64 From Classical Mechanics to Quantum Field Theory. A Tutorial
Unlessfand/orgare at most quadratic,{f,g}∗={f,g}. Therefore, the com-
mutator of the quantum operators associated with observables on phases space is
not (modulo a multiplicative constant) the quantum operator associated with the
Poisson bracket. Generically, it becomes so only to lowest order in, reproducing
the so called Ehrenfest theorem[ 15 ].
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