were examined under variance and Shannon entropy. Finally, some variance inequalities were derived using Cramer-Rao uncertainty relation and these were justified by numerical results.

Report this publication

Statistics

Seen <100 times