Fisher-like atomic divergences: Mathematical grounds and physical applications

A.L. Martín, J.C. Angulo and J. Antolín

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 21, 5552-5563

Abstract: Two different local divergence measures, the Fisher (FD) and the Jensen–Fisher (JFD) ones, are compared in this work by applying them to atomic one-particle densities in position and momentum spaces. They are defined in terms of the absolute and the relative Fisher information functionals. The analysis here afforded includes not only neutral atoms, but also singly-charged cations. The results are interpreted and justified according to (i) shell-filling patterns, (ii) short- and long-range behaviors of the atomic densities, and (iii) the value of the atomic ionization potential. The strengths of the FD measure, as compared to the JFD one, are emphasized.

Keywords: Fisher divergence; Jensen–Fisher divergence; Atomic one-particle densities; Shell filling; Conjugated spaces (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:21:p:5552-5563

DOI: 10.1016/j.physa.2013.07.013

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