Suppose there is a particle with mass m that is projected with energy E = V0 at the potential energy barrier defined in the provided images. Find the most general solution to the time independent Schrodinger equation in the regions x < 0, 0 < x < a, and x > a. Apply the appropriate boundary conditions and determine the transmission coefficient for a particle that is projected at the barrier from the left. Be sure that your result behaves appropriately in the limit a → 0.

Suppose there is a particle with mass m that is projected with energy E = V0 at the potential energy barrier defined in the provided images. Find the most general solution to the time independent Schrodinger equation in the regions x < 0, 0 < x < a, and x > a. Apply the appropriate boundary conditions and determine the transmission coefficient for a particle that is projected at the barrier from the left. Be sure that your result behaves appropriately in the limit a → 0.

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