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We give a rigorous description of a model of the quantized electromagneticfield interacting with quantized current fields. In the special case ofclassical currents our results agree with common knowledge about the problem. Atoy model of a quantum current is studied as well.Comment: extended version (from 13 to 20 pages), including an example of a  quantum curren

Rigorous Theory of the Quantum Electromagnetic Field in the Presence of Quantum Sources