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    Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10259.4/2569

    Título
    A maximally superintegrable deformation of the N-dimensional quantum Kepler–Coulomb system
    Autor
    Ballesteros Castañeda, ÁngelUBU authority Orcid
    Enciso, Alberto .
    Herranz Zorrilla, Francisco JoséUBU authority Orcid
    Ragnisco, Orlando .
    Riglioni, Danilo .
    Publicado en
    Journal of Physics: Conference Series. 2013, 474, conference 1, 012008
    Editorial
    IOP Publishing
    Fecha de publicación
    2013
    ISSN
    1742-6588
    DOI
    10.1088/1742-6596/474/1/012008
    Descripción
    XXIst International Conference on Integrable Systems and Quantum Symmetries (ISQS21,) 12–16 June 2013, Prague, Czech Republic
    Abstract
    The N-dimensional quantum Hamiltonian Hˆ = − ~ 2 |q| 2(η + |q|) ∇ 2 − k η + |q| is shown to be exactly solvable for any real positive value of the parameter η. Algebraically, this Hamiltonian system can be regarded as a new maximally superintegrable η-deformation of the N-dimensional Kepler–Coulomb Hamiltonian while, from a geometric viewpoint, this superintegrable Hamiltonian can be interpreted as a system on an N-dimensional Riemannian space with nonconstant curvature. The eigenvalues and eigenfunctions of the model are explicitly obtained, and the spectrum presents a hydrogen-like shape for positive values of the deformation parameter η and of the coupling constant k.
    Materia
    Física
    Physics
    URI
    http://hdl.handle.net/10259.4/2569
    Versión del editor
    https://doi.org/10.1088/1742-6596/474/1/012008
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    • Artículos FISMAT-UBU
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