46 citations · 290 across the 31 of their papers we have counts for
31 papers
Coupling constant metamorphosis, Fermat principle and light propagation in Kerr metric
Joanna Piwnik, Joanna Gonera, Cezary Gonera +1
The geodesics of Kerr's metric are described by the four-dimensional Hamiltonian dynamics integrable in the Arnold--Liouville sense. It can be reduced to two-dimensional one by the…
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…
On the generalization of classical Zernike system
Cezary Gonera, Joanna Gonera, Piotr Kosinski
We generalize the results obtained recently (Nonlinearity \underline{36} (2023), 1143) by providing a very simple proof of the superintegrability of the Hamiltonian $H=\vec{p}\,^{2…
More on superintegrable models on spaces of constant curvature
Cezary Gonera, Joanna Gonera, Javier de Lucas +2
A known general class of superintegrable systems on 2D spaces of constant curvature can be defined by potentials separating in (geodesic) polar coordinates. The radial parts of the…
Superintegrable dynamics on generated by coupling the Morse and Rosen-Morse potentials
John Acosta, Cezary Gonera
A Hamiltonian dynamics defined on the two-dimensional hyperbolic plane by coupling the Morse and Rosen-Morse potentials is analyzed. It is demonstrated that orbits of all bounded m…
Spinning particles, coadjoint orbits and Hamiltonian formalism
Krzysztof Andrzejewski, Cezary Gonera, Joanna Goner +2
The extensive analysis of the dynamics of relativistic spinning particles is presented. Using the coadjoint orbits method the Hamiltonian dynamics is explicitly described. The main…