Degeneracy and coherent states of the two-dimensional Morse potential

In this paper we construct coherent states for the two-dimensional Morse potential. We find dependence of spectrum on physical parameters and use to understand emergence accidental degeneracies. It is observed that, under certain conditions pertaining irrationality parameters, degeneracies do not appear as such energy levels are at most twofold degenerate. After defining a non-degenerate set 2D potential, generalised discuss spatial distribution their probability densities uncertainty relations.