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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