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球谐函数

Ylm=∫spheref(x,y,z)Ylm(x,y,z)dΩY_{lm} = \int_{sphere} f(x, y, z) Y_{lm}(x, y, z) d\Omega
f(x,y,z)=∑l=0∞∑m=−llYlmYlm(x,y,z)f(x, y, z) = \sum_{l=0}^{\infty} \sum_{m=-l}^{l} Y_{lm} Y_{lm}(x, y, z)
Ylm(θ,φ)=NlmPlm(cos(θ))e(imφ)Y_lm(θ, φ) = N_lm P_l^m(cos(θ)) e^(imφ)
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