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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…