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- Title
THE HIDDEN SYMMETRY FOR A QUANTUM SYSTEM WITH A PÖSCHL–TELLER-LIKE POTENTIAL.
- Authors
Dong, Shi-Hai; Sun, Guo-Hua; Tang, Yu
- 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 [formula] with ρ=πx/L.
- Subjects
EIGENVALUES; EIGENFUNCTIONS; MATRICES (Mathematics); QUANTUM theory; PHYSICS; CHEMISTRY
- Publication
International Journal of Modern Physics E: Nuclear Physics, 2003, Vol 12, Issue 6, p809
- ISSN
0218-3013
- Publication type
Article
- DOI
10.1142/S0218301303001570