Vladimir Georgescu
On the Spectral Analysis of Quantum Field Hamiltonians
(649K, PDF)

ABSTRACT.  We define C*-algebras on a Fock space such that the Hamiltonians 
of quantum field models with positive mass are affiliated to 
them. We describe the quotient of such algebras with respect to the 
ideal of compact operators and deduce consequences in the spectral 
theory of these Hamiltonians: we compute their essential spectrum 
and give a systematic procedure for proving the Mourre estimate.