Three-Dimensional Addition Theorem for Arbitrary Functions Involving Expansions in Spherical Harmonics

DOI10.1063/1.1704115zbMath0121.40604OpenAlexW2075295661MaRDI QIDQ5733200

R. A. Sack

Publication date: 1964

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

Full work available at URL: https://doi.org/10.1063/1.1704115

zbMATH Keywords

theoretical physics

Related Items (8)

On the addition theorems for solid spherical harmonics ⋮ Compact formulae for three-center nuclear attraction integrals over exponential type functions ⋮ Fourier Expansions of Functions of the Distance between Two Points ⋮ A simple derivation of the addition theorems of the irregular solid harmonics, the Helmholtz harmonics, and the modified Helmholtz harmonics ⋮ Two-Center Expansion for the Powers of the Distance Between Two Points ⋮ Addition theorems for B functions and other exponentially declining functions ⋮ Bessel, sine and cosine functions and extrapolation methods for computing molecular multi-center integrals ⋮ Special Functions and the Complex Euclidean Group in 3-Space. III

Cites Work

• The Electrostatic Interaction of Two Arbitrary Charge Distributions
• Symmetry properties of Clebsch-Gordon’s coefficients
• Quadratic Expansions of Generalized Legendre's Associated Functions
• The Evaluation of Partial Wave Integrals in the Born Approximation
• Linearization of Products of Jacobi Polynomials.
• Irreducible Tensor Expansion of Solid Spherical Harmonic-Type Operators in Quantum Mechanics
• The Factorization Method
• Addition theorems for spherical waves

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