NON-RELATIVISTIC LIMIT OF A DIRAC–MAXWELL OPERATOR IN RELATIVISTIC QUANTUM ELECTRODYNAMICS

DOI10.1142/S0129055X0300162XzbMath1081.81114MaRDI QIDQ5315837

Asao Arai

Publication date: 9 September 2005

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

zbMATH Keywords

Dirac operatorscaling limitnon-relativistic limitDirac-Maxwell operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Electromagnetic interaction; quantum electrodynamics (81V10)

Related Items (7)

MASS RENORMALIZATION IN NON-RELATIVISTIC QUANTUM ELECTRODYNAMICS WITH SPIN ½ ⋮ Eliminating unphysical photon components from Dirac-Maxwell Hamiltonian quantized in the Lorenz gauge ⋮ Non-relativistic limit of a Dirac polaron in relativistic quantum electrodynamics ⋮ New criteria for self-adjointness and its application to Dirac-Maxwell Hamiltonian ⋮ 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 ⋮ Spectral analysis of the Dirac polaron

Cites Work

• Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants
• Essential self-adjointness of translation-invariant quantum field models for arbitrary coupling constants.
• Scaling limit of anticommuting selfadjoint operators and applications to Dirac operators
• A particle-field Hamiltonian in relativistic quantum electrodynamics
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