Sylvain Golenia
Positive commutators, Fermi golden rule and the spectrum of zero 
temperature Pauli-Fierz Hamiltonians.
(117K, tex)

ABSTRACT.  We perform the spectral analysis of a zero temperature Pauli-Fierz 
system for small coupling constants. Under the hypothesis of Fermi golden 
rule, we show that the embedded eigenvalues of the uncoupled system 
disappear and establish a limiting absorption principle above this level of energy. We rely on a positive commutator approach introduced by 
Skibsted and pursued by Georgescu-Gerard-Moeller. We complete some 
results obtained so far by Derezinski-Jaksic on one side and by 
Bach-Froehlich-Segal-Soffer on the other side.