Version 1
: Received: 18 January 2024 / Approved: 18 January 2024 / Online: 18 January 2024 (12:25:39 CET)
How to cite:
Onate, C.A.; Okon, I.; Eyube, E.; Omugbe, E.; Emeje, K.; Onyeaju, M.; Ajani, O.; Akinpelu, J. Fisher Information for a System of a Combination of Similar Potential Models. Preprints2024, 2024011419. https://doi.org/10.20944/preprints202401.1419.v1
Onate, C.A.; Okon, I.; Eyube, E.; Omugbe, E.; Emeje, K.; Onyeaju, M.; Ajani, O.; Akinpelu, J. Fisher Information for a System of a Combination of Similar Potential Models. Preprints 2024, 2024011419. https://doi.org/10.20944/preprints202401.1419.v1
Onate, C.A.; Okon, I.; Eyube, E.; Omugbe, E.; Emeje, K.; Onyeaju, M.; Ajani, O.; Akinpelu, J. Fisher Information for a System of a Combination of Similar Potential Models. Preprints2024, 2024011419. https://doi.org/10.20944/preprints202401.1419.v1
APA Style
Onate, C.A., Okon, I., Eyube, E., Omugbe, E., Emeje, K., Onyeaju, M., Ajani, O., & Akinpelu, J. (2024). Fisher Information for a System of a Combination of Similar Potential Models. Preprints. https://doi.org/10.20944/preprints202401.1419.v1
Chicago/Turabian Style
Onate, C.A., Olumide Ajani and Jacob Akinpelu. 2024 "Fisher Information for a System of a Combination of Similar Potential Models" Preprints. https://doi.org/10.20944/preprints202401.1419.v1
Abstract
The solutions of the radial Schrödinger equation for a pseudoharmonic potential and Kratzer potentials has been studied separately in the past. The Kratzer potential despite different reports, the basic theoretic quantity such as Fisher information has not been reported. In this study, the solution of the radial Schrödinger equation for the combination of the pseudoharmonic and Kratzer potentials in the presence of a constant-dependent potential is obtained using 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. The expectation values are used to calculate the Fisher information for both the position and momentum spaces in both the absence and presence of the constant-dependent potential. The obtained results 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. The presence of the constant-dependent potential also 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 the Fisher’s inequality and the Cramer-Rao’s inequality.
Keywords
Bound state; Wave equation; Eigensolution; Fisher information; Potential model
Subject
Physical Sciences, Mathematical Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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