91 citations · 1.2k across the 114 of their papers we have counts for
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Generalized five-dimensional Kepler system, Yang-Coulomb monopole and Hurwitz transformation
Ian Marquette
The 5D Kepler system possesses many interesting properties. This system is superintegrable and also with a nonAbelian monopole interaction (Yang-Coulomb monopole). This sys…
Classical ladder operators, polynomial Poisson algebras and classification of superintegrable systems
Ian Marquette
We recall results concerning one-dimensional classical and quantum systems with ladder operators. We obtain the most general one-dimensional classical systems respectively with a t…
Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential
Véronique Hussin, Ian Marquette
We consider classical and quantum one and two-dimensional systems with ladder operators that satisfy generalized Heisenberg algebras. In the classical case, this construction is re…
Generalized Kaluza-Klein monopole, quadratic algebras and ladder operators
Ian Marquette
We present a generalized Kaluza-Klein monopole system. We solve this quantum superintegrable systems on a Euclidean Taub Nut manifold using the separation of variables of the corre…