- 08-132 Sylvain Golenia
- Positive commutators, Fermi golden rule and the spectrum of zero
temperature Pauli-Fierz Hamiltonians.
Jun 27, 08
(auto. generated ps),
of related papers
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.