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Shannon entropy and Fisher information for screened Kratzer potential |
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| Authors: | Precious O Amadi Akpan N Ikot Alalibo T Ngiangia Uduakobong S Okorie Gaotsiwe J Rampho Hewa Y Abdullah |
| Institution: | 1. Department of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, Nigeria;2. Department of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, Nigeria
Department of Physics, University of South Africa, Johannesburg, South Africa Contribution: Project administration, Supervision, Validation, Writing - review & editing;3. Department of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, Nigeria Contribution: Supervision;4. Department of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, Nigeria Department of Physics, Akwa Ibom State University, Uyo, Nigeria Contribution: Writing - review & editing;5. Department of Physics, University of South Africa, Johannesburg, South Africa Contribution: Visualization;6. Department of Physics Education, Faculty of Education, Tishk International University, Erbil, Iraq Contribution: Visualization |
| Abstract: | In this paper, Shannon entropy and Fisher information is studied for the screened Kratzer potential model and compared with the screened Coulomb in three dimensions. Our results showed similar higher-order characteristic behavior for position and momentum space. Our numerical results showed that increases in the accuracy of predicting particle location occurred in the position space. Our result shows that the sum of the position and momentum entropies satisfies the lower-bound Berkner, Bialynicki-Birula, and Mycieslki inequality. The Stam-Cramer-Rao inequalities relation for Fisher information and the expectation values were also satisfied for the different eigenstates. |
| Keywords: | expectation values Fisher information screened coulomb potential screened Kratzer potential Shannon entropy |