"Implicit" potentials associated with Jacobi polynomials: some novel aspects

Brian Wesley Williams, Jennifer L. Rutherford, Géza Lévai

Research output: Contribution to journalArticle

13 Citations (Scopus)


The Schrödinger equation is solved for a potential V(g(r)) with an implicitly defined g(r) function. Generally, it resembles certain Pöschl-Teller potentials, up to isospectrality in a particular case. Together with a closely related implicit potential, it also offers a good example demonstrating certain unusual characteristics of attractive singular potentials.

Original languageEnglish
Pages (from-to)7-11
Number of pages5
JournalPhysics Letters A
Issue number1-2
Publication statusPublished - Mar 20 1995

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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