Browsing by Author "Kalnins, Ernie G."
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Bôcher and Abstract Contractions of 2nd Order Quadratic Algebras
Escobar Ruiz, Mauricio A.; Kalnins, Ernie G.; Miller, W., Jr.; Subag, Eyal (Institute of Mathematics of NAS of Ukraine, 2017)Quadratic algebras are generalizations of Lie algebras which include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases. The superintegrable systems are exactly solvable physical ... 
Bôcher contractions of conformally superintegrable Laplace equations
Kalnins, Ernie G.; Miller, W., Jr.; Subag, Eyal (2016)The explicit solvability of quantum superintegrable systems is due to symmetry, but the symmetry is often “hidden”. The symmetry generators of 2nd order superintegrable systems in 2 dimensions close under commutation to ... 
Complete sets of functions for perturbations of Robertson Walker cosmologies
Kalnins, Ernie G.; Miller, W., Jr. (199105)Crucial to a knowledge of the perturbations of Robertson Walker cosmological models is a knowledge of complete sets of functions with which to expand such perturbations. For the open Robertson Walker cosmology, this question ... 
Complete sets of functions for perturbations of Robertson–Walker cosmologies and spin 1 equations in Robertson–Walkertype spacetimes
Kalnins, Ernie G.; Miller, W., Jr. (199103)Crucial to a knowledge of the perturbations of Robertson–Walker cosmological models are complete sets of functions with which to expand such perturbations. For the open Robertson–Walker cosmology an answer to this question ... 
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 ...