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Scattering theory for a class of fermionic Pauli–Fierz models

Zied Ammari

subject

Fermionic fieldHigh Energy Physics::LatticeScattering theoryFermionYukawa interactionQuantum field theorysymbols.namesakePauli exclusion principleQuadratic equationQuantum mechanicssymbolsAsymptotic completenessScattering theoryQuantum field theoryHamiltonian (quantum mechanics)FermionAnalysisMathematical physicsMathematics

description

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- 1 2 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.

10.1016/s0022-1236(03)00217-9http://dx.doi.org/10.1016/s0022-1236(03)00217-9