Instability of resonances under Stark perturbations

Arne Jensen, Kenji Yajima

Let $H^{\epsilon }=-\frac{d^2}{d{x}^2}+\epsilon x+V$, $\epsilon \ge 0$, on $L^2(\mathbf{R})$. Let $V={\sum }_{k=1}^N{c}_k|{\psi }_k⟩⟨{\psi }_k|$ be a rank $N$ operator, where the…