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• In the forbidden region the wave-function decays in (14.11), ψ(x) = ψ0e−x/λ. Define P as the ratio of the probabilities of finding the electron at x and at 0: P = |ψ(x)/ψ0|2.(a) Derive a formula for x in terms of P. (b) For a tunneling depth of λ = 0.1 nm (typical of wave-function decay outside a metal), what is the distance x at which P = 10−10? 10−20?
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