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 language | English |
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Pages (from-to) | 809-815 |
Number of pages | 7 |
Journal | International Journal of Modern Physics E |
Volume | 12 |
Issue number | 6 |
DOIs | |
State | Published - Dec 2003 |
Externally published | Yes |
Keywords
- Matrix element
- Pöschl-Teller-like potential
- SU/(1,1) group