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Single-particle and two-particle quantum numbers

Examples are Y_{00}=\sqrt{\frac{1}{4\pi}}, for l=m_l=0 , Y_{10}=\sqrt{\frac{3}{4\pi}}cos(\theta), for l=1 and m_l=0 , Y_{1\pm 1}=\sqrt{\frac{3}{8\pi}}sin(\theta)exp(\pm i\phi), for l=1 and m_l=\pm 1 , Y_{20}=\sqrt{\frac{5}{16\pi}}(3cos^2(\theta)-1) for l=2 and m_l=0 etc.