Jan Derezi\'nski, Christian G\'erard
Spectral and scattering theory of spatially cut-off 
 $P(\varphi)_{2}$ Hamiltonians
(463K, DVI file)

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.