I'm having difficulties understanding the role of scattering on phase coherence in the Aharonov Bohm Effect.
In particular I am trying to reconcile the following points:
Inelastic scattering destroys phase coherence and prevents us to see the Aharonov Bohm Effect.
Elastic scattering does...
How could one possibly know that if one does not observe the electrons or the observation equipment?
Please take no offense, but the whole question is totally meaningless.
The whole point of science is to observe and make predictions about what one is going to observe next.
Therefore what...
From what I understood on distributions the support of the derivative of a distribution is contained within the support of the original distribution.
Therefore ∂aδ(a-b) should be zero wherever δ(a-b) is.
Quantum mechanics is just different, there are purely quantum effects you cannot understand in terms of classical mechanics.
You cannot think of the electron as orbiting, as someone already pointed out. It is delocalized around the nuclei.
As long as you do not try to picture the electron as a...
The position operator in coordinate representation is:
Xab=aδ(a-b)
this is diagonal as expected
The momentum operator turns out to look like
Pab=-ih∂aδ(a-b)
Now, this is not supposed to be diagonal because it does not commute with X.
However it looks pretty diagonal to me.
What am I...