- #1
digogalvao
- 14
- 0
Homework Statement
Show that:
d<A(q,p)>/dt=<{A,H}>, where {A,H} is a Poisson Bracket
Homework Equations
Liouville theorem
The Attempt at a Solution
<A>=Tr(Aρ)⇒d<A>/dt=Tr(Adρ/dt)=Tr(A{H,ρ})
So, in order to get the correct result, Tr(A{H,ρ}) must be equal to Tr({A,H}ρ), but I don't think I can do that substitution. Is it valid? How can I prove that?