Self-energy of one electron in non-relativistic QED.

DOI10.1016/S0022-1236(03)00064-8zbMath1039.81020arXivmath-ph/0207036OpenAlexW1977739359MaRDI QIDQ1428444

Christian Hainzl, Isabelle Catto

Publication date: 29 March 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0207036

zbMATH Keywords

QEDSelf-energyEnhanced binding

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45)

Related Items (16)

MASS RENORMALIZATION IN NON-RELATIVISTIC QUANTUM ELECTRODYNAMICS WITH SPIN ½ ⋮ The increase of binding energy and enhanced binding in nonrelativistic QED ⋮ On enhanced binding and related effects in the non- and semi-relativistic Pauli-Fierz models ⋮ Functional integral representations of the Pauli-Fierz model with spin 1/2 ⋮ On asymptotic expansions in spin-boson models ⋮ Enhanced binding of an \(N\)-particle system interacting with a scalar Bose field. I. ⋮ Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime ⋮ Enhanced binding revisited for a spinless particle in nonrelativistic QED ⋮ Ground states in the spin Boson model ⋮ Binding energy for hydrogen-like atoms in the Nelson model without cutoffs ⋮ On the ground state energy of the translation invariant Pauli-Fierz model ⋮ Binding threshold for the Pauli-Fierz operator ⋮ On the correlation energy of interacting fermionic systems in the mean-field regime ⋮ Ground state and resonances in the standard model of the non-relativistic QED ⋮ Quantitative estimates on the enhanced binding for the Pauli-Fierz operator ⋮ Differential equations of quantum mechanics

Cites Work

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• Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants
• One non-relativistic particle coupled to a photon field
• Enhanced binding in non-relativistic QED
• Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field
• Ground states in non-relativistic quantum electrodynamics.
• Enhanced binding through coupling to a quantum field

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