Homework Help: Deriving hermite differential equation from schrødinger harm oscillator

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1. Jan 21, 2016

georg gill

1. The problem statement, all variables and given/known data

I am trying to obtain the hermite polynomial from the schrødinger equation for a har monic oscillator. My attempt is shown below. Thank you! The derivation is based on this site:

http://www.physicspages.com/2011/02/08/harmonic-oscillator-series-solution/

3. The attempt at a solution

however the book says:

2. Jan 21, 2016

blue_leaf77

Seems like your mistake lies in your calculation of $\frac{\partial^2 \psi}{\partial y^2}$. I suggest that you check again on this point to see whether you had left out one term.

3. Jan 21, 2016

thanks!