Using Maupertuis' principle and Stokes' theorem, the paper shows the action for a charged particle in a uniform magnetic field must include the term -qΦ, where Φ is the enclosed flux, reproducing the canonical momentum p = mv + qA.
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On the action for a charged particle moving in a magnetic field
Using Maupertuis' principle and Stokes' theorem, the paper shows the action for a charged particle in a uniform magnetic field must include the term -qΦ, where Φ is the enclosed flux, reproducing the canonical momentum p = mv + qA.