- 98-745 Jan Derezi\'nski, Christian G\'erard
- Spectral and scattering theory of spatially cut-off
$P(\varphi)_{2}$ Hamiltonians
(463K, DVI file)
Dec 7, 98
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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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