Question: In the quantum harmonic oscillator, consider a wavefunction that ) is a superposition of eigenstates ) = C [(1+i)10) +12)], or (x) = C[(1+i)40(x)+2(x)]

In the quantum harmonic oscillator, consider a wavefunction that ) is a superposition of eigenstates ) = C [(1+i)10) +12)], or (x) = C[(1+i)40(x)+2(x)] where the oscillation frequency is w. 1.Find the normalization constant C. 2. Find the expectation value of x. 3.Find the expectation value of the energy, , where H is the harmonic oscillator Hamiltonian.

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