The Dirac equation and anomalous magnetic moment
Boris V. Gisin
TL;DR
This paper derives the Dirac equation in a rotating electromagnetic field and explores its implications for magnetic resonance conditions and the anomalous magnetic moment, linking the g-factor to a transformation constant.
Contribution
It introduces a 3D transformation framework to analyze the Dirac equation in rotating fields and connects the g-factor with a transformation constant.
Findings
Derived the Dirac equation in a rotating frame
Established the magnetic resonance condition in this context
Linked the g-factor to a specific transformation constant
Abstract
The idea of determining the magnetic resonance condition in a rotating frame of reference is being studied. In this frame, the rotating magnetic field should be at rest. The 3D transformation that determines the transition to the frame is found. The Dirac equation in a rotating electromagnetic field after such a transition is obtained. The magnetic resonance condition is determined by the stationarity of solutions. The connection between g-factor in the anomalous magnetic moment and a constant in 3D transformation is established.
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Algebraic and Geometric Analysis · Experimental and Theoretical Physics Studies