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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 ${\rho\left(x\right)}$



