Dynamical algebras for Poeschl-Teller Hamiltonian hierarchies
Journal Article
·
· Annals of Physics (New York)
- Department of Physics, Faculty of Sciences, Ankara University, 06100 Ankara (Turkey)
The dynamical algebras of the trigonometric and hyperbolic symmetric Poeschl-Teller Hamiltonian hierarchies are obtained. A kind of discrete-differential realizations of these algebras are found which are isomorphic to so(3, 2) Lie algebras. In order to get them, first the relation between ladder and factor operators is investigated. In particular, the action of the ladder operators on normalized eigenfunctions is found explicitly. Then, the whole dynamical algebras are generated in a straightforward way.
- OSTI ID:
- 21336074
- Journal Information:
- Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 12 Vol. 324; ISSN APNYA6; ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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