%0 Journal Article
%T Symmetry of Bound and Antibound States in the Semiclassical Limit for a General Class of Potentials
%A Semyon Dyatlov
%A Subhroshekhar Ghosh
%J Mathematics
%D 2009
%I arXiv
%R 10.1090/S0002-9939-2010-10519-1
%X We consider the semiclassical Schr\"odinger 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 support. We prove that the eigenvalues and the purely imaginary resonances are symmetric up to an error $Ce^{-\delta/h}$.
%U http://arxiv.org/abs/0911.4282v1