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Fourier Transform and Schrodinger Equation

Please view the attached file for the full description of the two questions being analyzed.

Essentially, this posting is asking the following: Solve the Schrodinger equation with different potentials using the Fourier transform.

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Solution Summary

Fourier transform is a powerful tool when used to solve ordinary and partial differential equations. This solution shows step by step how to go from the initial equation, utilizing the Fourier transform, to the inverse transform and complex contour integration to reach a solution (in an integral form). The solution contains 4 pages with full derivations and is provided in both a pdf. and Word document.