Operator transformations between exactly solvable potentials and their Lie group generators

Andrew J. Bordner

Research output: Contribution to journalArticle


One may obtain, using operator transformations, algebraic relations between the Fourier transforms of the causal propagators of different exactly solvable potentials. These relations are derived for the shape invariant potentials. Also, potentials related by real transformation functions are shown to have the same spectrum generating algebra with Hermitian generators related by this operator transformation.

Original languageEnglish (US)
Pages (from-to)3927-3936
Number of pages10
JournalJournal of Physics A: Mathematical and General
Issue number11
StatePublished - Jun 7 1997


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this