Q102Section C (Part C)102 of 120

Properties of Poisson brackets

Suppose $f,g$ are smooth functions of generalized coordinates $q_1,q_2,\dots,q_n$ , the associated conjugate momenta $p_1,p_2,\dots,p_n$ , and time $t$ . Let $[f,g]$ denote the Poisson bracket of $f$ and $g$ . Suppose $H$ is a Hamiltonian of the system.

Then which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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