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1 vote
1 answer
429 views

What exactly does it mean by gauge-invariant "operators"?

For simplicity, let us consider $U(1)$ gauge theory without matter fields. At classical level, the gauge field $A^\mu$ has the gauge transformation law \begin{equation} A^\mu \to A^\mu +\partial^\mu \...
Keith's user avatar
  • 1,669
4 votes
1 answer
310 views

Local gauge transformation in Fock space of photons

I'm currently playing around with gauge transformations in the Fock space of photons. Let's consider a local gauge transformation with gauge function $f(\mathbf{r})$. So the magnetic vector potential ...
Thomas Fritsch's user avatar
3 votes
2 answers
483 views

Is electric field operator in Schrödinger picture time-dependent?

We know that in the Schrödinger picture, operators are time-independent if they do not have explicit time-dependence. So do electric field and vector potential field operators have time dependence in ...
physshyp's user avatar
  • 1,369
2 votes
1 answer
440 views

Electron photon interaction - commutation of $\mathbf{A}$ and $\mathbf{p}$

I'm trying to figure out the radiative transition rates between electronic levels due to EM radiation using FGR as done by Merzbacher, this online source, and others. I have two questions regarding ...
Yair M's user avatar
  • 695