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

DOI10.1016/S0022-1236(03)00217-9zbMath1050.81069MaRDI QIDQ1429822

Zied Ammari

Publication date: 27 May 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

quantum field theoryscattering theoryasymptotic completenesswave operatorfermionantisymmetric Fock space

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (n)-body potential quantum scattering theory (81U10) Axiomatic quantum field theory; operator algebras (81T05) (S)-matrix theory, etc. in quantum theory (81U20) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40) Dispersion theory, dispersion relations arising in quantum theory (81U30)

Related Items (18)

Spectral Properties for Hamiltonians of Weak Interactions ⋮ QUANTUM ELECTRODYNAMICS OF RELATIVISTIC BOUND STATES WITH CUTOFFS ⋮ Essential spectrum of a fermionic quantum field model ⋮ Spectral theory for a mathematical model of the weak interaction. I: The decay of the intermediate vector bosons \(W^{\pm}\) ⋮ On the spectral analysis of quantum field Hamiltonians ⋮ Ground states of quantum electrodynamics with cutoffs ⋮ Scattering theory for mathematical models of the weak interaction ⋮ Time evolution for the Pauli-Fierz operator (Markov approximation and Rabi cycle) ⋮ Derivation of Hartree's theory for generic mean-field Bose systems ⋮ Quantum mean-field asymptotics and multiscale analysis ⋮ Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons \(W^{\pm }\). II ⋮ Geometric methods for nonlinear many-body quantum systems ⋮ Hamiltonian models of interacting fermion fields in quantum field theory ⋮ Classical field theory limit of many-body quantum Gibbs states in 2D and 3D ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ On the spectral analysis of quantum electrodynamics with spatial cutoffs. I. ⋮ The thermodynamic limit of quantum Coulomb systems. II: Applications ⋮ Hawking effect for a toy model of interacting fermions

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