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\sect{Oscillator in a microcanonical state}
Assume that a harmonic oscillator with freqency $\Omega$
and mass $m$ is prepared in a microcanonical state with energy~$E$.
\Dn
(1) Write the probability distribution ${\rho\left(x,p\right)}$.
\Dn
(2) Find the projected probability distribution ${\rho\left(x\right)}$