4. (10 pts) Set up the equations (but do not solve) for the following conditions. Include the explicit (exact) form of $\psi$ for these models. a. $<Ep>$ for the $v=2$ state of the harmonic oscillator. b. The equation used to normalize the wavefunction: $\psi(x) = x^2 e^{-x/3a_0}$
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The average energy <E> for the v=2 state of the harmonic oscillator can be calculated using the formula: <E> = (n + 1/2) * h * v where n is the quantum number, h is the Planck's constant, and v is the frequency of the oscillator. For the v=2 state, n = 2. Show more…
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