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Symmetry of bound and antibound states in the semiclassical limit

David Bindel·Maciej Zworski
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Abstract

We consider one dimensional scattering and show how the presence of a mild positive barrier separating the interaction region from infinity implies that the bound and antibound states are symmetric modulo exponentially small errors in 1/h. This simple result was inspired by a numerical experiment and we describe the numerical scheme for an efficient computation of resonances in one dimension.

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David Bindel, Maciej Zworski. 2007-02-23. Symmetry of bound and antibound states in the semiclassical limit. https://doi.org/10.1007/s11005-007-0178-7

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