spherical harmonic
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special function over the surface of a sphere
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Visual representations of the first few real spherical harmonics. Blue portions represent regions where the function is positive, and yellow portions represent where it is negative. The distance of the surface from the origin indicates the absolute value of
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Connections
Pierre-Simon Laplace
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sphere
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trigonometric function
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atomic orbital
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Legendre polynomial
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angular momentum operator
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Clebsch–Gordan coefficient
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associated Legendre polynomials
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ladder operator
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rotation group SO(3)
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irreducible representation
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Sturm–Liouville theory
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Laplace–Beltrami operator
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Wigner 3-j symbol
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Legendre function
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mathematics
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quantum mechanics
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International Standard Book Number
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David Hilbert
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magnetic field
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