Lagrangian for magnetic portion of Lorentz force
Lagrangian for magnetic portion of Lorentz force
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In [1] it is claimed in an Aharonov-Bohm discussion that a Lagrangian modification to include electromagnetism is
\begin{equation}\label{eqn:magneticLorentzForceLagrangian:20} \LL \rightarrow \LL + \frac{e}{c} \Bv \cdot \BA. \end{equation}
That can’t be the full Lagrangian since there is no \( \phi \) term, so what exactly do we get?
If…
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