Stability of a model of relativistic quantum electrodynamics

DOI10.1007/s002200200665zbMath1005.81091arXivmath-ph/0109002OpenAlexW2043449325MaRDI QIDQ1849339

Elliott H. Lieb, Michael Loss

Publication date: 1 December 2002

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0109002

zbMATH Keywords

Dirac operatorCoulomb gaugefixed nucleirelativistic no pair model

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Many-body theory; quantum Hall effect (81V70)

Related Items (11)

QUANTUM ELECTRODYNAMICS OF RELATIVISTIC BOUND STATES WITH CUTOFFS ⋮ Stability of relativistic quantum electrodynamics in the Coulomb gauge ⋮ SPECTRAL THEORY OF NO-PAIR HAMILTONIANS ⋮ EXISTENCE OF GROUND STATES OF HYDROGEN-LIKE ATOMS IN RELATIVISTIC QED I: THE SEMI-RELATIVISTIC PAULI–FIERZ OPERATOR ⋮ Stability and related properties of vacua and ground states ⋮ Dirac operators coupled to the quantized radiation field: Essential self-adjointness à la Chernoff ⋮ Heisenberg operators of a Dirac particle interacting with the quantum radiation field ⋮ Exponential localization of hydrogen-like atoms in relativistic quantum electrodynamics ⋮ Spectral analysis of the semi-relativistic Pauli-Fierz Hamiltonian ⋮ Multi-time dynamics of the Dirac-Fock-Podolsky model of QED ⋮ Existence of ground states of hydrogen-like atoms in relativistic quantum electrodynamics. II. The no-pair operator

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