Functions Used in Quantum Mechanics
Harmonic Oscillator
Hydrogen Atom
SphericalHarmonicY ▪ LaguerreL ▪ Hypergeometric1F1 ▪ WhittakerM
Linear Potential
AiryAi ▪ AiryAiPrime ▪ AiryBi ▪ AiryAiZero ▪ AiryBiZero
Periodic Potential
MathieuS ▪ MathieuC ▪ MathieuCharacteristicExponent
Coulomb Potential
CoulombF ▪ CoulombG ▪ CoulombH1 ▪ CoulombH2
Spheroidal Geometries
SpheroidalPS ▪ SpheroidalS1 ▪ SpheroidalEigenvalue
Scattering Theory
LegendreP ▪ SphericalBesselJ ▪ LegendreQ
Dirac Equation Solutions
Angular Momentum
ClebschGordan ▪ ThreeJSymbol ▪ SixJSymbol ▪ JacobiP ▪ PauliMatrix
Advanced Potentials
HeunG ▪ HeunC ▪ HeunD ▪ HeunB ▪ HeunT ▪ HeunTPrime ▪ Hypergeometric2F1