KnowraSpherical harmonicsLinked fromLinked fromThe 25 pages that link to Spherical harmonics, each with the reason it gives.All 25Broader topic 7Related 18Atomic orbitalBroader topic: Spherical harmonics give the angular shapes of hydrogen-like atomic orbitals.SineBroader topic: They extend sinusoidal patterns to angular variation across spherical surfaces.Angular momentum operatorBroader topic: They provide the position-space eigenfunctions of orbital angular momentum.Separation of variablesBroader topic: Angular separation in spherical coordinates produces these functions in symmetric boundary-value problems.Helmholtz equationBroader topic: They describe the angular dependence of Helmholtz solutions in spherical coordinates.Magnetic quantum numberBroader topic: Its azimuthal dependence is indexed by the magnetic quantum number.Peter–Weyl theoremBroader topic: They realize the theorem’s decomposition for functions on the sphere.