Python libraries used: Numpy, Scipy, Matplotlib.pyplot.
In this Coursework/Project:
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Wrote a program to plot the Fourier Transform of a function in position domain and explored the fundamental inverse relation between the 'width' of a function in position domain and the 'width' of the fourier transformed function (in k domain).
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Discretized the time independent schrodinger equation and then wrote a python program based on the 'shooting method' to solve for eigenfunctions of the quantum harmonic oscillator. Also wrote a program for the normalization of the relevant eigenfunction.
I have attached the relevant question sheet and recommend that it be read while you're looking at the code. The programs were written in a Jupyter Notebook which has also been attached.
If you need any more information/explanation related to the code, don't hesitate to contact me.