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

Zafar Ahmed; Joseph Amal Nathan

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

Quantum Physics 2015-01-21 v3 Mathematical Physics math.MP

Authors: Zafar Ahmed , Joseph Amal Nathan

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.

Keywords

Scarf II potential PT-symmetry real discrete spectrum non-PT-symmetric pseudo-Hermitian Hamiltonian complex potential

Cite

@article{arxiv.1411.3231,
  title  = {Real discrete spectrum in the complex non-PT-symmetric Scarf II potential},
  author = {Zafar Ahmed and Joseph Amal Nathan},
  journal= {arXiv preprint arXiv:1411.3231},
  year   = {2015}
}

Comments

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

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

Abstract

Keywords

Cite

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