Comments on “Gazeau–Klauder coherent states for trigonometric Rosen–Morse potential” [J. Math. Phys. 49, 022104 (2008)].

In a recently published paper in this journal [A. Cheaghlou and O. Faizy, J. Math. Phys. 49, 022104 (2008)], the authors introduce the Gazeau–Klauder coherent states for the trigonometric Rosen–Morse potential as an infinite superposition of the wavefunctions. It is shown that their proposed measure to realize the resolution of the identity condition is not positive definite. Consequently, the claimed coherencies for the trigonometric Rosen–Morse wavefunctions cannot actually exist. [ABSTRACT FROM AUTHOR]