Consider the potential barrier
v(x) = + Vo, |x| < a
0, |x| > a
Solve for the transmission T and the absolute square |T|^2 for both cases E < Vo & E > Vo. Express the answer as |T|^2(x), where x = (2mEa^2)/h^2 = 1.
Plot |T|^2(x) for both E <Vo & E > V.
*Note: Please plot both cases on the same graph.
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Please see the attached file.
The way to solve this problem is writing the wave function in each region in the form Aexp(ikx)+A'exp(-ikx)
Then we have to satisfy 4 continuity conditions:
The functions and ...
The transmission coefficient is worked out using the out-going and in-going amplitudes, with calculations provided step by step in an attached Word and PDF copy.