ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract In this paper we prove results in resonance scattering for the Schrödinger operatorP v=−h 2Δ+V, V being a smooth, short range potential onR n . More precisely, for energy λ near a trapping energy level λ0 for the classical system defined by the Hamiltonianp(x,ζ)=ζ 2+V(x), we prove that the scattering phase and the scattering cross sections associated to (P v, P0) have the Breit-Wigner form (“Lorentzian line shape”) in the limith→0.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01217809
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