Linked from

The 25 pages that link to Spherical harmonics, each with the reason it gives.

• Selection ruleRelated: Angular wavefunctions make rotational selection rules calculable.

• Mie scatteringRelated: They organize the angular structure of the spherical scattering solution.

• Cosmic varianceRelated: CMB analyses separate fluctuation power into angular modes, each with limited samples.

• Orbital angular momentumRelated: They encode orbital angular momentum in the angular part of three-dimensional wavefunctions.

• Multipole expansionRelated: They provide the angular basis for multipole terms in three dimensions.

• Clebsch–Gordan coefficientsRelated: They supply the orbital states often combined with spin states.

• Legendre polynomialsRelated: Legendre polynomials provide the zero-order angular dependence in this basis.

• 4f orbitalRelated: They describe the angular shapes and nodal patterns of f orbitals.

• Spherical symmetryRelated: They describe departures from the purely angle-independent part of a field.

• Sturm–Liouville theoryRelated: Separation of variables yields angular eigenvalue problems related to Legendre’s equation.

• Azimuthal quantum numberRelated: They describe the angular dependence of atomic orbitals for each ℓ and mℓ.

• Icosahedral symmetryRelated: Their combinations can be classified by how they transform under icosahedral rotations.

• Spherical coordinate systemRelated: They separate the angular dependence of many equations written in spherical coordinates.

• Unit sphereRelated: They describe functions defined over the unit sphere in physics and applied mathematics.

• Wigner–Eckart theoremRelated: They provide a familiar realization of rotational angular-momentum states.

• Dipole approximationRelated: They organize multipole terms by angular structure, including the dipole contribution.

• Geomagnetic poleRelated: They let field models separate the dipole component from more complex structure.

• Legendre equationRelated: Their polar-angle factors solve the associated Legendre equation.