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Scaling properties of net information measures for superpositions of power potentials: Free and spherically confined cases

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Title Scaling properties of net information measures for superpositions of power potentials: Free and spherically confined cases
 
Creator PATIL, SH
SEN, KD
 
Subject mechanical
entropy
numerical analysis
 
Description The dimensional analyses of the position and momentum variances based quantum mechanical Heisenberg uncertainty measure, along with several entropic information measures are carried out for the superposition of the power potentials of the form V(r)=Zrn+∑iZirni where Z, Zi, n, ni are parameters yielding bound states for a particle of mass M. The uncertainty product and all other net information measures for given values of the parameters Z, Zi, are shown to depend only on M and the ratios Zi/Z(ni+2)/(n+2). Under the imposition of a spherical impenetrable boundary of radius R over the polynomial potential, an additional parametric dependence on RZ1/(n+2) is derived. A representative set of numerical results are presented which support the validity of such a general scaling property.
 
Publisher Elsevier
 
Date 2009-03-20T05:56:02Z
2011-11-25T19:41:51Z
2011-12-26T13:08:00Z
2011-12-27T05:56:01Z
2009-03-20T05:56:02Z
2011-11-25T19:41:51Z
2011-12-26T13:08:00Z
2011-12-27T05:56:01Z
2007
 
Type Article
 
Identifier Physics Letters A 370(3-4), 354-360
0375-9601
http://dx.doi.org/10.1016/j.physleta.2007.05.085
http://hdl.handle.net/10054/1011
http://dspace.library.iitb.ac.in/xmlui/handle/10054/1011
 
Language en