- 97-268 Bach, V., Frohlick, J., Sigal, I.M., Soffer, A.
- Positive Commutators and Spectrum of Nonrelativistic QED
(290K, postscript)
May 14, 97
-
Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers
-
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.
- Files:
97-268.ps