Problem 3.6 – Griffith’s Intro to QM

Mar 11, 2023

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Problem 3.6

Consider the operator $\hat{Q} = d^2/d \phi^2$ , where (as in Example 3.1) $\phi$ is the azimuthal angle in polar coordinates, and the functions are subject to Equation 3.26. Is $\hat{Q}$ hermitian? Find its eigenfunctions and eigenvalues. What is the spectrum of $\hat{Q}$ ? Is the spectrum degenerate?