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Spherical Harmonics

Spherical harmonics give the angular part of the solution to Laplace's equation in spherical coordinates. They arise in many practical situations, notably atomic orbitals, particle scattering processes and antenna radiation patterns.

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In physical settings, the degree is normally called the orbital quantum number and the order the magnetic quantum number.

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"Spherical Harmonics" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/SphericalHarmonics/
Contributed by: Stephen Wolfram
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