Symmetry of Bound and Antibound States in the Semiclassical Limit for a General Class of Potentials

Semyon Dyatlov, Subhroshekhar Ghosh

We consider the semiclassical Schrödinger operator $-h^2{\partial }_x^2+V(x)$ on a half-line, where $V$ is a compactly supported potential which is positive near the endpoint of its s…