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## Main Question or Discussion Point

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?