Wednesday, December 5, 2012

1212.0448 (Davide Batic et al.)

Potentials of the Heun class    [PDF]

Davide Batic, Runako Williams, Marek Nowakowski
We review different methods of generating potentials such that the one-dimensional Schr\"{o}dinger equation (ODSE) can be transformed into the hypergeometric equation. We compare our results with previous studies, and complement the subject with new findings. Our main result is to derive new classes of potentials such that the ODSE can be transformed into the Heun equation and its confluent cases. The generalized Heun equation is also considered.
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