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Explore a numerical solution to the 1D square well with a step potential using the finite difference method in this 28-minute video. Learn how to implement the solution using Python's numpy library and solve the eigenvalue problem. Gain insights into the infinite 1D square well with a width of 'an' and a half step potential size of U0. Compare this approach with the previously covered finite difference method and the shooting method solution for the same problem. Dive into topics including introduction, Python implementation, solving techniques, and normalization.