Перегляд за автором "Kress, J.M."

Сортувати за: Порядок: Результатів:

  • A Recurrence Relation Approach to Higher Order Quantum Superintegrability 
    Kalnins, E.G.; Kress, J.M.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We develop our method to prove quantum superintegrability of an integrable 2D system, based on recurrence relations obeyed by the eigenfunctions of the system with respect to separable coordinates. We show that the method ...
  • Invariant Classification and Limits of Maximally Superintegrable Systems in 3D 
    Capel, J.J.; Kress, J.M.; Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The invariant classification of superintegrable systems is reviewed and utilized to construct singular limits between the systems. It is shown, by construction, that all superintegrable systems on conformally flat, 3D ...
  • Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials 
    Kalnins, E.G.; Kress, J.M.; Post, S.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The structure theory for the quadratic algebra generated by first and second order constants of the motion for 2D second order superintegrable systems with nondegenerate (3-parameter) and or 2-parameter potentials is well ...
  • Tools for Verifying Classical and Quantum Superintegrability 
    Kalnins, E.G.; Kress, J.M.; Willard Miller, Jr. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Recently many new classes of integrable systems in n dimensions occurring in classical and quantum mechanics have been shown to admit a functionally independent set of 2n−1 symmetries polynomial in the canonical momenta, ...