Asymptotic Completeness for a Renormalized Nonrelativistic Hamiltonian in Quantum Field Theory: The Nelson Model

Springer Science and Business Media LLC - Tập 3 - Trang 217-285 - 2000
Zied Ammari1
1Centre de Mathématiques, UMR 7640 CNRS, École Polytechnique, Palaiseau Cedex, France

Tóm tắt

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.

Tài liệu tham khảo

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