A potential takes the value V = 0eV when x < 0, the value V = V0 when 0 < x < L, and the value −V0 when x > L. A beam of electrons with energy E is incident upon it from the left. Write down an expression for the wavefunction of the quantum-mechanical electrons that are incident upon this barrier, assuming that 0 < E < V0. Show that your expression satisfies the time-independent Schr¨odinger equation.

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A potential takes the value V = 0eV when x < 0, the value V = V0 when 0 < x < L, and the
value −V0 when x > L. A beam of electrons with energy E is incident upon it from the left.

Write down an expression for the wavefunction of the quantum-mechanical electrons that
are incident upon this barrier, assuming that 0 < E < V0. Show that your expression
satisfies the time-independent Schr¨odinger equation.

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