Matter in Electromagnetic Fields
Electromagnetic fields and currents are coupled systems. The electromagnetic field influences the motion of charged particles, and they produce the electromagnetic fields. The structure of the system is this: the Hamiltonian may be (neglecting all details and constants) symbolically written as H = H 00 − j · A. Here H 00 is the “bare” unperturbed Hamiltonian (without electromagnetic interactions between the particles), and j and A are the four-vectors of current and vector potential.
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