  Morse oscillator is one of the known solvable potentials which attracts many
applications in quantum mechanics especially in quantum chemistry. One of the
interesting results of this study is the generation of ladder operators for
Morse potential. The operators are a representation of the shifting energy
levels of the states exhibited by the wavefunction. From this result, we
manipulate and deform the operators in such a way that it gives a
noncommutative property to promote noncommutative quantum mechanics (NCQM). The
resultant NC feature can be shown in the spatial coordinates and finally the
Hamiltonian. In this study, we consider two-dimensional Morse potential where
the ladder operators are in the form of the corresponding 2D Morse.
