Deformed Morse-like potential

We introduce an exactly solvable one-dimensional potential that supports both bound and/or resonance states. This is a generalization of the well-known 1D Morse where we introduced deformation preserves finite spectrum property. On other hand, in limit zero deformation, reduces to exponentially confining well recently by A. D. Alhaidari. The latter infinite which means critical point our system will transition from limit. solve corresponding Schrodinger equation and obtain energy eigenstates using tridiagonal representation approach.