(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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].

2. Relevant equations

I assumed [tex]x = rsin\theta cos \varphi[/tex] and [tex]y = rcos\theta[/tex]

3. 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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Can someone check this please

**Physics Forums | Science Articles, Homework Help, Discussion**