On Spectrum Generating Algebra of the Heun Operator
Priyasri Kar, Ritesh K. Singh, Ananda Dasgupta, Prasanta K. Panigrahi
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}
±1/2
and
0
. It is found that the regular singularities at
0
and
∞
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.