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

@article{Gomez2020MorsePI,
  title={Morse potential in relativistic contexts from generalized momentum operator: Schottky anomalies, Pekeris approximation and mapping},
  author={Ignacio S. Gomez and Esdras S. Santos and Olavo Abla},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
In this work we explore a generalization of the Dirac and Klein-Gordon (KG) oscillators, provided with a deformed linear momentum inspired in nonextensive statistics, that gives place to the Morse potential in relativistic contexts by first principles. In the (1+1)-dimensional case the relativistic oscillators are mapped into the quantum Morse potential. Using the Pekeris approximation, in the (3+1)-dimensional case we study the thermodynamics of the S-waves states (l=0) of the H2, LiH, HCl and… 
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