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- W2788500391 abstract "The $cal PT$-symmetric complexified Scarf II potential $V(x)= - V_1 sech^{2}x + {rm i} V_2 sech x tanh x$, $V_1>0$ , $V_{2}neq 0$ is revisited to study the interplay among its coupling parameters. The existence of an isolated real and positive energy level that has been recently identified as a spectral singularity or zero-width resonance is here demonstrated through the behaviour of the corresponding wavefunctions and some property of the associated pseudo-norms is pointed out. We also construct four different rationally-extended supersymmetric partners to $V(x)$, which are $cal PT$-symmetric or complex non-$cal PT$-symmetric according to the coupling parameters range. A detailed study of one of these partners reveals that SUSY preserves the $V(x)$ spectral singularity existence." @default.
- W2788500391 created "2018-03-06" @default.
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- W2788500391 date "2010-02-23" @default.
- W2788500391 modified "2023-09-27" @default.
- W2788500391 title "An update on PT-symmetric complexified Scarf II potential" @default.
- W2788500391 hasPublicationYear "2010" @default.
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