Consider a square hill barrier produced by a 10V potential. Incident upon this barrier is a steady stream of 5eV electrons.
(a) If half the electrons are transmitted, how thick is the barrier? (Please derive the transmission probability rather than merely quoting it.)
TISE ΨE = H*Ψ
sorry I don't know how to put the ^ over the H for the hamiltonian operator.
The Attempt at a Solution
Normally when trying well and barrier questions I would start by drawing out the well or barrier in question. However in this question the issue I'm having is that I don't even know how to draw it. I know it's a barrier and I think it has total E=10V but really am unsure what I'm supposed to do with the stream of 5eV electrons. I've never had a question like this with electron volts before, all my previous questions will just say something like
"Total energy E=9V0
V=0 for x<0 & V=5V0 for x>0 "
which I know how to draw and visualize.
Any help is appreciated, thanks.