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## Homework Statement

Show:

[tex] \psi_1=N x e^{-\frac{x^2}{\sigma}} [/tex] is an eigenfunction of the total energy operator(H).

## Homework Equations

psi=N x exp[-x^2/K]

## The Attempt at a Solution

I plugged in the above to the Schrodinger Equation-time indep. for Harmonic oscillator but I keep getting an x^2 dependence inside the calculation. Do I not plug this in?