Symmetry of bound and antibound states in the semiclassical limit

Details Symmetry of bound and antibound states in the semiclassical limit Symmetry of bound and antibound states in the semiclassical limit

2007-02-23

arxiv.org/abs/math-ph/0702083v1

Physics

Mathematical Physics

Scientific paper

10.1007/s11005-007-0178-7

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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