Assignment:
Problem
State the definition of the poisson bracket {ƒ,g} for two function on phase space (qi,pi). Calculate the poisson brackets of the following pairs of functions on two-dimensional phase space.
(a) ƒ = q, g = p3 + p-1
(b) ƒ = sin q, g = cos p
(c) ƒ = pq2 + 1, g = q3p