Eur. Phys. J. Plus (2021) 136: 272
https://doi.org/10.1140/epjp/s13360-021-01207-3

Regular Article

Effect of momentum-dependent parameter on energy eigenvalues and Fisher information

¹ Department of Physical Sciences, Landmark University, Omu-Aran, Nigeria
² Theoretical Physics Group, Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria
³ Landmark University SDG4 (Quality Education Research Group), Omu-Aran, Nigeria

^a oaclems14@physicist.net

Received: 29 August 2020
Accepted: 8 February 2021
Published online: 2 March 2021

Abstract

A momentum-dependent potential was introduced, and the radial Schrödinger equation was solved with the introduced potential for any arbitrary $\ell$-state using the methodology of supersymmetric quantum mechanics. Fisher information for position space and momentum space has been calculated from expectation values. The effect of momentum-dependent parameter and dissociation energy, respectively, were studied graphically. The Fisher information for position space and momentum space were numerically studied under some parameters, and the inequality relation for Fisher information was verified. The results obtained showed a strong inverse relationship between the position space and momentum space that makes their product bounded above inequality.