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Net information measures for modified Yukawa and Hulthen potentials

DSpace at IIT Bombay

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Field Value
 
Title Net information measures for modified Yukawa and Hulthen potentials
 
Creator PATIL, SH
SEN, KD
 
Subject screened coulomb potentials
asymptotic iteration method
bound-state energies
perturbation-theory
fisher-information
uncertainty relation
mathematical-theory
momentum spaces
charge-density
entropies
generalized exponential-cosine screened potential
yukawa potential
hulthen potential
heisenberg uncertainty relation
shannon entropy
fisher information
 
Description 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 .
 
Publisher JOHN WILEY & SONS INC
 
Date 2011-08-16T10:40:35Z
2011-12-26T12:54:54Z
2011-12-27T05:43:17Z
2011-08-16T10:40:35Z
2011-12-26T12:54:54Z
2011-12-27T05:43:17Z
2007
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 107(9), 1864-1874
0020-7608
http://dx.doi.org/10.1002/qua.21333
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9476
http://hdl.handle.net/10054/9476
 
Language en