(a) Consider the following wave function of Quantum harmonic oscillator:34V(x, t) = =Vo(x)e¯iEot +.Where, Eo, E, are the energy values corresponding to the ground state and the first excited state.Show that the expectation value of î in this state is periodic in time. What is the period?(b) Consider a quantum harmonic oscillator. The operator â4 is defined by :mw1â4 =2hd:2ħmwFind the expectation value of Hamiltonian for the state â4,(x).ma 1/4,-x2and , (x) =-mwma, x2[Given ,(x) = ()mw1/4 2mwx:1.πή

a) From question So expectation value of x will be, {*since wave function of ground and exited…

Answered: (a) Consider the following wave…

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