Space-time picture of semiclassical resonances (Q1193086)

This paper is devoted to the theory of quasiclassical resonances for Schrödinger operators with potentials which are smooth outside some possible local singularities. The authors introduce a notion of quasiresonance similar to that of quasimode, but incorporating a condition revealing its scattering nature and describe its space-time behaviour. The definition is given in terms of the original Schrödinger operator and uses the notion of frequency set. The authors demonstrate how quasiresonances arise in several natural situations.