Scattering by Singular Potentials with a Perturbation Theoretical Introduction to Mathieu Functions

Aly, H.H; Muller-Kirsten, H.J.W.; Vahedi-Faridi, N.

doi:10.1063/1.522602

Scattering by Singular Potentials with a Perturbation Theoretical Introduction to Mathieu Functions

1975

10 pages

Published in:

J.Math.Phys. 16 (1975) 961-970

DOI:

10.1063/1.522602

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Abstract: (AIP)

Different treatments of the important potential 1/r 4 are correlated to understand their interrelations and to clear up the connection between the eigenvalues of Mathieu’s equation and the poles of the S matrix. We also derive a new solution of the modified Mathieu equation. Mathematical and physical implications are also discussed.

POTENTIAL SCATTERING
S-MATRIX
REGGE POLES
PERTURBATION THEORY
QUANTUM MECHANICS

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