Person:
Tempesta, Piergiulio

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First Name
Piergiulio
Last Name
Tempesta
URI
https://hdl.handle.net/20.500.14352/74979
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Físicas
Department
Física Teórica
Area
Matemática Aplicada
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Author: Rodríguez González, Miguel Ángel × End date: 2022 × Start date: 2020 ×

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    On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models
    (Journal of physics A: Mathematical and theoretical, 2022) Rodríguez González, Miguel Ángel; Tempesta, Piergiulio
    We introduce a family of n-dimensional Hamiltonian systems which, contain, as special reductions, several superintegrable systems as the Tremblay-Turbiner-Winternitz system, a generalized Kepler potential and the anisotropic harmonic oscillator with Rosochatius terms. We conjecture that there exist special values in the space of parameters, apart from those leading to known cases, for which this new Hamiltonian family is superintegrable.