Realizing the Underlying Quantum Dynamical Algebra SU（2） in Morse Potential

Exactly solvable models are important in quantum physics. Usually, there are some underlying quantum dynamical algebras （QDA） inherit in these physical models. For instance, the QDA SU（1, 1） has been revealed in some important one-dimensional exactly solvable potentials, such as the harmonic oscillator, PSsehl-Teller potential, the radial Kratzer molecular potential, etc. However, the case for the one-dimensional Morse potential has not been studied in Ref. . Namely, whether the Morse potential possesses an QDA SU（1, 1） or not is still an open problem.