12 citations · 12 across the 1 of their papers we have counts for
3 papers
nlin.SI2020
The Role of Commuting Operators in Quantum Superintegrable Systems
Allan P. Fordy
We discuss the role of commuting operators for quantum superintegrable systems, showing how they are used to build eigenfunctions. These ideas are illustrated in the context of res…
nlin.SI2019
Superintegrable Systems on 3 Dimensional Conformally Flat Spaces
Allan P. Fordy, Qing Huang
We consider Hamiltonians associated with 3 dimensional conformally flat spaces, possessing 2, 3 and 4 dimensional isometry algebras. We use the conformal algebra to build additiona…
nlin.SI2019★ 12 cited
Eisenhart Lift of --Dimensional Mechanics
Allan P. Fordy, Anton Galajinsky
The Eisenhart lift is a variant of geometrization of classical mechanics with degrees of freedom in which the equations of motion are embedded into the geodesic equations of a…