Clebsch-Gordan Coefficients and Special Function Identities. I. The Harmonic Oscillator Group

DOI10.1063/1.1666031zbMath0234.33017OpenAlexW2003422916MaRDI QIDQ5642829

Willard jun. Miller

Publication date: 1972

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1666031

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items

Clebsch-Gordan Coefficients and Special Function Identities. II. The Rotation and Lorentz Groups in 3-Space ⋮ Lie theory and separation of variables. 7. The harmonic oscillator in elliptic coordinates and Ince polynomials ⋮ Lie theory and separation of variables. 5. The equations iUt + Uxx = 0 and iUt + Uxx −c/x2 U = 0

Cites Work

• The representations of the oscillator group
• Lie theory and difference equations. I
• Lie Theory and Special Functions Satisfying Second Order Nonhomogeneous Differential Equations
• Radial Matrix Elements of the Radial-Angular Factorized Hydrogen Atom

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