Resonance expansions in semi-classical propagation. (English) Zbl 1042.81582

Burq, Nicolas; Zworski, Maciej

Commun. Math. Phys. 223, No. 1, 1-12 (2001).

Summary: We present a long time expansion of a semi-classical propagation in terms of resonances close to the real axis. Our method also gives an expansion of scattered classical waves in terms of scattering poles to the real axis.

MSC:

81Q20	Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
81U05	\(2\)-body potential quantum scattering theory
47A10	Spectrum, resolvent
47B25	Linear symmetric and selfadjoint operators (unbounded)
47B38	Linear operators on function spaces (general)
47F05	General theory of partial differential operators

Keywords:

resonances close to the real axis; scattering poles