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Unformatted text preview: midterm that the amplitude should be larger in the well than outside of it.) In order to see why, let us first consider the well and the free space (on the left) as being completely separate. I.e., we can make the barrier so high that there is no tunneling between the two regions. Notice that within the well, we are talking about bound states, and so E is quantized, while in the free space, E is not quantized.
Now consider lowering the barrier. Then the wave function can leak from left to right and vice versa. This is the QM tunneling! It is obvious...
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