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Please use this identifier to cite or link to this item: http://dspace.library.iitb.ac.in/jspui/handle/10054/9476

Title: Net information measures for modified Yukawa and Hulthen potentials
Authors: PATIL, SH
SEN, KD
Keywords: screened coulomb potentials
asymptotic iteration method
bound-state energies
perturbation-theory
fisher-information
uncertainty relation
mathematical-theory
momentum spaces
charge-density
entropies
Issue Date: 2007
Publisher: JOHN WILEY & SONS INC
Citation: INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 107(9), 1864-1874
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(-mu r)/r), and (ii) Hulthen-like, - Z mu (1/(e(mu r) - 1)), potentials by cos(b mu r) followed by addition of the term a/r(2), where a and b >= 0, mu 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 [mu, Z] at a fixed value of mu/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. (c) 2007 .
URI: http://dx.doi.org/10.1002/qua.21333
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9476
http://hdl.handle.net/10054/9476
ISSN: 0020-7608
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