Abstract

AMADI, P. O. et al. Information entropies for H₂ and ScF diatomic molecules with Deng- Fan-Eckart potential. Rev. mex. fis. [online]. 2020, vol.66, n.6, pp.742-748.  Epub Jan 31, 2022. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.66.742.

In this paper, the Shannon entropy and Fisher information is investigated with molecular Deng-Fan-Eckart potential for the diatomic molecules H2 and Shannon entropy and Fisher in position and momentum spaces in three dimensions. Due to the difficulty in obtaining the Fourier transform of the wave function in the momentum space, we considered only two low lying states corresponding to the ground and first excited states. The results are obtained numerically for these diatomic molecules. Localization is observed for the Shannon entropy and delocalization for the Fisher information for the two diatomic molecules considered in position and momentum spaces. The Shannon entropy and the Fisher information measures for the two diatomic molecules satisfied the Bialynicki-Birula and Mycielski and the Stam-Cramer-Rao inequalities uncertainty relation, respectively.

Keywords : Information entropies; Shannon entropy; fisher information; Deng-Fan-Eckart potential; uncertainty relations.

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