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A particle (Mass=m, charge=e, and Energy=E) is incident on a potential barrier from x<-a. The potential v(x) has the following function
V(x) = V -a<x<a
V(x) = 0 otherwise
Using Schrodinger equation determine the following
(a) The wave function of the the particle in the thre regions x<-a, -a<x<a and x>a
(b) the Probabilities of finding the particle in the three regions
(c) The Reflection and transmission coefficient at x=-a interface
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