I know that, in the presence of a magnetic field, the momentum of a charge particle changes from ##p_{i}## to ##\pi_{i}\equiv p_{i}+eA_{i}##, where ##e## is the charge of the particle.(adsbygoogle = window.adsbygoogle || []).push({});

I was wondering if this definition of momentum is gauge-invariant?

How about ##\tilde{\pi}_{i}=p_{i}-eA_{i}##?

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# I Gauge invariance of momentum of charged particle

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