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- Title
Unified and simple derivation of energy levels for the Pöschl-Teller-type and Scarf-type potentials.
- Authors
Benchiheub, Nadjet; Kasri, Yazid; Kahoul, Abdelhalim
- Abstract
A general class of potentials covering the Pöschl-Teller-type and Scarf-type is considered. The analytical expression of the energy eigenvalues is established with the help of the exact quantization formula. Then, using appropriate coordinate transformations, the exact spectrums of five well-known potentials: Pöschl-Teller, Pöschl-Teller I and Pöschl-Teller II, Scarf I, and Scarf II, are deduced in a simple way.
- Subjects
ENERGY derivatives; POSCHL-Teller potential; EIGENVALUES; QUANTIZATION (Physics); ENERGY levels (Quantum mechanics); MATHEMATICAL models
- Publication
Canadian Journal of Physics, 2015, Vol 93, Issue 12, p1486
- ISSN
0008-4204
- Publication type
Article
- DOI
10.1139/cjp-2015-0200