Entropy, Fisher Information and Variance with Frost-Musulin Potenial

This study presents the Shannon and Renyi information entropy for both position and momentum space and the Fisher information for the position-dependent mass Schrödinger equation with the Frost-Musulin potential. The analysis of the quantum mechanical probability has been obtained via the Fisher inf...

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Bibliographic Details
Published in:Communications in theoretical physics 2016-09, Vol.66 (3), p.269-274
Main Authors: Idiodi, J.O.A., Onate, C.A.
Format: Article
Language:English
Subjects:
Fisher information
position-dependent mass
Shannon entropy
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Summary:This study presents the Shannon and Renyi information entropy for both position and momentum space and the Fisher information for the position-dependent mass Schrödinger equation with the Frost-Musulin potential. The analysis of the quantum mechanical probability has been obtained via the Fisher information. The variance information of this potential is equally computed. This controls both the chemical properties and physical properties of some of the molecular systems. We have observed the behaviour of the Shannon entropy. Renyi entropy, Fisher information and variance with the quantum number n respectively.
ISSN:0253-6102
DOI:10.1088/0253-6102/66/3/269