Question: Consider the step potential: U(x) = {Uo, x < 0, x >0 (a) Calculate the reflection coefficient, for the case E < Up, and

Consider the "step" potential: U(x) = {Uo, x < 0, x >0 (a) Calculate the reflection coefficient, for the case E < Up, and comment on the answer. (b) Calculate the reflection coefficient for the case E > Up. (c) For a potential such as this, which does not go back to zero to the right of the barrier, the transmission coefficient is not simply |F]2/|A|2 (where F is the amplitude of the transmitted wave and A is the amplitude of the incident wave) because the wave travels at a different speed. Instead, it is given by E- U, IF2 |A]? T = E for E > Vo. Calculate the transmission coefficient for the step potential and check that T +R = 1.

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