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Spectral and Scattering Theory¶of Spatially Cut-Off P(ϕ)2 Hamiltonians

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Abstract:

We study spatially cut-off P(ϕ)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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Authors and Affiliations

  1. Department of Mathematical Methods in Physics, Warsaw University, Hoża 74, 00-682 Warszawa, Poland, , , , , , PL

    J. Dereziński

  2. Centre de Mathématiques, UMR 7640 CNRS, Ecole Polytechnique, 91128 Palaiseau Cedex, France, , , , , , FR

    C. Gérard

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  1. J. Dereziński
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  2. C. Gérard
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Received: 25 June 1999 / Accepted: 9 February 2000

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Dereziński, J., Gérard, C. Spectral and Scattering Theory¶of Spatially Cut-Off P(ϕ)2 Hamiltonians. Commun. Math. Phys. 213, 39–125 (2000). https://doi.org/10.1007/s002200000233

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  • DOI: https://doi.org/10.1007/s002200000233

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