Comprehensive analysis of conditionally exactly solvable models

Rajkumar Roychoudhury, Pinaki Roy, Miloslav Znojil, Géza Lévai

Research output: Contribution to journalArticle

35 Citations (Scopus)


We study a quantum mechanical potential introduced previously as a conditionally exactly solvable (CES) model. Besides an analysis following its original introduction in terms of the point canonical transformation, we also present an alternative supersymmetric construction of it. We demonstrate that from the three roots of the implicit cubic equation defining the bound-state energy eigenvalues, there is always only one that leads to a meaningful physical state. Finally we demonstrate that the present CES interaction is, in fact, an exactly solvable Natanzon-class potential.

Original languageEnglish
Pages (from-to)1996-2007
Number of pages12
JournalJournal of Mathematical Physics
Issue number5
Publication statusPublished - May 1 2001

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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