Scattering theory for a class of fermionic Pauli-Fierz models.
type: Item
instance of: scholarly article
title: Scattering theory for a class of fermionic Pauli-Fierz models.
zbMATH Open document ID: 1050.81069
DOI: 10.1016/S0022-1236(03)00217-9
author: Z. Ammari
published in: Journal of Functional Analysis
publication date: 2004-05-27T00:00:00Z
review text: The author proves the existence and asymptotic completeness of the wave operators for a class of fermionic Pauli-Fierz models, where the underlying Hilbert space is the antisymmetric Fock space and the Hamiltonian is a selfadjoint operator bounded below with compact resolvent. Further, the interaction is assumed regular and short range and the fermion dispersion relation satisfies certain smoothness and diagonalizability requirements. Examples where the theory applies are the Hamiltonian of a quantized spin-\({1}\over{2}\) Dirac particle interacting with an external field through a cutoff Yukawa interaction and the Hamiltonian of a system of finitely many confined particles coupled to a fermionic field with a quadratic interaction.
Mathematics Subject Classification ID: 81U20
Mathematics Subject Classification ID: 81T05
Mathematics Subject Classification ID: 81U05
Mathematics Subject Classification ID: 81U10
Mathematics Subject Classification ID: 81U30
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 47A40
zbMATH DE Number: 2066771
zbMATH Keywords: quantum field theory
zbMATH Keywords: fermion
zbMATH Keywords: scattering theory
zbMATH Keywords: wave operator
zbMATH Keywords: asymptotic completeness
zbMATH Keywords: antisymmetric Fock space
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2066771