The Hamiltonian for a 3-D isotropic harmonic oscillator is given by 1 •z [p² + p² +p² + µ² (q? + q² + q})]. Show that, F₁ H = = 92P3-93P2 and F₂ = μq₁ cos µt - p₁ sin ut are constants of motion.
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![14.The Hamiltonian for a 3-D isotropic harmonic oscillator is given by
1
H
[p? + p? + p를 + μ2 (q} + q글 + q})].
Show that, F, = q2P3 – 93P2 and F2
µq1 cos µt – P1 sin µt are constants of motion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbea9934e-cfb4-4d35-b37c-ea0366a1b0a7%2F8b22ab79-c0a1-4c1d-9db3-c9f96f5e96e6%2Falnqtaa_processed.png&w=3840&q=75)
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