A generating integral for the matrix elements of the Coulomb Green’s function with the Coulomb wave functions

DOI10.1063/1.5119349zbMath1439.81093arXiv1906.05144OpenAlexW2949061085MaRDI QIDQ5110765

O. D. Skoromnik, K. Dzikowski

Publication date: 22 May 2020

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

Full work available at URL: https://arxiv.org/abs/1906.05144

zbMATH Keywords

numerical integrationintegral transformsperturbation theoryrecurrence relationsCoulomb wave functionbinomial theoremRydberg statesLaurent series expansion

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Best approximation, Chebyshev systems (41A50) Perturbation theories for operators and differential equations in quantum theory (81Q15) Atomic physics (81V45) Green's functions for elliptic equations (35J08)

Cites Work

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• The hydrogen atom in \(D = 3 - 2\epsilon\) dimensions
• A generating integral for matrix elements of the Coulomb Green’s function
• The radial reduced Coulomb Green’s function

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