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On Spectrum Generating Algebra of the Heun Operator

Research paper by Priyasri Kar, Ritesh K. Singh, Ananda Dasgupta, Prasanta K. Panigrahi

Indexed on: 05 Apr '16Published on: 05 Apr '16Published in: Quantum Physics



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.