Semiclassical tunneling for some 1D Schrödinger operators with complex-valued potentials

Martin Averseng, Nicolas Frantz, Frédéric Hérau +1

We consider the non-selfadjoint, semiclassical Schrödinger operator $\mathcal{L}(h):=-h^2{\partial }_x^2+e^{i\hat{I}\pm }V$, where $\hat{I}\pm \in (-\ddot{I}€,\ddot{I}€)$ and $V:\mathbb{R}\to {\mathbb{R}}_{+}$ is ev…