  We obtain the quantized momentum eigenvalues, $P_n$ , and the momentum
eigenstates for the space-like Schr\"odinger equation, the Feinberg-Horodecki
equation, with the general potential which is constructed by the temporal
counterpart of the spatial form of these potentials. The present work is
illustrated with two special cases of the general form: time-dependent Wei-Hua
Oscillator and time-dependent Manning-Rosen potential. We also plot the
variations of the general molecular potential with its two special cases and
their momentum states for few quantized states against the screening parameter.
