Metric Operator For The Non-Hermitian Hamiltonian Model and Pseudo-Supersymmetry

Abstract

We have obtained the metric operator $Θ=\exp T$ for the non-Hermitian Hamiltonian model $H=ω(a^†a+1/2)+α(a^{2}-a^{†^{2}})$. We have also found the intertwining operator which connects the Hamiltonian to the adjoint of its pseudo-supersymmetric partner Hamiltonian for the model of hyperbolic Rosen-Morse II potential.