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

2014/11/12 by Zafar Ahmed, Ahmed, Zafar, Joseph Amal Nathan +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.1411.3231

In this version Eq.(19) and two last but one paragraphs have been added. To appear in Phys. Lett. A

openalex publication_date 2014/11/12 · arxiv created 2015/01/20 · arxiv updated 2015/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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, p²/2m+V(x), in the new cases is pseudo-Hermitian could be challenging, if possible.

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