Browsing by Author "Kuru, S."

Now showing 1 - 3 of 3
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    Dynamical algebras of general Poschl-Teller hierarchies
    (2012) Kuru, S.; Fen Fakültesi
    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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    Intertwining algebras of quantum superintegrable systems on the hyperboloid
    (2008) Kuru, S.; Fen Fakültesi
    A class of quantum superintegrable Hamiltonians defined on a two-dimensional hyperboloid is considered together with a set of intertwining operators connecting all of them. It is shown that such intertwining operators close a su(2,1) Lie algebra and determine the Hamiltonians through the Casimir operators. The physical states are characterized as unitary representations of su(2, 1).
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    'Spectrum generating algebras' of classical systems: the Kepler-Coulomb potential
    (2012) Kuru, S.; Fen Fakültesi
    We construct the classical 'spectrum generating algebra' for the Kepler-Coulomb potential and find a type of constants of motion depending explicitly on time. Such constants give rise to the motion of this system in an algebraic way.