A finite size scaling method was developed for analyzing the criticality of Shannon-information entropy for quantum Hamiltonian. Critical exponents of the Shannon-information entropy, electronic energy, and the correlation length for atoms, with the variable inverse of the nuclear charge, were also analyzed. It was found that the bound state energies got absorbed or degenerated with continuum states at the critical points. The results show that entropies reach at their maximum value which indicates the maximum delocalization of the electronic wave functions.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics