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Mathematical Object

Spherical Harmonics

Mathematical Physics, Biology and Game Theory

Spherical harmonics are special functions defined on the surface of a sphere, forming a complete orthogonal basis for functions on that surface. They arise naturally as solutions to Laplace's equation in spherical coordinates and are frequently used to solve partial differential equations across many scientific fields. Applications range from describing atomic orbitals in quantum mechanics to modeling gravitational and magnetic fields and analyzing data on the surface of a globe. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Object Kind
Function 1
Origin Year
1782 2
Connections

Attributed To

Pierre-Simon Laplace, Mathematicians
Source Spherical Harmonics (Wikipedia)

In Branch

Differential Equations, Branches of Mathematics
Source Spherical Harmonics (Wikipedia)

Is Kind Of Object

Functions, Concepts
Sources
1. Spherical Harmonics (Wikipedia)
  • Lead section
    In mathematics and physical science, spherical harmonics are special functions defined on the surface of a sphere.
  • Attributed To: Pierre-Simon Laplace, Lead sentence, attribution
    first introduced by Pierre Simon de Laplace in 1782
  • In Branch: Differential Equations, Lead paragraph
    They are often employed in solving partial differential equations in many scientific fields.
View the Source
2. Spherical harmonics (Wikipedia)
Wikipedia Spherical harmonics lead paragraph (w-bbfill-psymath4-0926)
Quote, Wikipedia Spherical harmonics lead paragraph (w-bbfill-psymath4-0926)
introduced by Pierre Simon de Laplace in 1782
View the Source
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