The Gazeau–Klauder coherent states for the trigonometric Rosen–Morse potential are constructed. It is shown that the resolution of unity, temporal stability, and action identity conditions are satisfied for the coherent states. The Mandel parameter is also calculated for the weighting distribution function corresponding to the coherent states.
The Barut-Girardello coherent states for the parabolic cylinder functions are constructed. It is shown that the resolution of unity condition is satisfied for the coherent states. In the Hilbert space spanned by the parabolic cylinder eigenstates, the appropriate measure is also obtained.
The Barut-Girardello and Klauder-Perelomov coherent states for the Kravchuk functions are constructed. It is shown that the resolution of unity condition is satisfied for both of the coherent states. Also in the N+1-dimensional Hilbert space spanned by the Kravchuk eigenstates, the appropriate measure and analytic function are obtained.
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