Browsing by Author "Kress, Jonathan M."
Now showing items 1-5 of 17
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Complete sets of invariants for dynamical systems that admit a separation of variables
(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
(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
(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
(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
(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 ...
