Browsing by Author "Kress, Jonathan M."

Now showing items 1-5 of 17

  • Complete sets of invariants for dynamical systems that admit a separation of variables

    Kalnins, Ernie G.; Kress, Jonathan M.; Miller, W., Jr.; Pogosyan, G.S. (American Institute of Physics, 2002-07)
    Consider a classical Hamiltonian H in n dimensions consisting of a kinetic energy term plus a potential. If the associated Hamilton–Jacobi equation admits an orthogonal separation of variables, then it is possible to ...
  • Extended Kepler–Coulomb quantum superintegrable systems in three dimensions

    Kalnins, Ernie G.; Kress, Jonathan M.; Miller, W., Jr. (Institute of Physics, 2013)
    The quantum Kepler-Coulomb system in three dimensions is well known to be second order superintegrable, with a symmetry algebra that closes polynomially under commutators. This polynomial closure is also typical for second ...
  • Families of classical subgroup separable superintegrable systems

    Kalnins, Ernie G.; Kress, Jonathan M. (IOP Publishing, 2010)
    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 ...
  • Laplace-type equations as conformal superintegrable systems

    Kalnins, Ernie G.; Kress, Jonathan M.; Miller, W., Jr.; Post, Sarah (Elsevier, 2010)
    We lay out the foundations of the theory of second order conformal superintegrable systems. Such systems are essentially Laplace equations on a manifold with an added potential: (Δn+V(x))Ψ=0. Distinct families of second ...
  • Nondegenerate three-dimensional complex Euclidean superintegrable systems and algebraic varieties

    Kalnins, Ernie G.; Kress, Jonathan M.; Miller, W., Jr. (American Institute of Physics, 2007)
    A classical (or quantum) second order superintegrable system is an integrable n-dimensional Hamiltonian system with potential that admits 2n−1 functionally independent second order constants of the motion polynomial in the ...

Jonathan M. Kress has 5 co-authors in Research Commons.