Unformatted text preview: E V . (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 (with A the incident amplitude and F the transmitted amplitude), because the transmitted wave travels at a different speed. Show that T = E − V E ∣ F ∣ 2 ∣ A ∣ 2 for E V . Hint: You can figure it out using Equation 2.98, or from the probability current (Problem 2.19). What is T for E V ? (d) For E V , calculate the transmission coefficient for the step potential, and check that T R = 1 ....
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 Fall '08
 Vachon
 mechanics, initial wave function

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