121 citations · 121 across the 1 of their papers we have counts for
3 papers
math-ph2003★ 121 cited
Superintegrable Systems in Darboux spaces
E. G. Kalnins, J. M. Kress, W. Miller +1
Almost all research on superintegrable potentials concerns spaces of constant curvature. In this paper we find by exhaustive calculation, all superintegrable potentials in the four…
math-ph2001
Superintegrability in a two-dimensional space of non-constant curvature
E. G. Kalnins, J. M. Kress, P. Winternitz
A Hamiltonian with two degrees of freedom is said to be superintegrable if it admits three functionally independent integrals of the motion. This property has been extensively stud…
math-ph2001
Completeness of superintegrability in two-dimensional constant curvature spaces
E. G. Kalnins, J. M. Kress, G. S. Pogosyan +1
We classify the Hamiltonians of all classical superintegrable systems in two dimensional complex Euclidean space with second-order constants of the motion. W…