$\mathcal{P}\mathcal{T}$-Supersymmetric Square Well and Barrier

Abstract

The Parity-Time ($\mathcal{P}\mathcal{T}$) symmetric potentials are derived by non-Hermitian supersymmetric quantum mechanics for square well and barrier. These $\mathcal{P}\mathcal{T}$-supersymmetric square well and barrier. The partners have complex partners. The partners are isospectral with real energies. $\mathcal{P}\mathcal{T}$-symmetry is only unbroken for the bound states.