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2. A free particle of mass m with wave number k1 travels to the right. At x = 0, the potential jumps from 0 to VO and
remains at this value for x> 0.
a) If the total energy is given by E =
2m
= 2V
What is the wave number k2 in the region x> 0? Express your answer in terms of k1 and V0.
b) Calculate the reflection coefficient R of the potential step.

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