Oran Gannot, Northwestern University – Wunsch/PDE Mini-school

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Title: Scattering resonances generated by diffractive trapping

Abstract: In potential scattering where classical particles with a certain energy escape to infinity, it is expected that quantum states with neighboring energies decay rapidly in time. We will discuss some known results where the decay rate depends on the regularity of the potential. In cases where irregularities of the potential occur along an interface, the decay rate can be understood in terms of the strength of diffractive effects. We will illustrate this explicitly in one dimensional examples.