FIGURE CAPTIONS: FIG. 1: Plot of the potential v$_{1}$ for the cases for (a) periodic and (b) quasiperiodic, for ϵ = 0 . 5 e ω$_{0}$ = 1 . FIG. 2: Plot of | ψ$_{1}$ | 2 (Eq. (20)) for the two cases (a) periodic and (b) quasiperiodic, for n = 1 , ϵ = 0 . 5 and ω$_{0}$ = 1 . FIG. 3: Plot of the potential v ( x, t ) (Eq. (23)) for the cases (a) periodic and (b) quasiperiodic, for γ = 6 , ϵ = 0 . 5 and ω$_{0}$ = 1 . FIG. 4: Plot of | ψ$_{1}$ | 2 (Eq. (26)) for the (a) periodic and (b) quasiperiodic, for γ = 6 , ϵ = 0 . 5 and ω$_{0}$ = 1 . FIG. 5: Plot of the potential v ( x, t ) (Eq. (10)) for the cases (a) periodic and (b) quasiperiodic. FIG. 6: Plot of the potentials show in Fig. 5 for x small. In (a) we display the case periodic, and in (b) the quasiperiodic case is shown. FIG. 7: Plot of | ψ$_{1}$ | 2 (Eq. (35)) for the cases (a) periodic and (b) quasiperiodic. FIG. 8: Plot of | ψ$_{2}$ | 2 (Eq. (36)) for the cases (a) periodic and (b) quasiperiodic. 10