“…Such a kind of supersymmetry of the pairs of reflectionless systems was not investigated yet in the literature, but, instead, supersymmetry of the pairs (H + = H j , H − = H j+l ), l ≥ 1, belonging to the same Darboux chain (2.12) is usually considered. In particular, the pairs of reflectionless Pöschl-Teller systems, see below, appear in the context of shape-invariance [43,44,7], they also emerge in the infinite-period limit of finite-gap periodic crystal structures [22,24]. Supersymmetry of reflectionless Pöschl-Teller pairs (H j , H j+l ) was studied recently from the perspective of AdS/CFT holography and Aharonov-Bohm effect [45].…”