Shannon entropies and Fisher information of K-shell electrons of neutral atoms

5^th World Congress on Physics

July 17-18, 2018 Prague, Czech Republic

Golam Ali Sekh, A Saha and B Talukdar

B B College, India

Posters & Accepted Abstracts: J Laser Opt Photonics

Abstract :

We represent the two K-shell electrons of neutral atoms by Hylleraas-type wave function which fulfills the exact behavior at the electron–electron and electron-nucleus coalescence points and derive a simple method to construct expressions for singleparticle position and momentum-space charge densities, ρ(r) and γ(p) respectively. We use the results for ρ(r) and γ(p) to critically examine the effect of correlation on bare (uncorrelated) values of Shannon information entropies (S) and of Fisher information (F) for the K-shell electrons of atoms from helium to neon. Due to inter-electronic repulsion, the values of the uncorrelated Shannon position-space entropies are augmented while those of the momentum-space entropies are reduced. The corresponding Fisher information is found to exhibit opposite behavior with respect to this. Attempts are made to provide some plausible explanations for the observed response of S and F to electronic correlation.

Biography :

E-mail: skgolamali@gmail.com