A simple derivation of the addition theorems of the irregular solid harmonics, the Helmholtz harmonics, and the modified Helmholtz harmonics
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Publication:3743613
DOI10.1063/1.526604zbMath0605.33007OpenAlexW2001050406MaRDI QIDQ3743613
E. Otto Steinborn, Ernst Joachim Weniger
Publication date: 1985
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526604
Many-body theory; quantum Hall effect (81V70) Applications of PDEs on manifolds (58J90) Spherical harmonics (33C55)
Related Items (4)
Use of Filter-Steinborn \(B\) and Guseinov \({Q_{ns}^q}\) auxiliary functions in evaluation of two-center overlap integrals over Slater type orbitals ⋮ A pseudopotential approach to scattering ⋮ Translational transformations of tensor solutions of the Helmholtz equation and their application to describe interactions in force fields of various physical nature ⋮ Addition theorems for B functions and other exponentially declining functions
Cites Work
- The Electrostatic Interaction of Two Arbitrary Charge Distributions
- On a new class of gradient formulas in the angular momentum theory
- New representations for the spherical tensor gradient and the spherical delta function
- Spherical delta functions and multipole expansions
- Non-classical integrals of Bessel functions
- Generating Functions for Spherical Harmonics Part I: Three-Dimensional Harmonics
- Properties of the regular and irregular solid harmonics
- Irreducible Tensor Expansion of Solid Spherical Harmonic-Type Operators in Quantum Mechanics
- Addition theorems for spherical wave functions
- Translational addition theorems for spherical vector wave functions
- Three-Dimensional Addition Theorem for Arbitrary Functions Involving Expansions in Spherical Harmonics
- Addition theorems for spherical waves
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