Spherical harmonics: Difference between revisions

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In analogy to [[harmonic]] functions in the plane, the solutions of the [[Laplace equation|Laplace  equation]] in [[spherical coordinates]].<br/> Spherical surface harmonics are special sets taken over the surface of a sphere; therefore, the  harmonic components are restricted to an integral number of waves over the sphere. Spherical  harmonics have been applied in the study of the large-scale oscillations of the [[atmosphere]].
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== spherical harmonics ==
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<div class="definition"><div class="short_definition">In analogy to [[harmonic]] functions in the plane, the solutions of the [[Laplace equation|Laplace  equation]] in [[spherical coordinates]].</div><br/> <div class="paragraph">Spherical surface harmonics are special sets taken over the surface of a sphere; therefore, the  harmonic components are restricted to an integral number of waves over the sphere. Spherical  harmonics have been applied in the study of the large-scale oscillations of the [[atmosphere]].</div><br/> </div>
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Latest revision as of 07:46, 30 March 2024

In analogy to harmonic functions in the plane, the solutions of the Laplace equation in spherical coordinates.
Spherical surface harmonics are special sets taken over the surface of a sphere; therefore, the harmonic components are restricted to an integral number of waves over the sphere. Spherical harmonics have been applied in the study of the large-scale oscillations of the atmosphere.

  1. Regular markings on an instrument used to allow the reading of the measured quantity or setting.
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