MPS-RR 1998-32
December 1998

Spectral and scattering theory of spatially cut-off $P(varphi)_{2}$ Hamiltonians

by:

J. Derezinski, C. Gérard

Abstract

We study spatially cut-off $P(varphi)_2$ Hamiltonians. We show the local finiteness of the pure point spectrum outside of thresholds, the limiting absorption principle and asymptotic completeness of scattering for such Hamiltonians. Our results imply the absence of singular continuous spectrum.

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This paper has now been published in Commun. Math. Phys. 213, 39-125 (2000)