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

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 physica...

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Veröffentlicht in:	J. Math. Phys. (N.Y.), v. 16, no. 4, pp. 961-970 v. 16, no. 4, pp. 961-970, 1975-04, Vol.16 (4), p.961-970
Hauptverfasser:	Aly, H. H., Müller−Kirsten, H. J. W., Vahedi−Faridi, N.
Format:	Artikel
Sprache:	eng
Schlagworte:	CENTRAL POTENTIAL MATHIEU EQUATION- EIGENVALUES N64500 -Physics (High Energy)-Scattering Theory PHASE SHIFT POTENTIAL SCATTERING- S MATRIX REGGE POLES REGGE TRAJECTORIES S MATRIX SCHROEDINGER EQUATION- ANALYTICAL SOLUTION SINGULARITY
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Zusammenfassung:	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.
ISSN:	0022-2488 1089-7658
DOI:	10.1063/1.522602