Seminario del 2008

2008
03 novembre
Setsuro Fujie, Hyogo University, Himeji, Giappone
nell'ambito della serie: SEMINARI DI FISICA MATEMATICA
Seminario di fisica matematica
We study the spectral projection associated to a barrier-top resonance for the semi-classical Schroedinger operator. First, we prove a resolvent estimate for complex energies close to such a resonance. Using this estimate and an explicit representation of the resonant states, we show that the spectral projection has a semi-classical expansion in integer powers of h and compute its leading term. We use this result to compute the residue of the scattering amplitude at a resonance. We also give an expansion of the Schroedinger group in terms of these resonances.

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