An update on PT-symmetric complexified Scarf II potential, spectral singularities and some remarks on the rationally-extended supersymmetric partners

B. Bagchi, C. Quesne

The $\mathcal{P}\mathcal{T}$-symmetric complexified Scarf II potential $V(x)= - V_1 \sech^{2}x + {\rm i} V_2 \sech x \tanh x$, $V_1>0$ , $V_2\ne 0$ is revisited to study the interplay among it…