146 citations · 847 across the 74 of their papers we have counts for
74 papers
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…
Classical and quantum particles from nongeneric conformal orbits
Piotr Kosinski, Pawel Maslanka
The nongeneric six- and eightdimensional orbits of SO(4,2) are described in explicitly covariant way. The relevant Hamiltonian dynamical systems are constructed and canonically qua…
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…
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…