Operator based approach to PT-symmetric problems on a wedge-shaped contour

Florian Leben, Carsten Trunk

We consider a second-order differential equation $$-y^{\prime \prime }(z)-(iz{)}^{N+2}y(z)=\lambda y(z),z\in \Gamma$$ with an eigenvalue parameter $\lambda \in \mathbb{C}$. In $\mathcal{P}\mathcal{T}$ quantum mechanics…