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We propose a generalized su(2) algebra that perfectly describes the discreteenergy part of the Morse potential. Then, we examine particular examples andthe approach can be applied to any Morse oscillator and to practically anyphysical system whose spectrum is finite. Further, we construct the Klaudercoherent state for Morse potential satisfying the resolution of identity with apositive measure, obtained through the solution of truncated Stieltjes momentproblem. The time evolution of the uncertainty relation of the constructedcoherent states is analyzed. The uncertainty relation is more localized forsmall values of radius of convergence.

Construction of coherent states for Morse potential: A su(2)-like approach