Potentials of the Heun class

D. Batic, R. Williams, M. Nowakowski

Research output: Contribution to journalReview articlepeer-review

25 Scopus citations

Abstract

We review different methods of generating potentials such that the one-dimensional Schrödinger 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.

Original languageBritish English
Article number245204
JournalJournal of Physics A: Mathematical and Theoretical
Volume46
Issue number24
DOIs
StatePublished - 21 Jun 2013

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