Spectral Theory of Dirac's Radial Relativistic Wave Equation

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Abstract
The analytical methods developed by Weyl and Titchmarsh for the study of the Sturm‐Liouville equation are extended to the investigation of the spectral properties of the Dirac radial wave equation. It is shown how Weyl's limit‐point, limit‐circle theorem may be generalized to include the singular cases of a system of two first‐order differential equations. A transformation is introduced and order properties are established for the solution of the corresponding integral equations. The nature of the spectrum is discussed for specific singular potentials.

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