- #1
Kvm90
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Homework Statement
(a) Let Q be an operator which is not a function of time, abd Let H be the Hamiltonian operator. Show that:
i(hbar)([tex]\delta<q>[/tex] / dt =<[Q,H]>
Here <q> is the expectation value of Q for any arbirtary time-dependent wave function Psi, which is not necessarily an eigenfunction of H, and <[Q,H]> is the expectation value of the commutator of Q and H for the same wave function.
Homework Equations
I know the Hamiltonian and I understand that [Q,H]=QH-HQ
so <QH-HQ> = int(Psi*(x,t)(QH-HQ)Psi(x,t) dx) and now I'm in over my head/don't really know whether what I'm doing is right.
The Attempt at a Solution
I'm having trouble getting anything further than what I mentioned above