Compute the exact amplitude for transmission and reflection of a particle from a rectangular potential barrier of
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Compute the exact amplitude for transmission and reflection of a particle from a rectangular potential barrier of height V0?and width d by matching the wave function and its derivative at the boundary points x = 0, d. Note that, for a barrier that is high and wide, the leading term has the form of eq. (15.16)
with a multiplicative coefficient as anticipated in Footnote 1. Show that further corrections, which arise from the exponentially increasing solution in the classically forbidden region, are exponentially suppressed.
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