Dynamical algebras of general Poschl-Teller hierarchies
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2012
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Abstract
We investigate a class of operators connecting general Hamiltonians of the Poschl-Teller type. The operators involved depend on three parameters and their explicit action on eigenfunctions is found. The whole set of intertwining operators close a su(2, 2) approximate to so(4, 2) Lie algebra. The space of eigenfunctions supports a differential-difference realization of an irreducible representation of the su(2, 2) algebra.
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RADIAL SCHRODINGER-EQUATION, LOWERING OPERATORS