Scattering theory for a class of fermionic Pauli-Fierz models. (Q1429822)

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.