Abstract
A class of operators connecting general two-parametric Pöschl–Teller Hamiltonians is found. These operators include the so-called “shift” (changing only the potential parameters) and “ladder” (changing also the energy eigenvalue) operators. The explicit action on eigenfunctions is computed within a simple and symmetric three-subindex notation. It is shown that the whole set of operators close an su(2,2)≈so(4,2) dynamical Lie algebra. A unitary irreducible representation of this so(4,2) differential realization is characterized.
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