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    Por favor, use este identificador para citar o enlazar este ítem:http://uvadoc.uva.es/handle/10324/23457

    Título
    Superintegrability of the Fock-Darwin system
    Autor
    Drigo Filho, Elso
    Kuru, Sengul
    Negro Vadillo, Francisco JavierAutoridad UVA Orcid
    Nieto Calzada, Luis MiguelAutoridad UVA Orcid
    Año del Documento
    2017
    Editorial
    Elsevier
    Documento Fuente
    http://dx.doi.org/10.1016/j.aop.2017.05.003
    Résumé
    The Fock-Darwin system is analysed from the point of view of its symmetry properties in the quantum and classical frameworks. The quantum Fock-Darwin system is known to have two sets of ladder operators, a fact which guarantees its solvability. We show that for rational values of the quotient of two relevant frequencies, this system is superintegrable, the quantum symmetries being responsible for the degeneracy of the energy levels. These symmetries are of higher order and close a polynomial algebra. In the classical case, the ladder operators are replaced by ladder functions and the symmetries by constants of motion. We also prove that the rational classical system is superintegrable and its trajectories are closed. The constants of motion are also generators of symmetry transformations in the phase space that have been integrated for some special cases. These transformations connect different trajectories with the same energy. The coherent states of the quantum superintegrable system are found and they reproduce the closed trajectories of the classical one.
    Departamento
    Física Teórica, Atómica y Óptica
    ISSN
    0003-4916
    Idioma
    eng
    URI
    http://uvadoc.uva.es/handle/10324/23457
    Derechos
    openAccess
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    • FM - Artículos de revista [134]
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