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    Problem in Quantum Mechanical Tunneling

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    Given a tunneling barrier with a thickness of 2nm and a barrier height of 5eV, what is the minimum kinetic energy an electron would have to have to have a 50% chance of passing through? (hint it doesn't necessarily have to be less than the barrier height)

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    Solution Preview

    To calculate the tunneling probability, we first need to solve the Schrodinger equation for the wavefunction of the electron inside the barrier. We have

    Solution Summary

    We compute the kinetic energy an electron must have in order to have a 50% probability of tunneling through a barrier of given height and thickness.