Bender-Wu singularities

Riccardo Giachetti, Vincenzo Grecchi

We consider a family of quantum Hamiltonians $H_{\hslash }=-{\hslash }^2(d^2/d{x}^2)+V(x)$, $x\in \mathbb{R},$ $\hslash >0,$ where $V(x)=i(x^3-x)$ is an imaginary double well potential. We pr…