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Uncertainty relations for modified isotropic harmonic oscillator and Coulomb potentials

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Field Value
 
Title Uncertainty relations for modified isotropic harmonic oscillator and Coulomb potentials
 
Creator PATIL, SH
SEN, KD
 
Subject entropy
harmonic oscillators
indeterminancy
fisher information matrix
 
Description 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.
 
Publisher Elsevier
 
Date 2009-03-23T05:14:55Z
2011-11-25T20:16:58Z
2011-12-26T13:08:15Z
2011-12-27T05:56:15Z
2009-03-23T05:14:55Z
2011-11-25T20:16:58Z
2011-12-26T13:08:15Z
2011-12-27T05:56:15Z
2007
 
Type Article
 
Identifier Physics Letters A 362(2-3), 109-114
0375-9601
http://dx.doi.org/10.1016/j.physleta.2006.11.045
http://hdl.handle.net/10054/1081
http://dspace.library.iitb.ac.in/xmlui/handle/10054/1081
 
Language en