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Characteristic features of net information measures for constrained coulomb potentials

DSpace at IIT Bombay

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Title Characteristic features of net information measures for constrained coulomb potentials
 
Creator PATIL, SH
SEN, KD
WATSON, NA
MONTGOMERY, HE
 
Subject superintense laser fields
confined hydrogen-atom
generalized pseudospectral approach
dimensional schrodinger-equation
bound-states
polynomial potentials
uncertainty relations
fisher-information
dipole polarizability
singular potentials
 
Description The dimensional analyses of the position and momentum variance based quantum mechanical Heisenberg uncertainty measure and the other useful net entropic information measures for the bound states of two constrained Coulomb potentials are reported for the first time. The potentials describe an electron moving in the central field due to a nucleus of charge Z with radius R defining the constraints as ( a) the truncated potential given by - Z/(r(n) + R-n)(1/ n), and (b) the radius of the impenetrable spherical wall. The net information measures for the two potentials are explicitly shown to be independent of the scaling of the set [ Z, R] at a fixed value of ZR. Analytic proof is presented, for the first time, showing the presence of a characteristic extremum in the variation of the net information entropy as a function of the radius R with its location scaling as Z(-1). Numerical results are presented which support the validity of the scaling properties.
 
Publisher IOP PUBLISHING LTD
 
Date 2011-10-15T07:40:25Z
2011-12-15T09:16:23Z
2011-10-15T07:40:25Z
2011-12-15T09:16:23Z
2007
 
Type Review
 
Identifier JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS,40(11)2147-2162
0953-4075
http://dx.doi.org/10.1088/0953-4075/40/11/016
http://dspace.library.iitb.ac.in/xmlui/handle/10054/13952
http://hdl.handle.net/100/3144
 
Language en