Dynamical algebras for Pöschl–Teller Hamiltonian hierarchies
2009; Elsevier BV; Volume: 324; Issue: 12 Linguagem: Inglês
10.1016/j.aop.2009.08.004
ISSN1096-035X
Autores Tópico(s)Nonlinear Waves and Solitons
ResumoThe 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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