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Scaling properties of net information measures for bound states of spherical model potentials confined with finite barrier

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Title Scaling properties of net information measures for bound states of spherical model potentials confined with finite barrier
 
Creator PATIL, SH
SEN, KD
 
Subject Heisenberg uncertainty
information theory
confined potentials
UNCERTAINTY RELATIONS
MATHEMATICAL-THEORY
COULOMB POTENTIALS
RADIAL POSITION
COMMUNICATION
OSCILLATOR
ELECTRON
MOMENTUM
ATOMS
 
Description Using dimensional analyses, the scaling properties of the Heisenberg uncertainty relationship as well as the various information theoretical uncertainty-like relationships are derived for the bound states corresponding to the superposition of the power potential of the form V(r) = Zr-n + Sigma(i) Z(i)r(ni), where Z, Z(i), n, n(i) are parameters, in the free state as well as in the additional presence of a spherical penetrable boundary wall located at radius R The uncertainty product and all other net information measures are shown here to depend only on the parameters [s(i)] defined by the ratios Z(i)/Z((ni+2)/(n+2)) Introduction of a finite potential, V-c at the radial distance r >= R results in a complete set of scaling parameters given by [s(i), t(1), t(2)], where t(1) is given by RZ(1(n+2)) and t(2) = V-c/(Z)(2/(n+2)).
 
Publisher INDIAN ACAD SCIENCES
 
Date 2014-10-15T13:12:44Z
2014-10-15T13:12:44Z
2012
 
Type Article
 
Identifier JOURNAL OF CHEMICAL SCIENCES, 124(1)241-245
http://dspace.library.iitb.ac.in/jspui/handle/100/14974
 
Language en