00-43 Zied Ammari

Asymptotic completeness for a renormalized non-relativistic Hamiltonian in quantum field theory: the Nelson model. (749K, Postscript) Jan 26, 00

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Abstract. Scattering theory for the Nelson model is studied. We show Rosen estimates and we prove the existence of a ground state for the Nelson Hamiltonian. Also we prove that it has a locally finite pure point spectrum outside its thresholds. We study the asymptotic fields and the existence of the wave operators. Finally we show asymptotic completeness for the Nelson Hamiltonian.

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