On Spectrum Generating Algebra of the Heun Operator

Abstract

The Heun operator has been cast, in terms of the elements of an underlying $su(1,1)$ algebra, under specific parametric conditions, for the purpose of spectrum generation. These elements are differential operators of \emph{degrees} $\pm 1/2$ and $0$. It is found that the regular singularities at $0$ and $\infty$ of the general Heun equation must be \emph{elementary} under the required parametric conditions. The spectrum generation has been demonstrated through a set of examples.

6 pages, 1 figure; v2: Minor modification in abstract, some discussion added

References in corpus (1)

• Quasi-Exact Solvability and Deformations of Sl(2) Algebra