I'm still really confused on how to go about calculating this for non eigenstates. I'm trying to do the problem below, and am wondering how to go about it.(adsbygoogle = window.adsbygoogle || []).push({});

[itex] \Psi (x,0) = A (1-2 \sqrt {\frac{m \omega}{\hbar}} x)^2 e^ {-\frac{m \omega x^2}{2 \hbar}}[/itex]

So I can't calculate the expectation value using Psi (x,) because this is not a stationary state, therefore i have to get Psi (x,t), correct? To do this i need to first normalize the equation and get A, and then plug Psi(x,0) into the equation:

[itex] Cn = \int(\psi_n(x)*f(x) dx)) [/itex]

[itex] \psi_n(x) [/itex] is pretty complex for a harmonic oscillator, being

[itex] \frac{1}{sqrt(n-factorial)} (A_+)^n \psi_0(x)[/itex]

having solved for Cn...assuming i can..which i seriously doubt that i can..i could then go about calculating the energy for Psi(x,t). However, i can't honestly believe this is what i'm supposed to do...it sounds too complex, so i'm guessing either i can for some reason just use the Hamiltonian operator on Psi(x,0), or there is some simpler way to get the expectation energy

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# Homework Help: Expectation value of Energy Quantum

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