The discrepancy among one-electron and two-electron densities for diverse N-electron
atomss, enclosing neutral systems (with nuclear charge Z= N) and charge-one ions (| N− Z …

Finite quantum many fermion systems are essential for our current understanding of Nature.
They are at the core of molecular, atomic, and nuclear physics. In recent years, the …

As a measure of randomness or uncertainty, the Boltzmann–Shannon entropy H has
become one of the most widely used summary measures of a variety of attributes …

Energy eigenvalues of ground and singly excited 1 sns (S 1, 3)(n= 2− 5, being the principal
quantum number) states of a He atom in a quantum dot have been investigated in detail by …

Interaction information, a measure of higher-order statistical correlations, is examined in
quantum systems consisting of three coupled and uncoupled oscillators, in position and in …

This article investigates the behavior of a Moshinsky atom in a 1D harmonic trap. Focus is
given on the theoretical foundations of confinement and its impact on the correlation …

Jensen–Shannon divergence is used to quantify the discrepancy between the Hartree–Fock
pair density and the product of its marginals for different N-electron systems, enclosing …

Analytical expressions for pair and higher‐order mutual information measures in position
and momentum space are examined for many‐particle (NN) coupled oscillator systems in …

The statistical correlation between a pair of electrons in Hartree–Fock orbitals is measured
by mutual information and studied in position and in momentum space. We show that there …

Entropic uncertainty and statistical correlation measures, based on survival and cumulative
densities, are explored in some representative quantum systems. We illustrate how the …