2000/12/08 by W. H. Klink, Klink, W. H. · 1 citation
Physics and Astronomy · #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/0012033
16 pages; revised version adds notion of dynamically determined few body currents
arxiv created 2002/09/27 · arxiv updated 2009/12/01
A general procedure for constructing conserved electromagnetic current operators, for both finite and infinite degree of freedom systems, is given. A four-momentum operator consisting of matter, photon, and electromagnetic interactions is assumed to be polynomial in photon creation and annihilation operators. Commutators of the four-momentum operator with the four-vector potential operator at the space-time point zero give the electromagnetic field tensor and current operator at the space-time point zero. In this construction there are no equations of motion to be satisfied and field operators at an arbitrary space-time point-defined as the four-momentum translates of the corresponding operators at the space-time point zero-are not local operators. Several examples are given to show how the construction is carried out.