https://doi.org/10.1140/epjp/s13360-023-03994-3
Regular Article
Information theoretic measures in Makarov potential
1
Department of Mathematics, Vivekananda College, 700063, Kolkata, WB, India
2
Department of Chemical Sciences, Indian Institute of Science Education and Research (IISER) Kolkata, 741246, Mohanpur, Nadia, WB, India
Received:
22
February
2023
Accepted:
11
April
2023
Published online:
8
May
2023
Exact eigenvalue and eigenfunction of non-central Makarov potential is derived for arbitrary quantum states having non-zero angular quantum number. The wave function is obtained in terms of associated Laguerre and Jacobi polynomials using a simple novel procedure. Then information theoretic measures such as Shannon entropy, entropic moment, disequilibrium, Rényi entropy and Fisher information are also derived analytically. Comparative numerical and graphical results are presented for selected low-lying states of Makarov, as well as two special cases, viz., Hartmann and Coulomb potential. In all cases, we have provided expressions for radial, polar angular and total information quantities. Most of the information-related results are presented here for the first time.
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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.
