Scattering by singular potentials with a perturbation—Theoretical introduction to Mathieu functions

DOI10.1063/1.522602zbMath0307.33008OpenAlexW1991014709MaRDI QIDQ4064309

N. Vahedi-Faridi, H. J. W. Müller-Kirsten, H. H. Aly

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1063/1.522602

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Exponential and trigonometric functions (33B10)

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Cites Work

• The zeros of the Hankel function as a function of its order
• High-Energy Scattering for Yukawa Potentials
• Modification of Effective-Range Theory in the Presence of a Long-Range (r−4) Potential
• Theory of scattering on highly singular potentials
• Regge Poles and Branch Cuts for Potential Scattering
• Zeros of Hankel Functions and Poles of Scattering Amplitudes