Metric operator for the non-Hermitian Hamiltonian model and pseudo-super-symmetry

We have obtained the metric operator Θ= expT for the non-Hermitian Hamiltonian model H=ω(a†a+1/2)+α(a2-a†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. (paper)