SPECTRAL THEORY OF DIRAC'S RADIAL RELATIVISTIC WAVE EQUATION

Journal Article · Sat Sep 01 00:00:00 EDT 1962 · J. Math. Phys.

DOI:https://doi.org/10.1063/1.1724302· OSTI ID:4769936

Roos, B W; Sangren, W C

The analytical methods developed 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 a 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. (auth)

• Research Organization: General Atomic Div., General Dynamics Corp., San Diego, Calif.
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-002436
• OSTI ID: 4769936
• Journal Information: J. Math. Phys., Vol. Vol: 3; Other Information: Orig. Receipt Date: 31-DEC-63
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

PHYSICS
DIFFERENTIAL EQUATIONS
DIRAC EQUATIONS
EIGENVALUES
MATHEMATICS
QUANTUM MECHANICS
RELATIVITY THEORY
SPECTRA
SPIN
STURM-LIOUVILLE EQUATIONS