Dirac equation with Morse potetnial under the influence of position-dependent mass and local Fermi velocity

Abstract

We solve the one-dimensional Dirac equation by taking into account the possibility of position-dependence in the mass function. We also take the Fermi velocity to act as a local variable and examine the combined effects of the two on the solvability of the Dirac equation with respect to the Morse potential. Our results for the wave functions and the energy levels corresponding to such an extended scheme are furnished in closed forms.

Quantum Fest 2021 contribution: International Conference on Quantum Phenomena, Quantum Control and Quantum Optics, virtually held at Cinvestav Mexico, 25/10-29/10 2021 (Eds. Marco Enríquez, Sara Cruz y Cruz, Francisco Delgado, Víctor Manuel Velázquez, Journal of Physics: Conference Series (IoP Publishing))