I have found that:
For l = 1:
[tex]\sum_{m=-l}^l |Y_l^m|^2 = \frac{3}{4\pi}[/tex]
For l = 2:
[tex]\sum_{m=-l}^l |Y_l^m|^2 = \frac{5}{4\pi}[/tex]
What significance does this have for the probability distribution in an hydrogen atom?
For l = 1:
[tex]\sum_{m=-l}^l |Y_l^m|^2 = \frac{3}{4\pi}[/tex]
For l = 2:
[tex]\sum_{m=-l}^l |Y_l^m|^2 = \frac{5}{4\pi}[/tex]
What significance does this have for the probability distribution in an hydrogen atom?
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