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Unformatted text preview: Schr Ã¶ dinger equation are ALSO eigenstates of the momentum operator (i.e., for which one can simultaneously measure states of both welldefined energy AND momentum): (a) Find the commutator between the Hamiltonian H and the momentum operator p. (b) For what potentials V(x) do H and p commute? What kinds of particle states are associated with this class of potentials? (c) Find the rate of change of the momentum expectation value, i.e., d<p>/dt for this class of potentials, and explain how your result is consistent with Ehrenfestâ€™s theorem....
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 Fall '08
 Staff
 Physics, Quantum Physics, Fundamental physics concepts, inverse Fourier transform, momentum operator, momentum expectation value, old familiar form

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