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

Zafar Ahmed, Amal Nathan Joseph

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, \(p^2/2m+V(x)\), is pseudo-Hermitian could be challenging, if possible.

http://arxiv.org/abs/1411.3231
Quantum Physics (quant-ph); Mathematical Physics (math-ph)

Add Your Comments