Coulomb scattering in the massless Nelson model. I. Foundations of two-electron scattering

DOI10.1007/s10955-013-0857-yzbMath1301.81316arXiv1302.5001OpenAlexW3102865668MaRDI QIDQ2016536

Alessandro Pizzo, Wojciech Dybalski

Publication date: 20 June 2014

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5001

zbMATH Keywords

Coulomb scatteringmassless Nelson modelHaag-Ruelle scattering theory

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) (2)-body potential quantum scattering theory (81U05)

Related Items

From Faddeev-Kulish to LSZ. Towards a non-perturbative description of colliding electrons ⋮ One-boson scattering processes in the massive spin-boson model ⋮ Coulomb scattering in the massless Nelson model IV. Atom–electron scattering ⋮ Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively ⋮ Coulomb scattering in the massless Nelson model. III: Ground state wave functions and non-commutative recurrence relations ⋮ Analyticity of the self-energy in total momentum of an atom coupled to the quantized radiation field ⋮ Coulomb scattering in the massless Nelson model II. Regularity of ground states ⋮ On the domain of the Nelson Hamiltonian ⋮ Asymptotics of the evolution semigroup associated with a scalar field in the presence of a non-linear electromagnetic field ⋮ Strengthened Reeh-Schlieder property and scattering in quantum field theories without mass gaps ⋮ Equivalence of two definitions of the effective mass of a polaron ⋮ Coulomb scattering in the massless Nelson model. I. Foundations of two-electron scattering ⋮ Infraparticle quantum fields and the formation of photon clouds ⋮ Differential equations of quantum mechanics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic completeness for the massless spin-boson model
• Renormalized electron mass in nonrelativistic QED
• Infraparticle scattering states in non-relativistic QED. I: The Bloch-Nordsieck paradigm
• Asymptotic completeness for Rayleigh scattering
• Analyticity of the ground state energy for massless Nelson models
• Asymptotic completeness for Compton scattering
• The renormalized electron mass in non-relativistic quantum electrodynamics
• One-particle (improper) states in Nelson's massless model
• Scattering theory of infrared divergent Pauli-Fierz Hamiltonians
• Approach to ground state and time-independent photon bound for massless spin-boson models
• Coulomb scattering in the massless Nelson model. I. Foundations of two-electron scattering
• On Rayleigh scattering in non-relativistic quantum electrodynamics
• The mass shell in the semi-relativistic Pauli-Fierz model
• Scattering of an infraparticle: The one particle sector in Nelson's massless model
• Haag-Ruelle scattering theory in presence of massless particles
• Dynamics of Charged Particles and their Radiation Field
• Quantum Field Theories with Composite Particles and Asymptotic Conditions
• Infraparticle scattering states in nonrelativistic quantum electrodynamics. II. Mass shell properties
• Asymptotic completeness for Rayleigh scattering
• ASYMPTOTIC COMPLETENESS IN QUANTUM IN FIELD THEORY: MASSIVE PAULI–FIERZ HAMILTONIANS
• RADIATIVE DECAY: NONPERTURBATIVE APPROACHES
• Asymptotic electromagnetic fields in models of quantum-mechanical matter interacting with the quantized radiation field