Application of the Sturm–Liouville theorem and shape invariance formalism to the Dirac equation with hyperbolic like potential

We use a simple algebraic formalism, i.e., based on the Sturm–Liouville theorem and shape invariance formalism, to study the energy spectra for Dirac equation with scalar and vector hyperbolic like potentials. The Rosen–Morse and Eckart potentials as typical models are performed to show the advantage of this method.