Consider two straight wires lying on the x-axis, separated by a gap of 4 nm. The potential energy in the gap is about 3 eV higher than the energy of a conduction electron in either wire. What is the probability that a conduction electron in one wire arriving at the gap will pass through the gap into the other wire? [Hint: Assume that the gap is very wide. Then, a right-moving electron incoming on the gap partially passes through the left edge of the gap and loses its amplitude exponentially fast. By the time it reaches the right edge, its reflection from the right edge can be neglected. Most of the particle wave at that point simply comes out of the gap and arries on in the second wire.]
Consider two straight wires lying on the x-axis, separated by a gap of 4 nm. The potential energy in the gap is about 3 eV higher than the energy of a conduction electron in either wire. What is the probability that a conduction electron in one wire arriving at the gap will pass through the gap into the other wire? [Hint: Assume that the gap is very wide. Then, a right-moving electron incoming on the gap partially passes through the left edge of the gap and loses its amplitude exponentially fast. By the time it reaches the right edge, its reflection from the right edge can be neglected. Most of the particle wave at that point simply comes out of the gap and arries on in the second wire.]
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