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

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18 Citations (Scopus)

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 languageAmerican English
Pages (from-to)809-815
Number of pages727
JournalInternational Journal of Modern Physics E
DOIs
StatePublished - 1 Dec 2003
Externally publishedYes

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operators
commutation
symmetry
eigenvectors
eigenvalues
wave functions
matrices

Cite this

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abstract = "The eigenvalues and eigenfunctions of the Schr{\"o}dinger equation with a P{\"o}schl-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.",
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The hidden symmetry for a quantum system with a Pöschl-Teller-like potential. / Dong, Shi Hai; Sun, Guo Hua; Tang, Yu.

In: International Journal of Modern Physics E, 01.12.2003, p. 809-815.

Research output: Contribution to journalArticleResearchpeer-review

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AU - Sun, Guo Hua

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