New applications of the Biedenharn-Temple operator

TL;DR

This paper extends the Biedenharn approach to solve a spin-2 particle in a combined Dirac monopole and inverse-square potential, providing explicit solutions through diagonalization of the Biedenharn-Temple operator.

Contribution

It applies the Biedenharn-Temple operator method to a new physical system involving a spin-2 particle with monopole and potential interactions, offering explicit solutions.

Findings

Explicit solution for the system obtained

Diagonalization of the Biedenharn-Temple operator demonstrated

Extension of Biedenharn approach to higher spin particles

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, $\Gamma$.