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Integration over phase space for a one-dimensional harmonic oscillator
The problem asks for a proof of the following equation, and I have no idea on how to approach this:
$$\int dx dp \delta(E-\frac{p^2}{2m}-\frac{m \omega^2 x^2}{2})f(E) = \frac{2\pi}{\omega}f(E) ,$$ fo …