Morse potential in relativistic contexts from generalized momentum operator: Schottky anomalies, Pekeris approximation and mapping

In this work, we explore a generalization of the Dirac and Klein–Gordon (KG) oscillators, provided with deformed linear momentum inspired in nonextensive statistics, that gives place to Morse potential relativistic contexts by first principles. (1 + 1)-dimensional case, oscillators are mapped into quantum potential. Using Pekeris approximation, (3 study thermodynamics S-waves states (l = 0) H 2 , LiH, HCl CO molecules (in non-relativistic limit) electron, where Schottky anomalies (due finiteness spectrum) spin contributions heat capacity reported. By revisiting generalized provide mapping from KG equations spherical an associated one-dimensional Schrödinger-like equation, obtain family potentials for which corresponds Schrödinger equation non-minimal coupling.