Can some1 help me solve a first energy level Schrodinger ([tex]\psi_{1}[/tex])with a the Hermite polynomial and also show that it equals to [tex]\frac{3}{2}\hbar \omega[/tex]?(adsbygoogle = window.adsbygoogle || []).push({});

I got as far as

[tex]

\newcommand{\pd}[3]{ \frac{ \partial^{#3}{#1} }{ \partial {#2}^{#3} } }\frac{\hbar^2}{2 m} \ \pd{\Psi}{x}{2} + V \Psi = \frac{\hbar}{2m} (2N_{1}\frac{x}{\alpha}e^\frac{-1}{2\alpha^2}x^2(\frac{1}{\alpha^2}+\frac{1}{\alpha^4}x^2)

[/tex]

Thanks.

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# Homework Help: Schrodinger using a Hermite Polynomial

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