Scaling properties of net information measures for bound states of spherical model potentials confined with finite barrier
DSpace at IIT Bombay
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Title |
Scaling properties of net information measures for bound states of spherical model potentials confined with finite barrier
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Creator |
PATIL, SH
SEN, KD |
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Subject |
Heisenberg uncertainty
information theory confined potentials UNCERTAINTY RELATIONS MATHEMATICAL-THEORY COULOMB POTENTIALS RADIAL POSITION COMMUNICATION OSCILLATOR ELECTRON MOMENTUM ATOMS |
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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)).
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Publisher |
INDIAN ACAD SCIENCES
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Date |
2014-10-15T13:12:44Z
2014-10-15T13:12:44Z 2012 |
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Type |
Article
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Identifier |
JOURNAL OF CHEMICAL SCIENCES, 124(1)241-245
http://dspace.library.iitb.ac.in/jspui/handle/100/14974 |
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Language |
en
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