Browsing by Author "Kress, Jonathan M."
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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, 200207)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 KeplerCoulomb 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 ... 
Laplacetype 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 threedimensional 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 ndimensional Hamiltonian system with potential that admits 2n−1 functionally independent second order constants of the motion polynomial in the ...
Coauthors for Jonathan M. Kress
Jonathan M. Kress has 5 coauthors in Research Commons.