59 citations · 279 across the 27 of their papers we have counts for
27 papers
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…
Kepler problem and chiral effective dynamics
Katarzyna Bolonek-Lason, Joanna Gonera, Piotr Kosinski
It is shown that by an appropriate canonical transformation Kepler dynamics can be put in the form which allows to exhibit the structure of the symmetry transformations related to…
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…
Fermat's principle in constant gravitational field
Joanna Gonera, Piotr Kosinski, Joanna Piwnik
Recently (Int.Journ.Mod.Phys. D27 (2018), 1847025) an interesting property of closed light rings in Kerr black holes has been noticed. We explain its origin and derive a slightly m…
Global Symmetries of the Kepler Problem
Joanna Gonera, Piotr Kosinski, Patryk Michel
The global symmetry transformations generated by Runge-Lenz vector of twodimensional Kepler problem are explicitly described. They are given in terms of SU(2) left group multiplica…