Algebraic approach to energy spectra of the Scarf type and generalized Pöschl-Teller potentials

Gao Feng Wei, Shi Hai Dong

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

Using the shape invariance approach, we obtain analytical energy spectra of the Scarf-type and generalized Pöschl-Teller potentials and calculate them numerically. The eigenfunctions are also presented for completeness. We find that their eigenfunctions can be expressed by the Nomanovski polynomials and hypergeometric functions, respectively. The key point is how to find their superpotentials using the Sturm-Liouville theorem.

Original languageEnglish
Pages (from-to)1225-1231
Number of pages7
JournalCanadian Journal of Physics
Volume89
Issue number12
DOIs
StatePublished - Dec 2011

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