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arXiv · 1411.3231

Real discrete spectrum in the complex non-PT-symmetric Scarf II potential

Zafar Ahmed·Joseph Amal Nathan
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Abstract

Hitherto, it is well known that complex PT-symmetric Scarf II has real discrete spectrum in the parametric domain of unbroken PT-symmetry. We reveal new interesting complex, non-PT-symmetric parametric domains of this versatile potential, $V(x)$, where the spectrum is again discrete and real. Showing that the Hamiltonian, $p^2/2m+V(x)$, in the new cases is pseudo-Hermitian could be challenging, if possible.

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Zafar Ahmed, Joseph Amal Nathan. 2014-11-12. Real discrete spectrum in the complex non-PT-symmetric Scarf II potential. https://arxiv.org/abs/1411.3231

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