一类一般势的束缚态和反束缚态在半经典极限下的对称性
Symmetry of Bound and Antibound States in the Semiclassical Limit for a General Class of Potentials
摘要：
考虑半直线上的半经典薛定谔算子$-h^2\partial_x^2+V(x)$，其中$V$是紧支势，在其支点附近为正.我们证明了本征值和纯虚共振是对称的错误$Ce^{-δ/h}$。
英文摘要：
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 support. We prove that the eigenvalues and the purely imaginary resonances are symmetric up to an error $Ce^{-δ/h}$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
