Unformatted text preview: presented in class for the semiinfinite well). 2. As a prelude to the scattering problem, find the “time delay” (which will be negative here!!! so that “speedup” would have been a better term) for a classical particle, coming into the potential with speed v . To be precise, let the particle’s motion be described by x = vt − 2 L ; t ≥ for the free case ( V ≡ 0). In other words, at t = 0, the particle is located a distance L to the left of the (zero depth) well and moves uniformly to the right. With V > 0, the particle should have traversed the well region faster, so that, after it emerges from the well, its trajectory should read x = vt − 2 L + a . Find a in terms of V and L . Expressing a as − vt d , you can write this as x = v ( t − t d ) − 2 L where t d is the (negative) “time delay.” You should review: Liboff, Chapters 6, 7.1 and 8.1....
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 Spring '09
 Mucciolo
 mechanics, Mass

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