هماهنگ ِ کرهای hamâhang-e kore-yi
*Fr.: fonction harmonique sphérique*
A solution of some mathematical equations
when → *spherical polar coordinate*s are used in investigating physical
problems in three dimensions. For example, solutions of
→ *Laplace's equation* treated in spherical polar coordinates.
Spherical harmonics are ubiquitous
in atomic and molecular physics and appear in quantum mechanics as
→ *eigenfunction*s of
→ *orbital angular momentum*.
They are also important in the
representation of the gravitational and magnetic fields of planetary
bodies, the characterization of the
→ *cosmic microwave background anisotropy*,
the description of electrical potentials due to charge
distributions, and in certain types of fluid motion. The term *spherical harmonics* was first used by William Thomson (Lord
Kelvin) and Peter Guthrie Tait in their 1867 *Treatise on Natural Philosophy*;
→ *spherical*; → *harmonic*. |