Research Commons
      • Browse 
        • Communities & Collections
        • Titles
        • Authors
        • By Issue Date
        • Subjects
        • Types
        • Series
      • Help 
        • About
        • Collection Policy
        • OA Mandate Guidelines
        • Guidelines FAQ
        • Contact Us
      • My Account 
        • Sign In
        • Register
      View Item 
      •   Research Commons
      • University of Waikato Research
      • Computing and Mathematical Sciences
      • Computing and Mathematical Sciences Papers
      • View Item
      •   Research Commons
      • University of Waikato Research
      • Computing and Mathematical Sciences
      • Computing and Mathematical Sciences Papers
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      Families of classical subgroup separable superintegrable systems

      Kalnins, Ernie G.; Kress, Jonathan M.
      DOI
       10.1088/1751-8113/43/9/092001
      Link
       iopscience.iop.org
      Find in your library  
      Citation
      Export citation
      Kalnins, E.G., Kress, J.M. & Miller, W. Jr. (2010). Families of classical subgroup separable superintegrable systems. Journal of Physics: A Mathematical and Theoretical, 43(9), 092001.
      Permanent Research Commons link: https://hdl.handle.net/10289/4753
      Abstract
      We describe a method for determining a complete set of integrals for a classical Hamiltonian that separates in orthogonal subgroup coordinates. As examples, we use it to determine complete sets of integrals, polynomial in the momenta, for some families of generalized oscillator and Kepler–Coulomb systems, hence demonstrating their superintegrability. The latter generalizes recent results of Verrier and Evans, and Rodríguez, Tempesta and Winternitz. Another example is given of a superintegrable system on a non-conformally flat space.
      Date
      2010
      Type
      Journal Article
      Publisher
      IOP Publishing
      Collections
      • Computing and Mathematical Sciences Papers [1455]
      Show full item record  

      Usage

       
       
       

      Usage Statistics

      For this itemFor all of Research Commons

      The University of Waikato - Te Whare Wānanga o WaikatoFeedback and RequestsCopyright and Legal Statement