Closed forms of the Green's function and the generalized Green's function for the Helmholtz operator on theN-dimensional unit sphere

DOI10.1088/1751-8113/40/5/009zbMath1195.35118OpenAlexW2094507542MaRDI QIDQ3425254

Publication date: 7 March 2007

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

Full work available at URL: https://doi.org/10.1088/1751-8113/40/5/009

Mathematics Subject Classification ID

Wave equation (35L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Other special orthogonal polynomials and functions (33C47)

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A confined hydrogen atom in higher space dimensions ⋮ A hypergeometric integral with applications to the fundamental solution of Laplace's equation on hyperspheres ⋮ Wavelet based solutions to the Poisson and the Helmholtz equations on the \(n\)-dimensional unit sphere ⋮ The method of fundamental solutions applied to boundary value problems on the surface of a sphere ⋮ Traversable asymptotically flat wormholes with short transit times ⋮ Fundamental solutions and Gegenbauer expansions of Helmholtz operators in Riemannian spaces of constant curvature ⋮ A confined \(N\)-dimensional harmonic oscillator

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