Time Dependent Wavefunctions and Derivatives
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(a) Let Q be an operator which is not a function of time, and let H be the Hamiltonian operator. Provide proof for an equation (see attached file for equation).
Here {q} is the expectation value of Q for an arbitrary time-dependent wae function , 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. This result is known as Ehrenfest's theorem.
(b) Use this result to show that the following equation (see attached file) is true.
What is the classical analog of this equation?
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This solution provides proofs for various questions about concepts regarding quantum mechanics.
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