- 00-432 Vladimir Georgescu
- Spectral Analysis of Quantum Field Models with a Particle
Number Cutoff
(171K, Postscript)
Nov 6, 00
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Abstract. We determine the essential spectrum and prove the absence of singular
continuous spectrum for a class of boson quantum field models with
cutoffs. Our main purpose, however, is to show the power of an
algebraic technique based on the study of the $C^*$-algebra generated
by the operators which are natural candidates as hamiltonians of the
system in a given physical situation.
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