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Spherical harmonic

The spherical harmonics are an orthogonal set of solutions to Laplace's equation represented in a system of spherical coordinates. The solutions are generally expressed in terms of trigonometric functions and Legendre polynomials.

Spherical harmonics are important in many theoretical and practical applications, particularly the computation of atomic electron configurations, and the approximation of the Earth's gravitational field and the geoid.

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Referenced By

Coordinates (elementary mathematics) | Cylindrical coordinate | Cylindrical coordinates | Geoid | List of dynamical system and differential equation topics | List of dynamical system topics | List of mathematical topics (S-U) | List of polynomial topics | Particle in a spherically symmetric potential

 

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Spherical harmonic".

 

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