Quantum question - hamiltonian

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Homework Statement



see attached

Homework Equations





The Attempt at a Solution



so i don't see why you need H to be time independent..

if you use TDSE to differentiate <Ek| psi> then you get d/dt of that = 0 regardless of whether H is time indep? surely?

Also not sure how to do it using Ehrenfest's theorem. I know that this would show the expectation value of H is constant, but how would this show what is required/// thanks
 

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