Consider the particle in the infinite potential well as shown in Figure 2-1 (see attachment). Derive and graph the wave functions corresponding to the four lowest energy levels. Do not normalize wave functions. Find the four lowest energy levels. Use Matlab to graph the wave functions. What happens if the well dimensions increases? Where -L < x < L to -3L < x < 3L?
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This solution provides step by step calculations for deriving wave functions and finding energy levels.