If they are indistinguishable, why did you describe one as a "free electron" and the other as a "bound electron"???
Let me repeat. Why would a stationary electron reflect e.m. waves?
Good grief. I said "a unit step em wave hits a stationary point electron". Stationary, as in not moving, v(t=0) = 0. The whole point of that paragraph was to describe how the electron accelerates in response to the incident wave and how the resulting reflected/scattered wave behaved.
Oh, jeez. I have identical twin brothers. One lives in Ireland. One lives in England.
Look, guy, I was hoping to be able to explain something to you. You're pretending to be stupid as a rock, or you're not pretending; either way, it's not going to work, so let's give it up, OK?