Gauge covariance of the Schrödinger equation (source code)

= Gauge covariance of the Schrödinger equation
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For a particle of charge $-e$, the changes $A\mapsto A+\nabla f$ and $\phi\mapsto\phi-\partial_t f$ leave the minimally coupled Schrödinger equation invariant when $\psi\mapsto e^{-ief/\hbar}\psi$.