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Scattering theory for a class of fermionic Pauli-Fierz models
Authors:Zied Ammari
Affiliation:Fachbereich Mathematik (17), Johannes Gutenberg-Universität, 55099 Mainz, Germany
Abstract:The scattering theory for a class of fermionic Pauli-Fierz models is considered. We give a proof of the asymptotic completeness of the dynamics in the case of massive fermions. The result applied to the Hamiltonian of a quantized spin-View the MathML source Dirac particle interacting with an external field through a cutoff Yukawa interaction and to the Hamiltonian of a system of finitely many confined particles coupled to a fermionic field with a quadratic interaction.
Keywords:Quantum field theory   Fermion   Scattering theory   Asymptotic completeness
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