Information-theoretic measures and thermodynamic properties under magnetic and Aharonov–Bohm flux fields

We investigated the effects of external magnetic and Aharonov–Bohm flux fields on thermodynamic properties, Fisher, Shannon Rényi information-theoretic measures using non-relativistic Schrödinger equation with a Varshni-type potential. adopted parametric Nikiforov–Uvarov approach to obtain analytical bound states in closed form. The functions such as free energy, specific heat capacity, vibrational entropy mean energy were analyzed. Also, results for 2D Fisher's measure obey inequality $$I\left(\rho \right)I\left(\gamma \right)\ge 16$$ . entropies sum applied lithium hydride (LiH) diatomic molecule obeys $${R}_{2}\left(\rho \right)$$ + $${R}_{2/3}\left(\gamma $$ 4.19926 system. global LiH is verified. applications found strongly influence splitting overlaps, measures. may aid understanding dynamics quantum particles molecules fields.