Schroedinger's equation for this problem is solved using the "shooting method" in which initial guesses for the boundary conditions for the wave function, Y, and its first derivative, Y', are made. After an iteration, the guesses are refined and the results compared until an acceptable tolerance level is reached. In this problem the guesses are made for the left side of the graph and the solution is calculated from left to right. More of the details of this method may be found in the finite square-well potential exercise.
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