Fisher Information for a System Composed of a Combination of Similar Potential Models

The solutions to the radial Schrödinger equation for a pseudoharmonic potential and Kratzer potential have been studied separately in the past. Despite different reports on the Kratzer potential, the fundamental theoretical quantities such as Fisher information have not been reported. In this study,...

Full description

Saved in:
Bibliographic Details
Published in:Quantum reports 2024-05, Vol.6 (2), p.184-199
Main Authors: Onate, Clement Atachegbe, Okon, Ituen B., Eyube, Edwin Samson, Omugbe, Ekwevugbe, Emeje, Kizito O., Onyeaju, Michael C., Ajani, Olumide O., Akinpelu, Jacob A.
Format: Article
Language:English
Subjects:
Approximation
bound state
eigensolution
Eigenvalues
Electrons
Energy
Entropy
Fisher information
Investigations
Momentum
potential model
Quantum physics
Schrodinger equation
wave equation
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The solutions to the radial Schrödinger equation for a pseudoharmonic potential and Kratzer potential have been studied separately in the past. Despite different reports on the Kratzer potential, the fundamental theoretical quantities such as Fisher information have not been reported. In this study, we obtain the solution to the radial Schrödinger equation for the combination of the pseudoharmonic and Kratzer potentials in the presence of a constant-dependent potential, utilizing the concepts and formalism of the supersymmetric and shape invariance approach. The position expectation value and momentum expectation value are calculated employing the Hellmann–Feynman Theory. These expectation values are then used to calculate the Fisher information for both position and momentum spaces in both the absence and presence of the constant-dependent potential. The results obtained revealed that the presence of the constant-dependent potential leads to an increase in the energy eigenvalue, as well as in the position and momentum expectation values. Additionally, the constant-dependent potential increases the Fisher information for both position and momentum spaces. Furthermore, the product of the position expectation value and the momentum expectation value, along with the product of the Fisher information, satisfies both Fisher’s inequality and Cramer–Rao’s inequality.
ISSN:2624-960X
2624-960X
DOI:10.3390/quantum6020015