Information-entropic measures of the confined Helium atom using the variational Monte Carlo method

In this work, we investigate several entropic and complexity measures, including the Shannon entropy, Fisher information, Tsallis entropy [Formula: see text] for [Formula: see text], and the disequilibrium D. In addition, we analyze the influence of the spherical confinement on the behavior of complexity measures, particularly, the Fisher–Shannon [Formula: see text] and López–Ruiz–Mancini–Calbet [Formula: see text] complexities. Within this framework, the ground state of the helium atom is studied under spherical confinement using the Variational Monte Carlo (VMC) method. One-electron expectation values of radial moments [Formula: see text] for [Formula: see text] as well as interelectronic moments [Formula: see text] over the same range of exponents are computed. The obtained results provide a detailed description of how information content, spatial distribution and structural complexity evolve as the confinement radius [Formula: see text] is varied, offering new insights into correlated confined quantum systems.