TL;DR
This paper explores the Poeschl-Teller potential well, revealing four solvable models and clarifying paradoxes in supersymmetric quantum mechanics within the classically forbidden regime.
Contribution
It introduces four solvable generalizations of the Poeschl-Teller potential and resolves related paradoxes in SUSY quantum mechanics.
Findings
Four solvable Poeschl-Teller models identified
Clarification of SUSY paradoxes in forbidden regimes
Enhanced understanding of PT-symmetric regularization
Abstract
Poeschl-Teller trigonometric potential well is PT symmetrically regularized at its "impenetrable" end-point barriers. This gives the four different solvable generalizations of the model and enables us to clarify some paradoxes encountered, in the SUSY context, in the classically forbidden coupling regime.
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