Frédéric Hérau

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

We consider the non-selfadjoint, semiclassical Schrödinger operator \mathscr{L}(h) := -h^{2}\partial_{x}^{2}+e^{i\alpha}V , where \alpha \in (-\pi,\pi) and V\colon \R\to \R_{+} is even and vanishes at exactly two (symmetric) non-degenerate minima. We establish a semiclassical tun...