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We calculate the tunnel transmission coefficient for an electron
wave packet which hits the rectangular potential barrier with height E0
and width d (see Fig. C.3).
C.3 The Rectangular Potential Barrier
Tunneling through a rectangular barrier with width d and height
Starting with an Ansatz for the three regions
and the boundary conditions
The ratio of incoming and transmitted probability amplitude is
The transmission probability depends exponentially on thickness and
height of the barrier.