TY  - JOUR
A1  - Baumgärtel, Hellmut
T1  - A Characteristic decay semigroup for the resonances of trace class perturbations with analyticity conditions of semibounded hamiltonians
JF  - International journal of theoretical physic
N2  - To asymptotic complete scattering systems {M(+) + V, M(+)} on H(+) := L(2)(R(+), K, d lambda), where M(+) is the multiplication operator on H(+) and V is a trace class operator with analyticity conditions, a decay semigroup is associated such that the spectrum of the generator of this semigroup coincides with the set of all resonances (poles of the analytic continuation of the scattering matrix into the lower half plane across the positive half line), i.e. the decay semigroup yields a "time-dependent" characterization of the resonances. As a counterpart a "spectral characterization" is mentioned which is due to the "eigenvalue-like" properties of resonances.
KW  - Resonances
KW  - Scattering theory
KW  - Lax-Phillips theory
KW  - Decay semigroups
Y1  - 2011
U6  - https://doi.org/10.1007/s10773-010-0533-9
SN  - 0020-7748
VL  - 50
IS  - 7
SP  - 2002
EP  - 2008
PB  - Springer
CY  - New York
ER  -