Dynamical algebras for Pöschl-Teller Hamiltonian hierarchies |
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| Authors: | ?. Kuru |
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| Affiliation: | a Department of Physics, Faculty of Sciences, Ankara University, 06100 Ankara, Turkey
b Departamento de Física Teórica, Atómica y Óptica, Universidad de Valladolid, 47071 Valladolid, Spain |
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| Abstract: | The dynamical algebras of the trigonometric and hyperbolic symmetric Pöschl-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. |
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| Keywords: | SUSY QM Dynamical algebras Spectrum generating algebras Pö schl-Teller potentials |
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