Heisenberg operators of a Dirac particle interacting with the quantum radiation field

DOI10.1016/j.jmaa.2011.04.081zbMath1219.81092OpenAlexW2113211281MaRDI QIDQ549807

Asao Arai

Publication date: 18 July 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/47270

zbMATH Keywords

Dirac operatorDirac particleDirac-Maxwell operatorHeisenberg operatorposition operatorquantum radiation fieldvelocity operatorzitterbewegung

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

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Eliminating unphysical photon components from Dirac-Maxwell Hamiltonian quantized in the Lorenz gauge ⋮ New criteria for self-adjointness and its application to Dirac-Maxwell Hamiltonian

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