- #1
Lazy Rat
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Homework Statement
If the first two energy eigenfunctions are
## \psi _0(x) = (\frac {1}{\sqrt \pi a})^ \frac{1}{2} e^\frac{-x^2}{2a^2} ##,
## \psi _1(x) = (\frac {1}{2\sqrt \pi a})^ \frac{1}{2}\frac{2x}{a} e^\frac{-x^2}{2a^2} ##
Homework Equations
The Attempt at a Solution
Would it then be correct to presume
## \psi _3(x) = (\frac {1}{4\sqrt \pi a})^ \frac{1}{2}\frac{4x}{a} e^\frac{-x^2}{2a^2} ##
Thank you for your time in considering this.