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C.3 The Rectangular Potential Barrier
We calculate the tunnel transmission coefficient for an electron
wave packet which hits the rectangular potential barrier with height E_{0}
and width d (see Fig. C.3).
Figure C.3:
Tunneling through a rectangular barrier with width d and height
E_{0}.

Starting with an Ansatz for the three regions
and the boundary conditions
one obtains
The ratio of incoming and transmitted probability amplitude is
The transmission probability depends exponentially on thickness and
height of the barrier.
Christoph Wasshuber