Problem 2.34 Consider the "step" potential:53V (x) =[0, x ≤0,Vo, x > 0.(a) Calculate the reflection coefficient, for the case E < Vo, and comment onthe answer.(b) Calculate the reflection coefficient for the case E > Vo (c) For a potential (such as this one) that does not go back to zero to theright of the barrier, the transmission coefficient is not simply | F²/A2(with A the incident amplitude and F the transmitted amplitude), becausethe transmitted wave travels at a different speed. Show that(2.175)E-Vo F1²T = E A²²¹for E > Vo. Hint: You can figure it out using Equation 2.99, or-moreelegantly, but less informatively-from the probability current (Problem2.18). What is T, for E < Vo?(d) For E > Vo, calculate the transmission coefficient for the step potential,and check that T + R = 1.

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Answered: Problem 2.34 Consider the "step"…

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Problem 2.34 Consider the "step" potential:53 V (x) = [0, x ≤0, Vo, x > 0. (a) Calculate the reflection coefficient, for the case E < Vo, and comment on the answer. (b) Calculate the reflection coefficient for the case E > Vo