- #1
Void123
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Homework Statement
I am giving the following wave function which describes a hydrogen state:
[tex]\psi(r, 0) = (\frac{A}{\sqrt{\pi}})(\frac{1}{a_{0}})^{3/2} exp(-\frac{r}{a_{0}}) + (1/\sqrt{12*\pi})(\frac{z - \sqrt(2)x}{r})R_{21}[/tex]
Where [tex]R_{21}[/tex] is the radial equation.
I must rewrite [tex]\psi[/tex] in terms of summed eigenstates [tex]\psi_{nlm}[/tex].
Homework Equations
I assumed [tex]x = rsin\theta cos \varphi[/tex] and [tex]y = rcos\theta[/tex]
The Attempt at a Solution
I come up with four different eigenstates, but one of them has a (-1) coefficient (which leads to an imaginary normalization constant, A).
I don't see what I could have done wrong though.