- 00-43 Zied Ammari
- Asymptotic completeness for a renormalized non-relativistic Hamiltonian in quantum field theory: the Nelson model.
Jan 26, 00
(auto. generated ps),
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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.