97-268 Bach, V., Frohlick, J., Sigal, I.M., Soffer, A.
Positive Commutators and Spectrum of Nonrelativistic QED (290K, postscript) May 14, 97
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Abstract. In this paper we consider the Hamiltonian of the standard model of non-relativistic 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 \cite{BachFroehlichSigal1996a}. We use the method of positive commutators with the ``conjugate'' operator deformed appropriately in order to accomodate the interaction term.

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