56 citations · 149 across the 7 of their papers we have counts for
7 papers
Laplace equations, conformal superintegrability and Bôcher contractions
E. Kalnins, W. Miller, E. Subag
Quantum superintegrable systems are solvable eigenvalue problems. Their solvability is due to symmetry, but the symmetry is often "hidden". The symmetry generators of 2nd order sup…
Superintegrability in a non-conformally-flat space
E. G. Kalnins, J. M. Kress, W. Miller
Superintegrable systems in two- and three-dimensional spaces of constant curvature have been extensively studied. From these, superintegrable systems in conformally flat spaces can…
Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials
Ernest G. Kalnins, Jonathan M. Kress, Willard Miller +1
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-paramet…
Subgroup type coordinates and the separation of variables in Hamilton-Jacobi and Schrődinger equations
E. G. Kalnins, Z. Thomova, P. Winternitz
Separable coordinate systems are introduced in the complex and real four-dimensional flat spaces. We use maximal Abelian subgroups to generate coordinate systems with a maximal num…
Superintegrability on the two dimensional hyperboloid II
E. G. Kalnins, W. Miller, Ye. M. Hakobyan +1
This work is devoted to the investigation of the quantum mechanical systems on the two dimensional hyperboloid which admit separation of variables in at least two coordinate system…
Coulomb-oscillator duality in spaces of constant curvature
E. G. Kalnins, W. Miller, G. S. Pogosyan
In this paper we construct generalizations to spheres of the well known Levi-Civita, Kustaanheimo-Steifel and Hurwitz regularizing transformations in Euclidean spaces of dimensions…