In this review we discuss quantum phase transitions and the mapping between symmetry
breaking of electronic structure configurations at the large-dimension limit and mean-field …

The critical nuclear charge Z c of the two-electron atoms below which the ground state
transforms into a shape resonance and the critical stability of the system around Z c have …

We show how the finite‐size scaling ansatz can be combined with the variational method to
extract information about critical behavior of quantum Hamiltonians. This approach is based …

The critical behavior of entanglement near a quantum phase transition has been studied
intensely over the past few years. Few-body quantum systems show critical behavior near …

We have developed the finite size scaling method to treat the criticality of Shannon-
information entropy for any given quantum Hamiltonian. This approach gives very accurate …

Discontinuous changes in the electronic structure upon infinitesimal changes to the
Hamiltonian are demonstrated. These are revealed in one and two electron molecular …

One‐particle model with a spherically‐symmetric screened Coulomb potential is proposed
to describe the motion of a loosely bound electron in a multielectron atom when the nuclear …

We applied the finite-size scaling method using the B-splines basis set to construct the
stability diagram for two-electron atoms with a screened Coulomb potential. The results of …

The finite-size scaling method is used to calculate the critical parameters for the lithium
isoelectronic series. The critical nuclear charge, which is the minimum charge necessary to …

Atomic Shannon information entropies are computed using Hyllerass-type basis functions
for the helium isoelectronic series. As one varies the nuclear charge Z for the two-electron …