New applications of the Biedenharn-Temple operator

Abstract

The Biedenharn approach to the Dirac-Coulomb problem is applied to a system considered by D'Hoker and Vinet, which consists of a spin $\2$ particle in the combined field of a Dirac monopole plus a ${\lambda }^2/r^2$ potential. The explicit solution is obtained by diagonalizing the Biedenharn-Temple operator, $\Gamma$.

Dedicated to Prof. L. C. Biedenharn, on his 70th birthday. Published in {\it Festschrift in honor of L. C. Biedenharn}, ed. B. Gruber. Plenum : New York (1994). Plain Tex, 4 pages