Damak M.
On the Spectral Theory of Dispersive N-Body Hamiltonians
(50K, LATeX 2e)
ABSTRACT. In this work we describe a general class of dispersive N-body
hamiltonians for which we prove the HWZ theorem and a Mourre
estimate outside a closed and countable set of energies
called thresholds. As a consequence of the Mourre estimate
we prove a strong form of the limiting absorption principle
which implies absence of singular continuous spectrum and gives
criteria of local smoothness.