Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Gonera, Cezary"'
The light rays trajectories in Kerr metric, resulting from Fermat's principle, are considered from the point of view of integrable systems. It is shown how the counterpart of Carter constant emerges as a result of coupling-constant metamorphosis. The
Externí odkaz:
http://arxiv.org/abs/2409.11896
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 phase space. The symmetry structure of this family can be completely ch
Externí odkaz:
http://arxiv.org/abs/2303.13165
We generalize the results obtained recently (Nonlinearity \underline{36} (2023), 1143) by providing a very simple proof of the superintegrability of the Hamiltonian $H=\vec{p}\,^{2}+F(\vec{q}\cdot\vec{p})$, $\vec{q}, \vec{p}\in\mathbb{R}^{2}$, for an
Externí odkaz:
http://arxiv.org/abs/2208.05289
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 these potentials correspond either to an isotropic harmonic oscillator or
Externí odkaz:
http://arxiv.org/abs/2207.08935
Autor:
Acosta, John, Gonera, Cezary
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 motions are closed iff the product of the parameter $\tilde a$ of the M
Externí odkaz:
http://arxiv.org/abs/2012.08614
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 technical tool is the factorization of general Lorentz transformation
Externí odkaz:
http://arxiv.org/abs/2008.09478
Autor:
Gonera, Cezary, Gonera, Joanna
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 specified by two types of radial potentials (oscillator or (generalized) Kepl
Externí odkaz:
http://arxiv.org/abs/1907.11578
Publikováno v:
In Nuclear Physics, Section B February 2022 975
Akademický článek
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