(a) Left F (qi, pi, t) and G(qi, pi, t) be two functions. Define poisson bracket (F,G) q,p. Show that if (F,H)=Q (His hamiltonian). Then F is a constant of motion. Also write Hamilton's equations in poisson bracket notation.

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(a) Left F (qi, pi, t) and G(qi, pi, t) be two functions. Define
poisson bracket (F,G) q,p. Show that if (F,H)=Q (His
hamiltonian). Then F is a constant of motion. Also write
Hamilton's equations in poisson bracket notation.
Transcribed Image Text:(a) Left F (qi, pi, t) and G(qi, pi, t) be two functions. Define poisson bracket (F,G) q,p. Show that if (F,H)=Q (His hamiltonian). Then F is a constant of motion. Also write Hamilton's equations in poisson bracket notation.
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