Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Molecular Modeling

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

C. A. Onate, M. C. Onyeaju, Deborah Temitope Bankole, A. N. Ikot

Published Oct 21, 2020• 8 citations
Publisher
DOI
10.1007/s00894-020-04573-4

Related papers

Eigensolution, expectation values and thermodynamic properties of the screened Kratzer potential

A. N. Ikot, U. S. Okorie, R. Sever +1 more

The European Physical Journal Plus•Aug 1, 2019•144 citations

Eigensolutions, Shannon entropy and information energy for modified Tietz-Hua potential

C. A. Onate, M. C. Onyeaju, Eno E. Ituen +4 more

Indian Journal of Physics•Nov 11, 2017•29 citations

Representations and Eigenfunctions

Pure and applied physics•Jan 1, 1959•0 citations

Eigensolution techniques, their applications and Fisherʼs information entropy of the Tietz–Wei diatomic molecular model

B. J. Falaye, K. J. Oyewumi, S M Ikhdair +1 more

In this study, approximate analytical solution of Schrödinger, Klein-Gordon and Dirac equations under the Tietz-Wei (TW) diatomic molecular potential are represented by using an approximation for the centrifugal term. We have applied three types of eigensolution techniques; the functional analysis approach (FAA), supersymmetry quantum mechanics (SUSYQM) and asymptotic iteration method (AIM) to solve Klein-Gordon Dirac and Schrödinger equations, respectively. The energy eigenvalues and the corresponding eigenfunctions for these three wave equations are obtained and some numerical results and figures are reported. It has been shown that these techniques yielded exactly same results. some expectation values of the TW diatomic molecular potential within the framework of the Hellmann-Feynman theorem (HFT) have been presented. The probability distributions which characterize the quantum-mechanical states of TW diatomic molecular potential are analysed by means of complementary information measures of a probability distribution called the Fishers information entropy. This distribution has been described in terms of Jacobi polynomials, whose characteristics are controlled by the quantum numbers.

arXiv:1406.1716•Physica Scripta•Oct 21, 2014•87 citations

Bound state solutions, Fisher information measures, expectation values, and transmission coefficient of the Varshni potential

E. Omugbe, O. E. Osafile, I. B. Okon +2 more

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)⟨r2⟩≥9). The mean values conform to the ones reported in existing literature.

Molecular Physics•Apr 8, 2021•22 citations

Relativistic Treatment of Spin-zero Particles Subjected to the Shifted Tietz-Wei Potential Model

C. A. Onate, A. N. Ikot, M. C. Onyeaju +3 more

The approximate solutions of the Klein-Gordon equation with the shifted Tietz-Wei potential function are thoroughly studied for Klein-Gordon equation with both 2 V and V potentials by using a suitable approximation scheme for the centrifugal term in the framework of the supersymmetric approach. The non-relativistic limits in both cases are obtained, and the numerical results are computed. We have equally investigated the Fisher information on the shifted Tietz-Wei potential function in the case of the non-relativistic limit of the Klein-Gordon equation with potential V because this is only possible in the non-relativistic regime. The Fisher information is observed to be inversely proportional to both C h and b h , where C h is the optimization parameter and b h = β (1 − C h ), with β being the Morse constant.

Journal of the Korean Physical Society•Sep 1, 2018•3 citations
In this study, approximate analytical solution of Schrödinger, Klein-Gordon and Dirac equations under the Tietz-Wei (TW) diatomic molecular potential are represented by using an approximation for the centrifugal term. We have applied three types of eigensolution techniques; the functional analysis approach (FAA), supersymmetry quantum mechanics (SUSYQM) and asymptotic iteration method (AIM) to solve Klein-Gordon Dirac and Schrödinger equations, respectively. The energy eigenvalues and the corresponding eigenfunctions for these three wave equations are obtained and some numerical results and figures are reported. It has been shown that these techniques yielded exactly same results. some expectation values of the TW diatomic molecular potential within the framework of the Hellmann-Feynman theorem (HFT) have been presented. The probability distributions which characterize the quantum-mechanical states of TW diatomic molecular potential are analysed by means of complementary information measures of a probability distribution called the Fishers information entropy. This distribution has been described in terms of Jacobi polynomials, whose characteristics are controlled by the quantum numbers.
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)⟨r2⟩≥9). The mean values conform to the ones reported in existing literature.
The approximate solutions of the Klein-Gordon equation with the shifted Tietz-Wei potential function are thoroughly studied for Klein-Gordon equation with both 2 V and V potentials by using a suitable approximation scheme for the centrifugal term in the framework of the supersymmetric approach. The non-relativistic limits in both cases are obtained, and the numerical results are computed. We have equally investigated the Fisher information on the shifted Tietz-Wei potential function in the case of the non-relativistic limit of the Klein-Gordon equation with potential V because this is only possible in the non-relativistic regime. The Fisher information is observed to be inversely proportional to both C h and b h , where C h is the optimization parameter and b h = β (1 − C h ), with β being the Morse constant.