The hidden symmetry for a quantum system with a Pöschl-Teller-like potential

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Abstract

The eigenvalues and eigenfunctions of the Schrödinger equation with a Pöschl-Teller (PT)-like potential are presented. A realization of the creation and annihilation operators for the wave functions is carried out. It is shown that these operators satisfy the commutation relations of an SU (1, 1) group. Closed analytical expressions are evaluated for the matrix elements of different functions, sin(ρ) and cos(ρ)d/dρ with ρ = πx/L.

Original languageEnglish
Pages (from-to)809-815
Number of pages7
JournalInternational Journal of Modern Physics E
Volume12
Issue number6
DOIs
StatePublished - Dec 2003
Externally publishedYes

Keywords

  • Matrix element
  • Pöschl-Teller-like potential
  • SU/(1,1) group

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