3 citations · 4 across the 2 of their papers we have counts for
2 papers
math-ph2025★ 1 cited
Polynomially Superintegrable Hamiltonians Separating in Cartesian Coordinates
Ian Marquette, Anthony Parr
The problem of finding superintegrable Hamiltonians and their integrals of motion can be reduced to solving a series of compatibility equations that result from the overdeterminati…
math-ph2023★ 3 cited
Superintegrability and Deformed Oscillator Realizations of Quantum TTW Hamiltonians on Constant-Curvature Manifolds and with Reflections in a Plane
Ian Marquette, Anthony Parr
We extend the method for constructing symmetry operators of higher order for two-dimensional quantum Hamiltonians by Kalnins, Kress and Miller (2010). This expansion method express…