Resonances for a semi-classical Schrödinger operator near a non-trapping energy level
Resonances for a semi-classical Schrödinger operator near a non-trapping energy level
We give an example of a short range potential F on the real line that is dilation analytic at infinity, non trapping at energy E>0, but oscillating in the neighborhood of some points, so rapidly that the Schrödinger operator P=-\_h\_2Δ+V shows a string of resonances near E in the lower …