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Net information measures for modified Yukawa and Hulthén potentials
Author(s) -
Patil S. H.,
Sen K. D.
Publication year - 2007
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.21333
Subject(s) - yukawa potential , scaling , physics , isotropy , quantum , quantum mechanics , measure (data warehouse) , fisher information , mathematical physics , entropy (arrow of time) , statistical physics , mathematics , statistics , geometry , database , computer science
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 −μ r / r ), and (ii) Hulthén‐like, − Z μ(1/( e μ r − 1)), potentials by cos( b μ r ) followed by addition of the term a / r 2 , 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. © 2007 Wiley Periodicals, Inc. Int J Quantum Chem, 2007