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## Summary:

- Wavefunction with spin, and how to know in which part up and down Spin go

We are given the wave function with spin, but it doesn't say in which Y

Examples;

√2Y

Here we have the up Spin X

I notice the X

_{l}^{m}each spin X_{±}goes. So how do I know?Examples;

**(1)**Ψ = 1/√3 R_{21}(r) ( Y_{1}^{0}√2Y

_{1}^{1})Here we have the up Spin X

_{+}to Y_{1}^{0}and the X_{-}to Y_{1}^{1}I notice the X

_{-}went to the higher m (m=1). However, in this other example it's the opposite;**(2)**Ψ = R_{21}( √(1/6) Y_{1}^{0}X_{-}- √(5/6) Y_{1}^{-1}X_{+})