  Among the list of one dimensional solvable Hamiltonians, we find the
Hamiltonian with the Rosen--Morse II potential. The first objective is to
analyze the scattering matrix corresponding to this potential. We show that it
includes a series of poles corresponding to the types of redundant poles or
anti-bound poles. In some cases, there are even bound states and this depends
on the values of given parameters. Then, we perform different supersymmetric
transformations on the original Hamiltonian either using the ground state (for
those situations where there are bound states) wave functions, or other
solutions that come from anti-bound states or redundant states. We study the
properties of these transformations.
