The partial-wave projected Coulomb T matrix for all l in closed hypergeometric form

DOI10.1063/1.525807zbMath0523.35096OpenAlexW1980804211MaRDI QIDQ3035999

Henk van Haeringen

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525807

zbMATH Keywords

Coulomb potentialJacobi polynomialLegendre functionT matrixoff-shell Coulomb T matrixpartial-wave projectionsquantum-mechanical scattering of charged particles

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (n)-body potential quantum scattering theory (81U10) (2)-body potential quantum scattering theory (81U05) Partial differential equations of mathematical physics and other areas of application (35Q99) Classical hypergeometric functions, ({}_2F_1) (33C05) Spherical harmonics (33C55)

Related Items (2)

Off-shell Jost solutions for Coulomb and Coulomb-like interactions in all partial waves ⋮ The analytic \(T\)-matrix for the Hulthén potential in all partial waves

Cites Work

• The Coulomb and Coulomb-like off-shell Jost functions
• Coulomb Green's Function

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