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Shannon entropy and Fisher information for screened Kratzer potential

P. O. Amadi, Akpan N. Ikot, A. T. Ngiangia, U. S. Okorie, G. J. Rampho, Hewa Y. Abdullah

2020International Journal of Quantum Chemistry48 citationsDOI

Abstract

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.

Topics & Concepts

Fisher informationPosition and momentum spaceMathematicsEntropy (arrow of time)Position (finance)Eigenvalues and eigenvectorsMomentum (technical analysis)Statistical physicsMathematical physicsInformation theoryPhysicsQuantum mechanicsApplied mathematicsStatisticsFinanceEconomicsStatistical Mechanics and EntropyQuantum Mechanics and Non-Hermitian PhysicsFractal and DNA sequence analysis
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