Expansions Associated with a Pair of Singular First‐Order Differential Equations

Expansions Associated with a Pair of Singular First‐Order Differential Equations

This paper reports on the continuation of a study of the spectral properties of a Dirac operator. The analytical methods developed by Weyl and Titchmarsh for the analysis of the Sturm‐Liouville equation are extended to the investigation of a system of two singular first‐order differential equations....

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Veröffentlicht in:Journal of Mathematical Physics (New York) (U.S.) 1963-08, Vol.4 (8), p.999-1008
Hauptverfasser: Roos, B. W., Sangren, W. C.
Format: Artikel
Sprache:eng
Schlagworte:
DIFFERENTIAL EQUATIONS
DIFFUSION LENGTH
DIRAC EQUATIONS
ELECTRIC FIELDS
ENERGY
ENERGY RANGE
IONS
MATHEMATICS
MATHEMATICS AND COMPUTERS
MOTION
NITROGEN
OPERATORS
PRESSURE
SPECTRA
VELOCITY
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Beschreibung
Zusammenfassung:This paper reports on the continuation of a study of the spectral properties of a Dirac operator. The analytical methods developed by Weyl and Titchmarsh for the analysis of the Sturm‐Liouville equation are extended to the investigation of a system of two singular first‐order differential equations. Expansions associated with the system are established and a convergence theorem is presented.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1704041