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math-ph2023
The families of Hamiltonians sharing common symmetry structure
Cezary Gonera, Joanna Gonera, Artur Jasiński +1
We describe a general procedure which allows to construct, starting from a given Hamiltonian, the whole family of new ones sharing the same set of unparameterized trajectories in p…
math-ph2019
New superintegrable models on spaces of constant curvature
Cezary Gonera, Joanna Gonera
It is known that the fairly (most?) general class of 2D superintegrable systems defined on 2D spaces of constant curvature and separating in (geodesic) polar coordinates is specifi…