Eigenvalue and Eigenfunction for the $PT$-symmetric Potential $V=-(ix{)}^N$

Cheng Tang, Andrei Frolov

The real energy spectrum from the $PT$-symmetric Hamiltonian $H=p^2-(ix{)}^N$ with $x\in \mathbb{C}$ was examined within one pair of Stokes wedges in 1998 by Bender and Boettcher.…