Activities
Student explore the properties of an orthonormal basis using the Cartesian and \(S_z\) bases as examples.
Students find a wavefunction that corresponds to a Gaussian probability density.
Problem
Show that if a linear combination of ring energy eigenstates is normalized, then the coefficients must satisfy \begin{equation} \sum_{m=-\infty}^{\infty} \vert c_m\vert^2=1 \end{equation}