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- Show that the Hamiltonian for a simple harmonic oscillator is invariant under the canonical transformation \begin{equation} Q= q\cos\theta - \frac{p}{m\omega} \sin\theta,\qquad P=m\omega q \sin\theta + p \cos\theta \end{equation} for constant \(\theta\).
- Find the associated constant of motion.
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4727:Diamond Point
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