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Please use this identifier to cite or link to this item: http://dspace.library.iitb.ac.in/jspui/handle/10054/1081

Title: Uncertainty relations for modified isotropic harmonic oscillator and Coulomb potentials
Authors: PATIL, SH
Keywords: entropy
harmonic oscillators
fisher information matrix
Issue Date: 2007
Publisher: Elsevier
Citation: Physics Letters A 362(2-3), 109-114
Abstract: The dimensional analyses of the position and momentum variances which define the Heisenberg uncertainty product are carried out for two non-relativistic model central potentials generated by adding a/r2 term to (i) the isotropic harmonic oscillator, and (ii) the Coulombic hydrogen-like potentials. The uncertainty products are shown to be independent of the scaling of the part (i) and (ii) but are dependent on the strength a of the additional term. The scaling properties are found to be reflected in the entropic uncertainty measure of the Shannon information entropy sum and the Fisher information product. Numerical results are presented in support of the analytic results derived.
URI: http://dx.doi.org/10.1016/j.physleta.2006.11.045
ISSN: 0375-9601
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