https://doi.org/10.1140/epjp/s13360-023-04617-7
Regular Article
Investigation of quantum information theory with the screened modified Kratzer and a class of Yukawa potential model
1
Department of Physics, National Open University of Nigeria, Jabi-Abuja, Nigeria
2
Department of Physics, University of Agriculture and Environmental Sciences, Umuagwo, Imo State, Nigeria
3
Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shibin El Kom, Egypt
4
Department of Physics, School of Pure and Applied Sciences, Federal University of Technology, Ikot Abasi, Nigeria
a etidophysics@gmail.com, einyang@noun.edu.ng
Received:
12
July
2023
Accepted:
20
October
2023
Published online:
2
November
2023
In this research, the screened modified Kratzer potential plus class of Yukawa potential with the Schrodinger equation is solved using the Nikiforov-Uvarov method to determine the energy equation and total normalized wave function. For the low-lying states, the Shannon entropy, and the Fisher information are examined in position and momentum spaces with the obtained total wave function. The expectation values are also examined. It was discovered that the Bialynicki, Birula, and Mycielski, and Stam-Cramer-Rao inequalities for Shannon entropy and Fisher Information entropies respectively were satisfied. The expectation values of and
are also calculated numerically. Our numerical results validate the Heisenberg uncertainty relation.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.