New representations for the spherical tensor gradient and the spherical delta function

DOI10.1063/1.525649zbMath0572.33008OpenAlexW2004723419MaRDI QIDQ3689464

Ernst Joachim Weniger, E. Otto Steinborn

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525649

zbMATH Keywords

Fourier transformsmodified Bessel functionsYukawa potentialmomentum algebraspherical delta functionspherical tensor gradient

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of PDEs on manifolds (58J90) Spherical harmonics (33C55)

Related Items (7)

A simple derivation of the addition theorems of the irregular solid harmonics, the Helmholtz harmonics, and the modified Helmholtz harmonics ⋮ Integrals of the paramagnetic contribution in the relativistic calculation of the shielding tensor ⋮ On the mathematical nature of Guseinov's rearranged one-range addition theorems for Slater-type functions ⋮ The \(HD\) and \(H\bar D\) methods for accelerating the convergence of three-center nuclear attraction and four-center two-electron Coulomb integrals over \(B\) functions and their convergence properties ⋮ Addition theorems for B functions and other exponentially declining functions ⋮ Bessel, sine and cosine functions and extrapolation methods for computing molecular multi-center integrals ⋮ Weakly convergent expansions of a plane wave and their use in Fourier integrals

Cites Work

• Spherical delta functions and multipole expansions
• A matrix representation of the translation operator with respect to a basis set of exponentially declining functions
• Non-classical integrals of Bessel functions
• The three-dimensional convolution of reduced Bessel functions and other functions of physical interest

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