Feinberg-Horodecki Equation with P\"oschl-Teller Potential: Space-like Coherent States

We obtain the quantized momentum solutions, ${\mathcal{P}}_n$, of the Feinberg-Horodecki equation. We study the space-like coherent states for the space-like counterpart of the Schr"odinger equation with trigonometric P"oschl-Teller potential which is constructed by temporal counterpart of the spatial P"oschl-Teller potential.