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A particle of mass m is confined to a harmonic oscillator potential V(x) =
(1/2)kx². The particle starts off at t = 0 in the state yo + W1 where yn are
the normalized energy eigenstates of the oscillator.
(a) Sketch (axes, labels, no numbers needed) the wave function at t = 0.
(b) Write an expression for y(x,t) for all t 2 0. .
(c) Calculate the expectation value of the particle's position and
momentum at all times t2 0. !

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