Scaling properties of net information measures for superpositions of power potentials: Free and spherically confined cases
DSpace at IIT Bombay
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Title |
Scaling properties of net information measures for superpositions of power potentials: Free and spherically confined cases
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Creator |
PATIL, SH
SEN, KD |
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Subject |
mechanical
entropy numerical analysis |
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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.
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Publisher |
Elsevier
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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 |
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Type |
Article
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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 |
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Language |
en
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