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Shannon entropy and Fisher information for screened Kratzer potential
Author(s) -
Amadi Precious O.,
Ikot Akpan N.,
Ngiangia Alalibo T.,
Okorie Uduakobong S.,
Rampho Gaotsiwe J.,
Abdullah Hewa Y.
Publication year - 2020
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.26246
Subject(s) - fisher information , position and momentum space , mathematics , entropy (arrow of time) , position (finance) , eigenvalues and eigenvectors , momentum (technical analysis) , statistical physics , mathematical physics , information theory , physics , quantum mechanics , statistics , finance , economics
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.