Harmonic Oscillator - Normalization

[cscott]

Homework Statement

Trying to normalize the first excited state. I have,

$$1 = |A_1|^2(i\omega\sqrt{2m}) \int_{-\inf}^{\inf} x \exp(-m\omega x^2/2\hbar)$$

How do I do the integral so I don't get zero since it's an odd funciton?

 

[Cyosis]

By calculating $\int \psi^*(x)\psi(x)dx$.

 

[cscott]

By calculating $\int \psi^*(x)\psi(x)dx$.

Damn... my head isn't on straight today. Let me get back to you on this. Thanks. :P