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Periodicity and quasi-periodicity for super-integrable Hamiltonian system

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  • معلومة اضافية
    • Contributors:
      Institut de Physique Nucléaire de Lyon (IPNL); Université Claude Bernard Lyon 1 (UCBL); Université de Lyon-Université de Lyon-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS); Centre de Recherches Mathématiques Montréal (CRM); Université de Montréal (UdeM)
    • بيانات النشر:
      HAL CCSD
      Elsevier
    • الموضوع:
      1990
    • Collection:
      HAL Lyon 1 (University Claude Bernard Lyon 1)
    • نبذة مختصرة :
      Classical trajectories are calculated for two Hamiltonian systems with ring shaped potentials. Both systems are super-integrable, but not maximally super-integrable, having four globally defined single valued integrals of motion each. All finite trajectories are quasi-periodical; they become truly periodical if a commensurability condition is imposed on an angular momentum component.
    • Relation:
      info:eu-repo/semantics/altIdentifier/arxiv/quant-ph/0405017; hal-00001516; https://hal.science/hal-00001516; https://hal.science/hal-00001516/document; https://hal.science/hal-00001516/file/kibwinPLA.pdf; ARXIV: quant-ph/0405017
    • الرقم المعرف:
      10.1016/0375-9601(90)90549-4
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.CC47DF9D