Positive Commutators and Spectrum of Nonrelativistic QED

In this paper we consider the Hamiltonian of the standard model of nonrelativistic QED. In this model non-relativistic quantum particles interact with quantized electro-magnetic field and their interaction is subjected to an ultra-violet cut-off. We prove absence of excited states and absolute continuity of the spectrum for sufficiently small charges under conditions on the coupling functions which milder than those of [2]. We use the method of positive commutators with the "conjugate" operator deformed appropriately in order to accomodate the interaction term