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    Quantum Mechanics and Particle Incident

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    Part 1
    A particle incident on the potential step with
    a certain energy E < U is described by the
    wave ψ(x) = (1/ 2)* {(1 + i)e^ikx + (1 − i)e^ikx }, x ≤ 0
    ψ(x) = e ^−kx , x ≥ 0
    Evaluate the penetration depth δ = 1/k for
    9.4 MeV protons incident on this 23.4 MeV
    step. Answer in units of fm.

    Part 2
    A particle of energy E approaches a step bar-
    rier of height U0 .
    What should be the ratio E/U0 so that the
    reflection coefficient is 0.2?

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    Solution Preview

    Hi there

    Here is the solution to the two questions.

    Note that for the second problem I used the ...

    Solution Summary

    This solution contains step-by-step calculations to determine the penetration depth and the ratio of E/U0 for a specific reflection coefficient.