Plot some eigenstates

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Let's plot the amplitudes and probability density of some of these eigenfunctions.

n=1

n=1

n=1

n=2

n=2

n=2

n=10

n=10

n=10

Note that the number of zeros at points between the boundaries is gr30. There is a theorem that says that this should be the case for any potential well. (See e.g. Landau & Lifshitz)