Statistical Analysis and Information Theory of Screened Kratzer-Hellmann Potential Model

• URL: http://arxiv.org/abs/2001.08429v1
• Date: Thu, 23 Jan 2020 10:04:34 GMT
• Title: Statistical Analysis and Information Theory of Screened Kratzer-Hellmann Potential Model
• Authors: Gabriel T. Osobonye, Uduakobong S. Okorie, Precious O. Amadi, Akpan N. Ikot
• Abstract summary: The radial Schrodinger equation for a newly proposed screened Kratzer-Hellmann potential model was studied. Results were employed to evaluate the rotational-vibrational partition function and other thermodynamic properties for the screened Kratzer-Hellmann potential.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this research, the radial Schrodinger equation for a newly proposed screened Kratzer-Hellmann potential model was studied via the conventional Nikiforov-Uvarov method. The approximate bound state solution of the Schrodinger equation was obtained using the Greene-Aldrich approximation, in addition to the normalized eigenfunction for the new potential model both analytically and numerically. These results were employed to evaluate the rotational-vibrational partition function and other thermodynamic properties for the screened Kratzer-Hellmann potential. We have discussed the results obtained graphically. Also, the normalized eigenfunction has been used to calculate some information-theoretic measures including Shannon entropy and Fisher information for low lying states in both position and momentum spaces numerically. We observed that the Shannon entropy results agreed with the Bialynicki-Birula and Mycielski inequality, while the Fisher information results obtained agreed with the Stam, Crammer-Rao inequality. From our results, we observed alternating increasing and decreasing localization across the screening parameter in the both eigenstates.

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