Phase-integral formulas for Coulomb wave functions with complex values of the variable and the parameters

DOI10.1063/1.533084zbMath0967.81022OpenAlexW1965180211MaRDI QIDQ4498520

Staffan Yngve, Aleksander Dzieciol, Per Olof Fröman

Publication date: 16 August 2000

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

Full work available at URL: https://doi.org/10.1063/1.533084

zbMATH Keywords

Coulomb wave functionsphase-integral approximationphase-integral formulas

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) General mathematical topics and methods in quantum theory (81Q99) Other wave functions (33E15)

Related Items (1)

Phase-integral calculation of the phase of the regular Coulomb wave function FL(η,ρ)

Cites Work

• Approximations for coulomb wave functions
• Phase-integral formulas for Bessel functions and their relation to already existing asymptotic formulas
• Coulomb wave functions with complex values of the variable and the parameters
• The Stokes constants for a cluster of transition points
• On the Connection Formulas and the Solutions of the Wave Equation

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