Functions Used in Quantum Mechanics

Harmonic Oscillator

HermiteH  ▪  LaguerreL

Hydrogen Atom

SphericalHarmonicY  ▪  LaguerreL  ▪  Hypergeometric1F1  ▪  WhittakerM

Linear Potential

AiryAi  ▪  AiryAiPrime  ▪  AiryBi  ▪  AiryAiZero  ▪  AiryBiZero

Periodic Potential

MathieuS  ▪  MathieuC  ▪  MathieuCharacteristicExponent

Spheroidal Geometries

SpheroidalPS  ▪  SpheroidalS1  ▪  SpheroidalEigenvalue

Scattering Theory

LegendreP  ▪  SphericalBesselJ  ▪  LegendreQ

Dirac Equation Solutions

Hypergeometric1F1  ▪  BesselK

Angular Momentum

ClebschGordan  ▪  ThreeJSymbol  ▪  SixJSymbol  ▪  JacobiP  ▪  PauliMatrix