https://doi.org/10.1140/epjp/i2018-11847-9
Regular Article
Fisher information of two-electron systems
1
Department of Physics, Visva-Bharati University, 731235, Santiniketan, India
2
Department of Chemistry, Visva-Bharati University, 731235, Santiniketan, India
* e-mail: binoy123@bsnl.in
Received:
8
August
2017
Accepted:
28
December
2017
Published online:
22
January
2018
We present a theoretical model to compute numbers for position- and momentum-space Fisher information ( 
and 
of correlated two-electron systems. The numbers for the first five members of the helium iso-electronic sequence indicate that i) values of increase with the atomic number Z while those of decrease, and, ii) the effect of correlation reduces (increases) the bare values of 
. The observed behavior of Fisher information in i) and ii) is opposite to that exhibited by Shannon information entropy, presumably because in describing disorder in the probability distribution, the former is convex while the latter is concave. The information measures of Fisher and of Shannon have also been found to share some common properties, the origin of which is purely physical rather than statistical.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018
