08-132 Sylvain Golenia

Positive commutators, Fermi golden rule and the spectrum of zero temperature Pauli-Fierz Hamiltonians. (117K, tex) Jun 27, 08

Abstract , Paper (src), View paper (auto. generated ps), Index 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.

Files: 08-132.src( 08-132.comments , 08-132.keywords , pf.tex )