Magnetic moments in the Poynting theorem, Maxwell equations, Dirac equation, and QED

• URL: http://arxiv.org/abs/2501.02022v1
• Date: Thu, 02 Jan 2025 18:32:45 GMT
• Title: Magnetic moments in the Poynting theorem, Maxwell equations, Dirac equation, and QED
• Authors: Peter J Mohr,
• Abstract summary: We show how magnetic moment effects are included in either version of electrodynamics. In either case, we express the interactions in terms of electromagnetic fields only, avoiding use of a vector potential.
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• Abstract: The role of magnetic moments in electrodynamics is examined in this work. The effects are described in the context of conventional quantum electrodynamics expressed in terms of the electromagnetic fields or in the context of an extended Poynting theorem and extended Maxwell equations. These extensions take into account the energetics of interaction of magnetic moments with inhomogeneous magnetic fields. We show how magnetic moment effects are included in either version of electrodynamics and that these apparently different formulations can give consistent results. In either case, we express the interactions in terms of electromagnetic fields only, avoiding use of a vector potential.

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