PHYSICA SCRIPTA, cilt.87, sa.4, 2013 (SCI-Expanded)
We have obtained the metric operator Theta = exp T for the non-Hermitian Hamiltonian model H = omega (a(dagger)a + 1/2) + alpha (a(2) - a(dagger 2)). We also found the intertwining operator that connects the Hamiltonian to the adjoint of its pseudo-super-symmetric partner Hamiltonian for the model of the hyperbolic Rosen-Morse II potential.