Question: 5. Consider a simple one-dimensional harmonic oscillator. Assuming that at time t = 0 the state of the system is given by the wave

5. Consider a simple one-dimensional harmonic oscillator. Assuming that at time t

5. Consider a simple one-dimensional harmonic oscillator. Assuming that at time t = 0 the state of the system is given by the wave function l0} = +2) where | n> is understood to be the elgenfunction corresponding to the autoenergy E, = hw(n+1/2). (a) Find the wave function v(t)) for t> 0. (b) Find the mean value of the energy. (c) Obtain the mean value of the position as a function of time (i(t)).

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