Net information measures for modified Yukawa and Hulthén potentials

Patil, S. H. ; Sen, K. D. (2007) Net information measures for modified Yukawa and Hulthén potentials International Journal of Quantum Chemistry, 107 (9). pp. 1864-1874. ISSN 0020-7608

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/qua.213...

Related URL: http://dx.doi.org/10.1002/qua.21333

Abstract

The dimensional analyses of the position and momentum variances-based quantum mechanical Heisenberg uncertainty measure, as well as the entropic information measures given by the Shannon information entropy sum and the product of Fisher information measures are carried out for two widely used nonrelativistic isotropic exponential-cosine screened Coulomb potentials generated by multiplying the superpositions of (i) Yukawa-like, −Z(e−μr/r), and (ii) Hulthén-like, −Zμ(1/(eμr−1)), potentials by cos(bμr) followed by addition of the term a/r2, where a and b ≥ 0, μ are the screening parameters and Z, in case of atoms, denotes the nuclear charge. Under the spherical symmetry, all the information measures considered are shown to be independent of the scaling of the set [μ, Z] at a fixed value of μ/Z, a, and b and the other parameters defining the superpositions of the potentials. Numerical results are presented, which support the validity of the scaling properties.

Item Type:Article
Source:Copyright of this article belongs to John Wiley and Sons.
Keywords:Generalized Exponential-cosine Screened Potential; Yukawa Potential; Hulthén Potential; Heisenberg Uncertainty Relation; Shannon Entropy; Fisher Information
ID Code:45039
Deposited On:24 Jun 2011 13:53
Last Modified:24 Jun 2011 13:53

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