Deformation parameter's effects on quantum information measures

Abstract

This study explores the influence of deformation parameters on quantum information measures using the q-deformed Hulthén-quadratic exponential-type potential. By solving the Schrödinger equation with the parametric Nikiforov-Uvarov (pNU) method, the energy spectrum and wavefunctions were derived. Quantum information measures, including Shannon entropy and Fisher information, were analyzed for ground states in position and momentum spaces. The results validate the Berkner, Bialynicki-Birula, and Mycieslki, and Stam-Cramér-Rao inequalities, underscoring their consistency with quantum principles. These findings deepen our understanding of deformation effects on quantum systems and offer potential applications in astrophysics and quantum chemistry, advancing the exploration of molecular systems and quantum information theory.