RT Journal Article
T1 On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models
A1 Rodríguez González, Miguel Ángel
A1 Tempesta, Piergiulio
AB 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.
PB IOP Publishing Ltd
SN 1751-8113
YR 2022
FD 2022-12-16
LK https://hdl.handle.net/20.500.14352/72911
UL https://hdl.handle.net/20.500.14352/72911
LA eng
NO © 2022 IOP Publishing Ltd.We wish to thank G Gubbiotti and D Latini for interesting discussions. This work has been partly supported by the Universidad Complutense de Madrid under Grant G/6400100/3000, and by the Severo Ochoa Programme for Centres of Excellence in R & D (CEX2019-000904-S), Ministerio de Ciencia, Innovacion y Universidades y Agencia Estatal de Investigacion, Spain.P T is member of the Gruppo Nazionale di Fisica Matematica (GNFM).
NO Universidad Complutense de Madrid
NO Centros de Excelencia Severo Ochoa (MICINN)
DS Docta Complutense
RD 2 may 2024