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Scaling properties of composite information measures and shape complexity for hydrogenic atoms in parallel magnetic and electric fields

DSpace at IIT Bombay

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Title Scaling properties of composite information measures and shape complexity for hydrogenic atoms in parallel magnetic and electric fields
 
Creator GONZALEZ-FEREZ, R
DEHESA, JS
PATIL, SH
SEN, KD
 
Subject uncertainty relations
entropic uncertainty
fisher-information
mathematical-theory
coulomb potentials
avoided crossings
radial position
systems
momentum
finite
atoms under external fields
shannon entropy
renyi entropy
fisher information
shape complexity
avoided crossings
 
Description The scaling properties of various composite information-theoretic measures (Shannon and Renyi entropy sums, Fisher and Onicescu information products, Tsallis entropy ratio, Fisher-Shannon product and shape complexity) are studied in position and momentum spaces for the non-relativistic hydrogenic atoms in the presence of parallel magnetic and electric fields. Such measures are found to be invariant at the fixed values of the scaling parameters given by s(1) = Bh(3)(4 pi epsilon(0))(2)/Z(2)m(2)e(3) and s(2) = Fh(4)(4 pi epsilon(0))(3)/Z(3)e(5)m(2). Numerical results which support the validity of the scaling properties at shown by choosing the representative example of the position space shape complexity. Physical significance of the resulting scaling behavior is discussed. (C) 2009
 
Publisher ELSEVIER SCIENCE BV
 
Date 2011-07-26T15:31:24Z
2011-12-26T12:54:57Z
2011-12-27T05:43:23Z
2011-07-26T15:31:24Z
2011-12-26T12:54:57Z
2011-12-27T05:43:23Z
2009
 
Type Article
 
Identifier PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 388(23), 4919-4925
0378-4371
http://dx.doi.org/10.1016/j.physa.2009.08.007
http://dspace.library.iitb.ac.in/xmlui/handle/10054/6945
http://hdl.handle.net/10054/6945
 
Language en