Path integral solutions for deformed Poschl-Teller-like and conditionally solvable potentials

I discuss in this paper the behaviour of the solutions of the so-called q-hyperbolic potentials, i.e. Poschl-Teller-like and conditionally solvable potentials, in terms of the path integral formalism. The differences in comparison to the usual Poschl-Teller-like potentials are investigated, including the discrete energy spectra and the bound-state wavefunctions. We also point out the relation of the q-deformation with curvature on hyperboloids.