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On Spectrum Generating Algebra of the Heun Operator (1601.03601v2)
Published 14 Jan 2016 in quant-ph, gr-qc, hep-th, math-ph, and math.MP
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.
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